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 450 metric tons of lemon imports. Is the prediction​ worthwhile?

Lemon Imports 231    268    350 461    550
Crash Fatality Rate    15.9    15.6    15.2 15.3    15

Find the equation of the regression line.

y =_______+_______x (Round the constant three decimal places as needed. Round the coefficient to six decimal places as​ needed.)
The best predicted crash fatality rate for a year in which there are 450 metric tons of lemon imports is ______fatalities per​ 100,000 population.
​(Round to one decimal place as​ needed.)

Answer 1

sr	x	y	(x-xbar)^2	(y-ybar)^2	(x-xbar)*(y-ybar)
1	231	15.9	19881	0.25	-70.5
2	268	15.6	10816	0.04	-20.8
3	350	15.2	484	0.04	4.4
4	461	15.3	7921	0.01	-8.9
5	550	15	31684	0.16	-71.2
sum	1860	77	70786	0.5	-167
mean	372	15.4	SXX	SYY	Sxy
	slope=sxy/sxx	-0.002359224		-0.1226796
	intercept=ybar-(slope*xbar)	16.27763117		16.154952

equation of the regression line

Y^ = 16.278 - 0.002359 *x

put x = 450 in above equation

Y^ = 16.278 - 0.002359 *450

y^=15.2

The best predicted crash fatality rate for a year in which there are 450 metric tons of lemon imports is 15.2 fatalities per​ 100,000 population