C.Perform the regression analysis to determine of the coefficients of a straight line. Interpret theslope.d.Perform the hypothesis test to determine if the slope is significantly differently from zero at5% significance level

The following data set is the fuel consumption data set (mtcars) obtained from the R software. Consider the mpg [Miles/(US) gallon] and wt [Weight (1000 lbs)] variables. wt mpg 2.62 21 2.875 21 2.32 22.8 3.215 21.4 3.44 18.7 3.46 18.1 3.57 14.3 3.19 24.4 3.15 22.8 3.44 19.2 3.44 17.8 4.07 16.4 3.73 17.3 3.78 15.2 5.25 10.4 5.424 10.4 5.345 14.7 2.2 32.4 1.615 30.4 1.835 33.9 2.465 21.5 3.52 15.5 3.435 15.2 3.84 13.3 3.845 19.2 1.935 27.3 2.14 26 1.513 30.4 3.17 15.8 2.77 19.7 3.57 15 2.78 21.4 a. Calculate the correlation coefficient of mpg and wt and describe the strength of this relationship. b. Calculate and interpret the Coefficient of Determination, i.e., R2