Help me answer the following activities below and follow the given pages. Will rate you helpful, thank you.

A. 0.66 B. 0.67 C. 0.68 D. 0.69 7. What is the equation of the line of best fit or regression line? A. y' = 0.65x + 31.66 C. y' = 0.66x + 31.66 B. y' = 31.66x + 0.66 D. y' = 31.66x + 0.65 8. Given the obtained regression line equation, what is the estimated grade of a Grade 11 learner in Second Quarter if his First Quarter grade in Statistics is 75? A. 77 B. 79 C. 81 D. 83 For items 9-12. Reading books has significant health benefits that can last a lifetime. It empirically transforms the mind according to an increasing body of evidence. Supposed a researcher explores the relationship between the number of days (x) Grade 11 learners spend reading a book and the number of books (y) they have read. It is found that the equation of the line of best fit is given by the formula y' = 2.02x + 1.01. 9. What is the estimated value of the number of books a Grade 11 learner spends to read in 6 days? A. 8 B. 10 C. 11 D. 13 10. Using the equation, how many days can a Grade 11 learner read 11 books? A. 23 B. 25 C. 27 D. 29 11. What interpretation can be made about the y-intercept of the regression line? A. If the number of days a Grade 11 learner spends reading a book is 0, then the number of books he/she has read is predicted to be approximately 2.02. B. If the number of days a Grade 11 learner spends reading a book increases by 1 day, then the number of books he/she has read is predicted to be approximately 1.01. C. If the number of days a Grade 11 learner spends reading a book is 0, then the number of books he/she has read is predicted to be approximately 1.01. D. If the number of days a Grade 11 learner spends reading a book increases by 1 day, then the number of books he/she has read is predicted to be approximately 2.02. PAGE 19IX. Direction: Begin with the set of ordered pairs in the START banner and work your way to reach for your STAR in the FINISH area by determining the slope of the first set of ordered pairs followed by finding the equation of the line and the y-intercept. You can use the following arrows to link the problem and solutions of the SEI maze (i.e. linking the correct (1) slope to the correct (2) equation of the line to the correct (3) y-intercept). arrow up arrow down right arrow left arrow START X y Equation X V Equation -2x - 7 1 5 of the y-intercept -3 15 of the m = - line 0 line m = -2 y = -2x + 5 b =-7 m =-5 y = -5x Equation X y Equation N X V y-intercept of the -1 6 m = 1 V = -2x +7 b = 7 of the -2 3 line 3 -2 line O 0 y = -2x + 7 b = 2/7 m = -1 b = 5/4 X y Equation Equation + lin + y-intercept 5 -x - 2 10 m = 1 of the of the y-intercept 15 20 line y = line b=-2 m = 2 y = -x +2 m = 7/5 b = 4/5 X V Equation X X V 2 4 of the y-intercept b =2 1/2 3/2 1 9 m =5 8 10 line 3 5 7 15 m = 2 y = x+5 b =2 m = 7/5 m = 1 Equation X V Equation of the y-intercept y = 2x + 1 3 12 of the m line 5 20 line FINISH PAGE 14depends on 8 2. During this public health crisis caused by coronavirus disease, the Pangasinan Provincial Board passed an ordinance making it mandatory to wear a face shield in the province. According to such ordinance, "Any person who fails to wear a face shield: a) if a public driver or public commuter while inside a public utility vehicle; and b) if an employee of both government and private offices while performing one's employment duties shall be subject to penalties". The information obtained are as follows: No. of offenses 1 2 3 Penalty /fine (in pesos] 1,000 2,500 5,000 Independent Variable (IV): Dependent Variable (IV): affects depends on 3. Maria Ophelia Louise intends to study about the profit of her company FAROAH clothing line and the average number of clothes sold in a month. She came up with the following data: Average number of clothes 400 600 800 1000 1200 sold per month Profit of the company (in 100 200 300 400 500 thousands) Independent Variable (IV): Dependent Variable (IV): affects depends on PAGE 815. What is the predicted value of the distance traveled if the speed of a biker is 5 kilometers per hour? A. 37 B. 39 C. 41 D. 43 XIV. Read and analyze the situation. Solve the following problems as required. According to United Nations Children's Fund (UNICEF, May 2020), hand washing with soap and water on a regular basis is important for disease prevention. To prevent the spread of infectious diseases like COVID-19, homes, schools, and healthcare facilities must have adequate water, sanitation, and hygiene services. In certain parts of the world, low levels of coverage of these basic services represent significant disparities between and within countries, making these populations vulnerable to the pandemic. Suppose Mayumi Kalusugan, a health worker in a certain municipality, wants to determine if frequent hand washing with soap and water leads to a lower exposure to any disease. He collected the percentage of barangay residents who washes hands after using the toilet and the percentage of people who get sick. The presumed data from 5 barangays in a particular municipality are shown below. Barangay Percentage of residents with Percentage of people who frequent hand washing after get sick (%) using the toilet (%) A 80 18 B 45 35 C 73 25 D 32 83 55 33 1. Determine the equation of the regression line that will predict the percentage of people who get sick given the percentage of residents with frequent hand washing after using toilet. Interpret its slope and yintercept. 