temon and Car Crashes- Listed below are annual data for various years. The data
ID: 3313213 • Letter: T
Question
temon and Car Crashes- Listed below are annual data for various years. The data are weights (metric tons) of lemons imported from Mexico and U.s. car crash fatality rates per 100,000 population Lemon imports 230 ,265 |358 Race 15.9 157 154 15.3 n the problem l ästed above, you are asked to answer the following questions ) Does the value of the Correlation Coefficient r suggest that there is a sufficient evidence to support the claim that there is a linear correlation between weights of lemon from Mexlco and U.5. car fatality rates? b) What is the Regression Equation? Whst s the indicated predicted value The value of the correlation Coefficient r is - What does the value of r sugpest? Answer a) b) The Regression Equation is Answer c) The best predicted crash fatality for a year in which there are 500 metric tons of lemon imports is AnswerExplanation / Answer
We have regression output from excel as :
a) The correlation cooefficient = 0.96
This value is very close to 1. This suggests that there is strong correlation between lemon imports from maxico and U.S. car fatality rate.
b) We have intercept = a = 16.491
and slope = b = -0.003
Hence th regression equation is given by
y = a + b x
y = 16.491 - 0.003 x
c) Here we have x = 500
y = 16.491 - 0.003 * 500
= 14.99
The best predicted crash fatality for a year inwhich there are 500 metric tons of lemon imports is 14.99.
SUMMARY OUTPUT Regression Statistics Multiple R 0.958963 R Square 0.919609 Adjusted R Square 0.892812 Standard Error 0.125951 Observations 5 ANOVA df SS MS F Significance F Regression 1 0.544409 0.544409 34.31777 0.009918 Residual 3 0.047591 0.015864 Total 4 0.592 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 16.49091 0.188028 87.70435 3.27E-06 15.89252 17.0893 Lemon imports -0.00282 0.000481 -5.85814 0.009918 -0.00435 -0.00129Related Questions
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