Question

# Find the regression​ equation, letting the first variable be the predictor​ (x) variable. Using the listed​...

Find the regression​ equation, letting the first variable be the predictor​ (x) variable. Using the listed​ lemon/crash data, where lemon imports are in metric tons and the fatality rates are per​ 100,000 people, find the best predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction​ worthwhile? Lemon Imports 226 266 364 469 544 Crash Fatality Rate 15.9 15.7 15.4 15.3 14.8

Ans:

 x y xy x^2 y^2 1 226 15.9 3593.4 51076 252.81 2 266 15.7 4176.2 70756 246.49 3 364 15.4 5605.6 132496 237.16 4 469 15.3 7175.7 219961 234.09 5 544 14.8 8051.2 295936 219.04 Total 1869 77.1 28602.1 770225 1189.59

slope,b=(5*28602.1-1869*77.1)/(5*770225-1869^2)=-0.00304

y-intercept,a=(77.1-(-0.00304)*1869)/5=16.558

Regression eqn:

y'=-0.00304x+16.558

when x=425

y'=-0.00304*425+16.558

y'=15.27

Yes,as x=425 is within the range of sample x values.