2. Predict the percentage of people who get sick if the percentage of residents with frequent hand washing after using the toilet are as follows: a. 10 C. 87 b. 33 d. 90 PAGE 21D. The number of kilowatt hour consumed depends on the amount paid in the electricity bill. 12. Which of the following dependent variables can be possibly depend on the independent variable "number of hours spent in reading a book"? A. increasing the comprehension level B. increasing the anxiety level C. ability to solve mathematical problems D. ability to have victory in playing mobile legends 13. According to a study, there is a strong evidence that there is a real relationship between watching violent television and aggressive behavior. In the given statement, which of the following represents the dependent variable? A. watching violent television C. aggressive behavior B. real relationship D. strong evidence 14. Which of the following statements is NOT true about dependent variable? A. The dependent variable is entirely reliant to the independent variable. B. The dependent variable is referred to as response variable. C. The dependent variable affects the independent variable. D. The dependent variable is a predicted variable. 15. In a certain study, a researcher discovered that unemployment rate and number of civil disturbances were related to each other, In such statement, what can be considered as the independent variable? A. number of civil disturbances C. researcher's discovery B. unemployment rate D. employment rate VIII. Direction: Give at least five situations or statements that shows the relationship between two variables (i.e. independent and dependent variables). Underline the dependent variable once and the independent variable twice. Below is an example for your reference. PAGE 12Example: The amount of water bill to be paid depends on the water consumption. OR The water consumption affects the amount of water bill to be paid. 1. 2. 3. 4. 5. PAGE 13XIII. Let us determine how much you have learned from this module. Read and understand each item. Choose the letter of your answer and write it on your answer sheet. 1. Which of the following measures expresses the value of y at the point where the line crosses the y-axis? A. slope of the regression line C. regression line B. y-intercept of the regression line D. regression equation 2. What is the value of the independent variable for the predicted value of the dependent variable be equal to y-intercept of the regression line? A. -1 B. O C. 1 D. undefined 3. What is the sign of the slope of the regression line if an increase of one variable results to an increase of another variable? A. either - or + B. negative C. positive D. undefined 4. Which of the following is a TRUE statement? A. Using the scatter plot, the closest the points are to the line, the better the fit and prediction will be. B. The slope of the regression line is the value of the independent variable. C. The y-intercept and point where the line crosses the y-axis define the equation of the regression line. D. The regression line is the line of best fit that used to estimate the value of independent variable if the value of dependent variable is known. For items 5-8, refer to the scenario and table provided below. Engr. Roel was curious whether there is a linear association between Grade 11 learners' grades in the First Semester (i.e. First Quarter and Second Quarter Grades) and if he can predict a student's Second Quarter grade based on their First Quarter grade. The data are as follows: First Quarter (x) 80 89 89 90 98 87 85 Second Quarter (y) 87 92 90 91 97 88 84 5. What is the y-intercept of the data above? A. 30.65 B. 31.66 C. 30.66 D. 31.65 6. What is the slope of the given data? PAGE 18IV. Direction: Read and analyze the situation below. Identify what variables are under independent variable (IV) and dependent variable (DV). Afterwards, write the correct variable that affects or depends on the other variable. 