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= - 0.972. The least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable is y = - 0.0067x + 43.2024. Complete parts (a) and (b) below. Click the icon to view the 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? 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.) (b) Interpret the coefficient of determination. - X % of the variance in by the linear model. Data Table (Round to one decimal place as needed. ) Full data set Weight Miles per Weight Miles per Car (pounds), x Gallon, y Car (pounds), x Gallon, y Car 1 3,765 Car 7 2,605 Car 2 3,984 Car 8 3,772 Car 3 3.530 Car 9 3,310 Car 4 3.175 Car 10 2,991 Car 5 2,580 Car 11 2,752 Car 6 3,730 Print Done Time Remaining: 01:13:53 Next Search or type URL esc O delet CO 28 LO # m ON O 3 tab I LL