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 400 metric tons of lemon imports. Is the prediction worthwhile? Lemon Imports 226 263 Crash Fatality Rate 16.1 16 351 15.8 498 15.6 545 15.2 Find the equation of the regression line ĝ=+ ( 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 400 metric tons of lemon imports is fatalities per 100,000 population. (Round to one decimal place as needed.) Is the prediction worthwhile? O A. Since common sense suggests there should not be much of a relationship between the two variables, the prediction does not make much sense. B. Since all of the requirements for finding the equation of the regression line are met, the prediction is worthwhile. O C. Since the sample size is small, the prediction is not appropriate. OD. Since there appears to be an outlier, the prediction is not appropriate. Click to select your answer(s).

Answer 1

leti lemon imports can metric tons) Crash fatality rate (per 100,000 peopeslanges YE we know that the fifted linear regression line is, + where, an is the estimate of inear offer to intercept the estimate of slope. Also we have, h = ssay and ä = ý - 6 ? SS u where, 55x4 = [Xi'-) Cli-y) 133x= [(x-7)? Here, n=5 Eri=1885 Eyi= 78.7 1 :3 = Iri 1883 376.6 , T = Eyi = 78:7 = 15.74 1899 Lasko? Fuzi (Yi-ý ) (xi-x) (xi-x2 22686.36 - 54.216 untroul 12904.95 og 14737.95 28358.55 Total 7933702 -29.536 -1.535 4.-15.995 -90-936 -193.22 Here, ssa = 79337.2 1 slay = -195.22 CS

ô ssxy ssat -193.22 79337.2 :6 = -0.002435 and a = 7.5 * = 15094-(-0.002435 X 395.6) 16.657 .. The equation of the regression line is, - | 16. 6S+ + (- 0.002435) x have to predict the crash fatality rate for now, we a year in which there are 400 metric tons of lemon import je we have predict when : X2400 9 = 16.657 - 0.002435 1400 = .15.7 per 100,000 people lation .: Anso lisof Fatalities per 100,000 .population. Is the prediction worthwhile ? Anso since common sense suggests there should not be much of a relationship between the two variables, the prediction odoes not make much sense. CSS