1. According to Sanchez (2020) in her article - Social Media Use in the Philippines, the Philippines has one of the highest numbers of social network users among Southeast Asian countries, with a social media penetration rate of around 67 percent. Filipinos spent almost four hours on average on social media, with Facebook being the most popular site. Supposed a researcher studies the effects of social media usage in the performance tasks assessment results among Senior High School students. The data obtained are as follows: Hours of social 4 5 9 3. 10 11 8 2 media usage Performance task 89 88 86 95 84 82 86 93 assessment scores Independent Variable (IV): Dependent Variable (IV): affects PAGE 7Supposed that there is a linear relationship between the distance traveled and speed of bikers. The speed (x) is measured in kilometers per hour and the distance traveled (y) is measured in kilometers. It is discovered that the regression equation is given by formula y' = 5.10x + 15,60. 2 10. Which of the following is TRUE about the slope of the regression line? A. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled can be predicted to increase by 15.60 kilometers. B. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled can be predicted to increase by 5.10 kilometers. C. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled can be predicted to decrease by 15.60 kilometers. D. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled can be predicted to decrease by 5.10 kilometers. 11. Which of the following is TRUE about the y-intercept of the regression line? A. If the speed of a biker is 0, then the distance traveled is predicted to be approximately 15.60 kilometers. B. If the speed of a biker is 0, then the distance traveled is predicted to be approximately 5.10 kilometers. C. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled is predicted to be approximately 15.60 kilometers. D. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled is predicted to be approximately 5.10 kilometers. For items 12-15. Reading books has significant health benefits that can last a lifetime. It empirically transforms the mind according to an increasing body of evidence. Supposed a researcher explores the relationship between the number of days (x) Grade 11 learners spend reading a book and the number of books (y) they have read. It is found that the equation of the line of best fit is given by the formula y' = 1.01x + 2.02. 12. What is the approximate value of the amount of books read by a Grade 11 learner over the course of six days? A. 4 B. 6 C. 8 D. 10 13. Using the equation, how many days can a Grade 1 1 learner read 1 1 books? A. 3 B. 5 C. 7 D. 9 14. What interpretation can be made about the y-intercept of the regression line? PAGE 3II. Direction: Write U if the statement underscores univariate data, B if the statement involves bivariate data. Otherwise, write M for multivariate data. 1. A researcher wants to explore the relationship between Grade 11 learners' number of hours of answering self-directed learning material and the number of answer sheets used 2. A group of Grade 12 HUMSS learner-researchers investigates family arrangements, self-esteem and academic performance in Mathematics of Senior High School students in a certain school 3. A class adviser collected his/ her learners' information regarding their age based on their birthdate as of October 31 4. A group of Mathematics teachers examines the strength of association between the number of hours Grade 11 learners watched Netflix shows and their First Semester grades in General Mathematics PAGE 5X. Direction: Read and analyze the situations. Answer the questions as required. 1. The following table shows the semestral grades in General Mathematics and General Physics obtained from 10 Senior High School students selected at random from a certain school. General 89 94 78 70 Mathematics (x) General Physics (y) 90 95 85 97 82 83 80 89 93 85 a. Calculate and interpret the slope and y-intercept of the regression line. b. Find the equation of the regression line. What is the expected grade of a student in General Physics if a student receives a grade of 84 in General Mathematics? 2. Suppose a group of HUMSS learner-researchers wants to determine how learners' habitual non-presence in an online class in Reading and Writing subject affects their semestral grades. The sample data collected are given below: Habitual non-presence (x) 2 3 5 7 9 10 Semestral grade (y) 94 90 90 86 84 82 77 a. Determine and interpret the slope and y-intercept of the line of best fit. b. Find the equation of the regression line. Predict the semestral grade of a student in Reading and Writing if the habitual non-presence is 4 days. 3. A tandem of TVL-HE and ABM students agreed to make and sell yema with a twist in their Entrepreneurship Week. They opted to modify the PAGE 154. In the given scenario, what will be the independent variable on the investigation made by Cardo Penduko? A. illness of the 30 people B. number of working days