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Mathematics, 06.04.2020 22:19 jkortis15

MINITAB reports the results below for the multiple regression of y = crime
rate on x1 = median income (in thousands of dollars) and x2 = urbanization.

Results of regression analysis
Predictor Coef SE Coef T P
Constant 39. 97 16. 35 2 .44 0.017
income −0.7906 0.8049 −0.98 0.330
urbanization 0.6418 0.1110 5.78 0.000

Correlations: crime, income, urbanization

crime urbanization
urbanization 0.677
income 0.434 0.731

(A) Report the prediction equations relating crime rate to income at urbanization levels of (i) 0 and (ii) 100. Interpret
(B) For the bivariate model relating y = crime rate to x =income, MINITAB reports:
crime = -11.6 + 2.61 income
Interpret the effect of income, according to the sign of its slope.

a) As income increases, the predicted amount of crime increases.
b) As income increases, the predicted amount of crime decreases.

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rate on x1 = median...
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