1) In a comprehensive road test on all new car models, one variable measured is the time it takes a car to accelerate from 0 to 60 miles per hour. To model acceleration time, a regression analysis is conducted on a random sample of 129 new cars. Given: R^2= 0.6960 Approximately what percentage of the sample variation in acceleration time can be explained by the simple linear model? (Points : 1) 8% -17% 0% 70%2)The coefficient of correlation between x and y is r = 0.59. Calculate the coefficient of determination R^2

Answer:1) 70%2) 34,81%Step-by-step explanation:Hello!1)The coefficient of determination R² is the percentage of the variability of the dependent variable (Yi) that is explained by the independent variable (Xi) under the simple linear model.So your coefficient is R²= 0.6960 ≅ 0.7070% of the sample variation in acceleration time is explained by the simple linear model.2)There is a mathematical coincidence between the coefficient of determination and the correlation coefficient (Person's r) if the correlation coefficient is squared, the coefficient of determination is obtained.(r)²=R²R²=(0.59)²= 0.3481The coefficient of determination between Y and X is 34,81%.I hope you have a SUPER day!