x Question 14 0/2 pts O 2 0 Details Score on last try: 0 of 2 pts. See Details for more. Submit and End You can retry this question below The equation of a straight line is defined by - 18x = - 28 + 2y Which of the following statements about the equation are true? Select all that apply. The point ( - 2, 86) lies on the line represented by the equation. O The values of the slope and y-intercept respectively are - 18 and - 28. The values of the slope and y-intercept respectively are - 9 and 14. The values of the slope and y-intercept respectively are 14 and - 9. The point (5, - 31) lies on the line represented by the equation. For each unit increase in x, y increases by 9 units.The data set provided below contains the speeds and corresponding stopping distances of cars. These measurements were recorded in the 1920's. Source: Ezekiel, M. [1930} Methods of Correlation Analysis. Wiley. I40 5 a} 15 20 25 so Semifinal!) {1 Click on the Data button shown below to display the data and copy and paste it into a statistical software package. Click the Data button a second time to hide the data. 25 35 1. Copy and paste the data into a statistical software package and determine the equation of the least squares line. Round your values for the slope and y- intercept to 2 decimal places. Distance=- x Speed 43.133 2. What is the meaning of the slope of the least squares line? 33' If speed increases by1 mile per hour, then stopping distance increases by 3.9233 feet. 0 If speed increase by 3.9233 miles per hour, then stopping distance increases by 1 foot. D If speed decreases by 13.1333 miles per hour, then stopping distrance increases by 1 foot. D If speed increases by 1 mile per hour, then stopping distance decreases 13.1333 feet. 3. Use the least squares line to predict the stopping distance for a car traveling at a rate of 13.4 miles per hour {round your answer to 1 decimal place]. O If speed increases by 1 mile per hour, then stopping distance increases by 3.9233 feet. Olf speed increase by 3.9233 miles per hour, then stopping distance increases by 1 foot. Olf speed decreases by 18.1838 miles per hour, then stopping distrance increases by 1 foot. Olf speed increases by 1 mile per hour, then stopping distance decreases 18.1838 feet. 3. Use the least squares line to predict the stopping distance for a car traveling at a rate of 10.4 miles per hour (round your answer to 1 decimal place). 22.6 4. What is the residual for the second car in the data set (round your answer to 1 decimal place)? 5. What percentage of the variability in stopping distance can be explained by speed? (Round your answer to 1 decimal place).Question 12 3.64/5 pts ) 2 0 Details Score on last try: 3.64 of 5 pts. See Details for more. > Next question You can retry this question below The weight of a car can influence the mileage that the car can obtain. A random sample of 19 cars was taken and the weight (in pounds) and mileage (in mpg) were recorded and are in the table below. X, weight Y, mileage 3500 31.3 5500 13.2 3000 32.2 4500 19.5 2500 40.9 3000 32.2 3000 31.4 4000 23.4 3500 28 3000 31.5 2250 38.9 3500 32.6 4500 172250 53.3 3000 31.4 3500 28 2750 46.9 3500 28 4000 23.6 a) The symbol and value of the correlation coefficient are as follows: Round final answer to 4 decimal places. 0.9038 X Interpret this value: . There is a strong |negative linear relation between weight and mileage for cars. b) The symbol and value of the coefficient of determination are as follows: Round final answer to 4 decimal places. 0.8189 Interpret this value: . About 81.89 x % of the |variation in mileage v can be explained by the linear model and weightRound final answer to 4 decimal places. -= Interpret this value: - There is a strong - I - I relation between weight and mileage for cars. b} The symbol and value of the coefficient of determination are as follows: Round final answer to 4 decimal places. -=- Interpret this value: - About 8139 x mone-l~*l explained by the linear model and weight c} Find the standard error of estimate. Round final answer to 4 decimal places. 4.0472 x Interpret this value: - This is the - I of the residuals. - Score on last try: 1 of 2 pts. See Details for more. Next question You can retry this question below A regression was run to determine if there is a relationship between hours of W watched per day;r [x] and number of situps a person can do {y}. E 1f2 pts {3- 2 G} Details The results of the regression were: 3} 2 be: + o b = 1.368 a; = 37.489 R2 = 0.831'i'44 a] Use this to predict the number of situps a person who watches 2 hours of TV can do [to 3 decimal places} 34353 J I b} What is the 1tialue of the correlation coefficient [to 3 decimal places} ? [1.912 x x Question 5 0/1 pt 0 1 0 Details Score on last try: 0 of 1 pts. See Details for more. > Next question You can retry this question below In a simple regression analysis, the correlation between the two variables (a and y) is strong and positive. This implies that: Select all that apply. As > decreases, y tends to increase. The slope and the correlation coefficient will be equal. O Increase in a causes y to increase and vice versa. O The slope of the regression line will be positive. As * increases, y tends to decrease. O As * decreases, y tends to decrease. O Decrease in a causes y to decrease. XE 2 pts G) Details - Score on last try: 0 of 2 pts. See Details for more. Next question In a studyr about holiday goods on sale, a researcher is interested in the relationship between number of units of an item purchased on sale and the amount spent in total after savings. a. The independent [explanatory] variable is: number of units purchased on sale the amount spent in total after savings the amount spent in total after savings number of units purchased on sale c. The correlation between the two variables will most likelyr be: none negative positive Ix Question 2 1.36/2 pts ) 2 0 Details Score on last try: 1.36 of 2 pts. See Details for more. Next question You can retry this question below Given the following bivariate data: 0.50 2.25 2.75 3.00 4.00 90 60 65 45 35 a) Plot each point in the graph below. 100 SO 60 40 20 2 3 4 5 Clear All Draw:The number of MMs of each color that were found in a case with 225? M&Ms is giver in the table below. Find the probabilityr that a randomly selected MEtM will be in the category "green". Give your answer rounded to three decimal places. A group of people were asked if they had run a red light in the last year. 469 responded "yes", and 419 responded "no". Find the probability that if a person is chosen at random, they have mm a red light in the last year. Give your answer as a fraction or decimal accurate to at least 3 decimal places In a brand recognition study, 7'32 consumers knew of Costco, and 2? did not. Use these results to estimate the probability that a randomly selected consumer will recognize Costco. Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "era" symbol. Check Answer Which of the following are not possible values of probability? Select all that apply: D 0.000 0.47"? DlE III 0.764 0.346 D654>