lost C. weekly workout hours D. days lost and illness of the 30 people 5. Which of the following variables can be considered as the dependent variable? A. illness of the 30 people B. number of working days lost C. weekly workout hours D. days lost and illness of the 30 people For items 6-9, refer to the scenario and table provided below. Engr. Roel was curious whether there is a linear association between Grade 11 learners' grades in the First Semester (i.e. First Quarter and Second Quarter Grades) and if he can predict a student's Second Quarter grade based on his/her First Quarter grade. The data are as follows: First Quarter (x) 80 89 89 90 98 87 85 Second Quarter (y) |87 92 90 91 97 88 84 6. What is the slope of the given data? A. 0.65 B. 0.66 C. 0.67 D. 0.68 7. What is the y-intercept of the data above? A. 30.65 B. 30.66 C. 31.65 D. 31.66 8. What is the equation of the line of best fit or regression line? A. y' = 0.66x + 31.66 C. y' = 0.65x + 31.66 B. y' = 31.66x + 0.66 D. y' = 31.66x + 0.65 9. Given the obtained regression line equation, what is the estimated grade of a Grade 11 learner in Second Quarter if his First Quarter grade in Statistics is 93? A. 89 B. 91 C. 93 D. 95 For items 10-11, consider the following situation. PAGE 25. A study investigates the number of habitual non-presence of Senior High School students in an online class due to illness and their summative assessment scores at a particular school III. Read and analyze the situation given below. Mr. De Castro conducted a study that investigates the factors that may lead to a reduction in the number of habitual non-presence in an online class among Senior High School students due to illness at a certain school. He asked sample of 10 students and gathered information about their respective number of hours of exercise per week and the number of days they were absent due to illness. The following data are recorded in the table below. Hours of exercise 15 20 25 26 10 10 30 40 35 12 per week No. of days absent 5 4 3 3 8 g 2 2 5 Based on the scenario and data obtained, answer the following questions: 1. What are the variables under investigation in the study conducted by Mr. De Castro? 2. How will you classify the data obtained? Is it univariate or bivariate data? Give your reason. 3. Based on your answer in No. 1, what can you considered as independent variable and dependent variable? Why did you say so? 4. What can be said about the data gathered? PAGE 6per week. Assume that the following data are obtained from 5 MDL learners in a certain school. Respondent | No. of hours using No. of hours No. of modules social media sites watching TV completed in a programs week 1 10 7 4 2 5 8 7 3 8 5 6 9 4 4 5 3 5 8 Answer the following questions as required. 1. What is the equation of the regression line that will predict the number of modules completed in a week if the number of hours using social media sites is known? Interpret the result especially on the slope and y-intercept of the regression line. 2. Using the equation you obtained in No. 1, how many modules will be completed if a learner will be spending 6 hours using social media sites? 3. What is regression equation that will estimate the number of modules completed in a week if the number of hours watching TV programs is known? 4. Using the equation you obtained in No. 3, how many modules will be completed if a learner will be spending 3 hours watching TV programs? PAGE 17A. If the number of days a Grade 11 learner spends reading a book increases by 1 day, then the number of books he/she has read is predicted to be approximately 2.02. B. If the number of days a Grade 11 learner spends reading a book is 0, then the number of books he/she has read is predicted to be approximately 2.02. C. If the number of days a Grade 11 learner spends reading a book increases by 1 day, then the number of books he/she has read is predicted to be approximately 1.01. D. If the number of days a Grade 11 learner spends reading a book is 0, then the number of books he/she has read is predicted to be approximately 1.01. 15. Which of the following interpretations can be made about the slope of the regression line? A. If the number of days a Grade 11 learner spends reading a book increases by 1, then the number of books he/she has read can be predicted to increase by 1.01. B. If the number of days a Grade 11 learner spends reading a book increases by 1, then the number of books he/she has read can be predicted to decrease by 2.02. C. If the number of days a Grade 11 learner spends reading a book increases by 1, then the number of books he/she has read can be predicted to decrease by 1.01. D. If the number of days a Grade 11 learner spends reading a book increases by 1, then the number of books he/she has read can be predicted to increase by 2.02. PAGE 4B. illness of the 30 people C. number of working days lost D. weekly workout hours 6. Which of the following is a TRUE statement about independent variable? A. The independent variable depends on the dependent variable. B. The independent variable is entirely reliant on the dependent variable. C. The independent variable is referred to as response variable. D. The independent variable forecasts the value of the dependent variable. 