For y = number of times used public transportation in previous week and x = number of cars in family (which takes value 0, 1, or 2 for the given sample), explain the difference between conducting a...

For y = number of times used public transportation in previous week and x = number of cars in family (which takes value 0, 1, or 2 for the given sample), explain the difference between conducting a test of independence of the variables using the ANOVA Ftest for comparing three means and using a regression t test for the coefficient of the numberofcarsin an ordinary regression model with a linear effect for number of cars. Give an example ofthree population means for which the regression test would be less appropriate than the ANOVA test. {Hint: What docs the regression linear model assume that the ANOVA F test docs not?)