Quiz: Ch 4 Quiz: Least Squares Regression Question 6 of 10 This quiz: 10 point(s) possible This question: 1 point(s) possible Submit quiz The accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a car and its miles per gallon in the city is r= - 0.992. The least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable is y = - 0.0073x + 45.2243. Complete parts (a) and (b) below. Click the icon to view the data table. Data table (a) What proportion of the variability in miles per gallon is explained by the relation between weight of the car and miles per gallon? Full data set The proportion of the variability in miles per gallon explained by the relation between weight of the car and miles per gallon is %. (Round to one decimal place as needed.) Weight Miles per Weight Miles per Car (pounds), x Gallon, y Car (pounds), x Gallon, y (b) Interpret the coefficient of determination. Car 1 3,765 Car 7 2,605 Car 2 Car 8 % of the variance in by the linear model. 3,984 3,772 3,530 3,310 BANK Car 3 Car 9 (Round to one decimal place as iceded.) Car 4 3,175 Car 10 2,991 Car 5 2,580 Car 11 2,752 Car 6 3,730 Print Done