7. Which of the following independent variables best possibly affects the dependent variable "summative assessment results" in Statistics and Probability? A. the number of days answering the self-directed learning material B. the number of hours studying Statistics and Probability C. the number of hours watching Netflix shows D. the number of ballpens used in answering the module Which of the following data encompassed two variables? A. univariate data C. multivariate data B. bivariate data D. raw data 9. Suppose Ms. Saver Mag-impok, a researcher, wants to determine the relationship between monthly income of working individuals and their cost of living. Which of the following can be her independent variable? A. cost of living C. monthly income B. working individuals D. researcher's interest 10. A scatter plot is a type of plot showing the relationship between two sets of data. In plotting the values of the two variables, the independent variables are plotted along what axis? A. x-axis C. point of origin B. y-axis D. both x- and y-axis 11. Which of the following is a TRUE statement with respect to the relationship between the independent and dependent variables? A. The rental fee affects the number of hours spent in a computer shop. B. The distance traveled affects the amount of fare when riding a jeepney. C. The number of shoes sold depends on the profit of the company. PAGE 11I. Direction: Read and understand each item. Choose the letter of the best answer and write it on a separate sheet of paper. 1. Which of the following are TRUE statements? I. The dependent variable is affected by the independent variable. HI. The independent variable is the variable in the regression that can be controlled. III. The values of the independent variable are plotted on or along the x-axis while the values of the dependent variable are plotted on or along the y-axis. A. I and II C. II and III B. I and III D. I, II and III 2. Juanito Pablito wants to investigate if there is a relationship between the number of hours studying Statistics and the summative assessment scores in the said subject. Which of the following can be his dependent variable? A. number of hours studying Statistics B. the relationship between the two variables C. summative assessment scores in Statistics D. the investigation made by Juanito Pablito 3. Which of the following variables serves as a predictor variable of the regression line? A. dependent variable C. constant variable B. independent variable D. intervening variable For items 4-5, consider the following situation. Cardo Penduko explores the factors that may contribute to a decrease in the amount of working days missed due to illness at a particular factory. He interviewed 30 people and reported their weekly workout hours as well as the number of days they missed from work due to illness. PAGE 1VII. 1 . Which of the following variables are considered to be predictor variables? A. dependent variables C. intervening variables B. independent variables D. response variables 2. Sir Ayban wants to investigate if there is a relationship between the number of hours studying Earth Science and the summative assessment scores among his students. Which of the following can be his independent variable? A. number of hours studying Earth Science B. the relationship between the two variables C. summative assessment scores in Earth Science D. the investigation made by Sir Ayban 3. Which of the following are TRUE statements? I. The independent variable is affected by the dependent variable. II. The independent variable is the variable in the regression that can be controlled. Ill. The values of the independent variable are plotted on or along the x-axis while the values of the dependent variable are plotted on or along the y- axis. A. I and II C. II and III B. I and III D. I, II and III For items 4-5, consider the following situation. Mr. Bidabes, a company owner, explores the factors that may contribute to a decrease in the amount of working days missed due to illness at a particular factory. He interviewed 30 people and reported their weekly workout hours as well as the number of days they missed from work due to illness. 