Suppose you are given the following multiple regression output: What is the pred

Question

Suppose you are given the following multiple regression output:

What is the predicted value of y if x1 = 18 and x2 = 3.

a) 12.4002

b) 3.0871

c) 14.1017

d) 17.9942

SUMMARY OUTPUT Regression Statistics MultipleR R Square Adjusted R Square Standard Error Observations 0.974176 0.949018 0.936273 1.975746 ANOVA Significance F 0.000007 MS Regression Residual Total 2 581.3169 290.6584 74.45961 8 31.22857 3.903572 10 612.5455 Coefficientandard Err tstat P-value Lower 95% Upper 95% Intercept x1 x2 1.7228 1.424445 1.209428 0.261023-1.56201175 5.007539868 0.5524 0.218383 2.52949 0.035283 0.048805526 0.8119 0.719102 1.129034 0.291599 -0.846361987 2.470142854 1.055988

Explanation / Answer

as linear equation from above output : y=1.7228+0.5524 x1+0.8119*x2

predicted value of y =1.7228+0.5524*18+0.8119*3=14.1017

therefore option C is correct

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