17:04 El 4 (D Quarter: 1 Week: MELCs: 1. lIustrates the nature of bivariate data [M111125P-lVg-2); 2. Identifies the independent and dependent variables [M11l'125P-IVl-1); 3. Constmcts a smtter plot (M11M25P-lVg-3); and 4. Describes shape (form), trend (direction), and variation (strength) based on a scatter plot (M11l125P-IVg-4). > Title of TextbcoldLM to Study: Statistics and Probability > Chapter: __ Pages: 22!);224 Topic: rrelation and R ression Ana sis > Objectives: 1. To identify the independent and dependent variables in a bivariate data. To construct a scatter plot. To described shape {form}, trend (direction). and variation {strength} based on a scatter plot. 9'.\" Blvarlate data contains two sets of related data. Bivariate data are two values that are related and we are using these two values to make comparisons. The two variables are independent and dependent. If the two variables are not related or independent from each other. then it does not show a bivariate data. A dependent variable in an experiment is the variable that is affected by the independent variable or outside factors. Example: An iced candy store in Baranggay Katangawan keeps track on the amount of iced candy they sell versus the temperature on that day. What are the independent and dependent variables? Temperature \"C Iced Candy Sales 1420 F 250 16.40 P 325 11.90 F 332 152 F 406 18.50 'F' 522 Solution: The two variables are iced candy sales and temperature lasted for 5 days Independent Vatiable: Temperature Dependent Variable: Iced candy sales Bivariate data is mostly displayed using a scatter plot. It is a plot on a grid paper 01 y (y axis) against 1: (x axis) and indicates the behavior of the given data sets. Scatter plot is one of the graphs that give us a much clearer picture of a possible relationship between the variables. GSCClDLRMS-ESSLM, VI. 0200, Effective April21', 202 1 600 500 400 300 200 100 y values l] 2 4 E B 10 12 14 16 18 20 x values The above scatter plot illustrates that the values seem to group around a straight-line i.e.. it shows that there is a possible linear relationship between temperature and the iced candy sales. The graph shows a strong positive relationship since the value of one variable increases as the other value also increases. The line that you see in the graph is called \"line of best t\" or regression line (trend line). It is line on a graph showing the general direction that a group of points seem to lollow. The line of best fit or trend line aims to answer the question whether these two variables correlate. It can be used to help you determine trends within the data sets. 17:04 0.78 KB/S Co Ill (41 Let Us Try Activity 1: "Trending or Not" Identify whether each table is an example of a bivariate data or not. If it is a bivariate data, determine its independent and dependent variable. Quiz Average Frequency Time taken (hrs.) Cost of Job (P 70 12 2. 5 420 80 15 500 90 6 8 650 Activity 2: "Related or Not" For each of the scatterplots below, determine whether a positive, negative or no relationship exists between the variables. If a relationship exists, identify its strength whether weak, moderate, or strong. 2. 3. 1. 100 14 12 ks at school (%) 10- count (g/dl) Haemoglobin computer per week Hours spent using a 20 2 - ol 20 40 60 80 4 8 12 16 2 4 6 8 10 12 14 16 Age Hours spent Weekly hours of study cooking per week GSC-CID-LRMS-ESSLM, v.r. 02.00, Effective April 21, 2021 Let Us Do Activity 3: "Did I gain?" Mary sells business shirts in a department store. She always records the number of different styles of shirt sold during the day. The table below shows her sales over one week. Price (P) No. of Shirt Sold 120 21 150 22 a) Determine the independent and dependent 180 18 variable. 200 19 b) Construct the scatter plot of the data. 260 17 c) Describe the direction and strength of the 270 17 scatter plot. 300 15 Let Us Apply E O17:04 3.00 KB/S Ce Ill (41 Let Us Apply Activity 4: "Do the BMI" You wanted to help your adviser to determine the direction and strength of relationship between the height in centimeter (x) and weight in kilograms (y) of your classmates. You surveyed 10 students and gathered the data below. Height (x) 145 145 150 160 160 160 163 163 165 175 Weight (y) 38 39 45 46 48 52 57 58 52 58 GSC-CID-LRMS-ESSLM, v.r. 02.00, Effective April 21, 2021 Rubrics 10 5 e student shows The student shows The student shows The student shows complete understanding of the some understanding of limited to no understanding of the problem; identifies, the problem; identifies, understanding of the problem; identifies, relates, and uses all relates, and uses all problem; fails to relates, and uses all important components important components identify, relate, or important components of the problem; of the problem; use important of the problem; performs computations performs computations components of the performs computations that are generally that contain major problem; uses an completely and correct but may take computational errors; inappropriate correctly but may take some minor error; and and shows some strategy for solving one minor error; and uses an appropriate evidence of a strategy the problem; and uses an appropriate strategy that should to solve a problem attempts an answer strategy that should lead to a reasonable lead to a correct solution solution > > References Statistics and Probability; pp. 220-224 http://alsiraatmathsandscience.weebly.com/uploads/1/0/4/6/10467239/chapter_13.pdf http://www.intellspot.com/bivariate-data https://www.hawkermaths.com/uploads/7/7/3/8/77386549/bivariate_data_chap_2.pdf SSLM Development Team Writer: Aljon D. 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