Question

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

Answer 1

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.