A multiple regression analysis produced the following tables. SUMMARY OUTPUT Reg

Question

A multiple regression analysis produced the following tables. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Squa Standard Error Observations 0.978724022 0.957900711 0.952287472 67.67055418 18 ANOVA df MS Significance F Regression Residual Total 1562918.941 781459.5 170.6503 4.80907E-11 15 17 68689.55855 4579.304 1631608.5 Intercept X1 X2 Coefficients Standard Errort Stat P-value 1959.709718 0.469657287 2.163344882 306.4905312 6.39403 1.21E-05 0.264557168 -1.775260.096144 0.278361425 -7.77171 1.23E-06 For x1 360 andx2- 220, the predicted value of y is 1077.58 1959.71 1314.70 2635.19

Explanation / Answer

From given output, regression equation is,

y = 1959.709718 - 0.469657287 x1 - 2.163344882 x2

We want to predict value of y, for x1 = 360 and x2 = 220

y = 1959.709718 - ( 0.469657287 * 360) - (2.163344882 * 220)

y = 1314.6972

y = 1314.70

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