4. In the given scenario, what will be the independent variable on the exploration made by Mr. Bidabes? A. days lost and illness of the 30 people B. illness of the 30 people C. number of working days lost D. weekly workout hours 5. Which of the following variables can be considered as the dependent variable? A. days lost and illness of the 30 people PAGE 10price of their yema every day for 5 days. This is for them to assess whether the price modifications made in selling their yema affect their earnings. The data obtained are as follows: Price per pack (x) 25 20 35 30 22 Number of packs sold (y) 35 40 25 30 38 a. Compute and interpret the slope and y-intercept of the line of best fit. b. Determine the equation of the regression line. Estimate the number of packs of yema to be sold if the price of yema is 15 pesos per pack. XI. This is amazing! You have reached this part of the module. To ensure you have a complete understanding on the concepts in finding the regression equation using the slope and y-intercept of the regression line, it is necessary that you complete each statement below. 1. The is the line of "best fit" that can be determined from bivariate data on the scatter diagram. 2. The line prediction equation is given in the form 3. If an increase in the value of the independent variable that results to a decrease in the value of the dependent variable, then the sign of the slope is 4. If an increase in the value of the independent variable that results to an increase in the value of the dependent variable, then the sign of the slope is 5. In finding the regression equation, we must determine the and of the regression line. 6. The y-intercept of the regression line is identical to the predicted value of the dependent variable y if the value of the independent variable x is XII. Suppose you have known that the time spent in using social media sites (e.g. Facebook) and watching TV programs affect the number of modules completed PAGE 1612. Which of the following interpretations can be made about the slope of the regression line? A. If the number of days a Grade 11 learner spends reading a book increases by 1, then the number of books he/she has read can be predicted to decrease by 1.01. B. If the number of days a Grade 11 learner spends reading a book increases by 1, then the number of books he/she has read can be predicted to increase by 2.02 C. If the number of days a Grade 11 learner spends reading a book increases by 1, then the number of books he/she has read can be predicted to decrease by 2.02. D. If the number of days a Grade 11 learner spends reading a book increases by 1, then the number of books he/she has read can be predicted to increase by 1.01. For items 13-15, consider the following situation. Supposed that there is a linear relationship between the distance traveled and speed of bikers. The speed (x) is measured in kilometers per hour and the distance traveled (y) is measured in kilometers. It is discovered that the regression line is y' = 5.10x + 15.60. 13. Which of the following is TRUE about the slope of the regression line? A. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled can be predicted to increase by 15.60 kilometers. B. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled can be predicted to increase by 5.10 kilometers. C. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled can be predicted to decrease by 15.60 kilometers. D. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled can be predicted to decrease by 5.10 kilometers. 14. Which of the following is TRUE about the y-intercept of the regression line? A. If the speed of a biker is 0, then the distance traveled is predicted to be approximately 15.60 kilometers. B. If the speed of a biker is 0, then the distance traveled is predicted to be approximately 5.10 kilometers. C. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled is predicted to be approximately 15.60 kilometers. D. If the speed of a biker increases by 1 kilometer per hour, then the distance traveled is predicted to be approximately 5.10 kilometers. PAGE 20V. 1. Bivariate data involves variables under investigation. 2. The aim of bivariate data often considers the relationship of the and variables. 3. The is entirely reliant on the independent variable. 4. Independent variables are sometimes referred to since it forecast the value of the dependent variable. 5. Dependent variables are sometimes termed as since they are the values that the predictor variables assume or predict. Direction: Write the possible independent variable that affects dependent variable or possible dependent variable that depends on the independent variable of the given situation. The first item is already given for your reference. Situation Independent Variable Dependent Variable Riding on a bus/jeep the distance traveled total amount of fare Online selling of preloved clothes Renting on a computer shop in your barangay Doing typing/encoding jobs Answering your selfdirected learning material in Statistics Paying electricity or water bill PAGE 9