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	228	263	350	482	525
Crash Fatality Rate	15.9	15.7	15.5	15.3	14.8

A. Find the equation of the regression line.

^y=_+(_)x

B. The best predicted crash fatality rate for a year in which there are 425 metric tones of lemon imports is ___ fatalities per 100,000 population.

C. Is the prediction worthwhile?

-a. Since the sample size is​ small, the prediction is not appropriate.

-b. Since common sense suggests there should not be much of a relationship between the two​variables, the prediction does not make much sense.

-c. Since all of the requirements for finding the equation of the regression line are​ met, the prediction is worthwhile.

Answer 1

a)

frm above line equation: Yhat=16.568+(-0.003)*x

b)

predicted crash fatality =16.568+(-0.003)*425=15.29 ( please try 15.27 if this comes wrong due to rounding error)

c)

b. Since common sense suggests there should not be much of a relationship between the two​variables, the prediction does not make much sense.