Question

Find the multiple regression equation for the data given below. x1: -3, -2, -1, 2 ,3...

Find the multiple regression equation for the data given below.

x1: -3, -2, -1, 2 ,3

x2: -4, 1, -1, -1, 2

y: 1, -9, 1, 13, 8

The equation is y^= _____+ ______ x1 + _____ x2.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

For the given data using Regression in Excel we get output as

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.999565338
R Square 0.999130865
Adjusted R Square 0.998261731
Standard Error 0.346825963
Observations 5
ANOVA
df SS MS F Significance F
Regression 2 276.5594235 138.2797 1149.57 0.000869135
Residual 2 0.240576497 0.120288
Total 4 276.8
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 1.890243902 0.162495346 11.6326 0.007309 1.191082859 2.589404946
x1 4.028824834 0.08407101 47.92169 0.000435 3.667096472 4.390553196
x2 -2.859201774 0.094524793 -30.2482 0.001091 -3.26590913 -2.452494417

So from the above output

The equation is  y^= (1.8902 ) + ( 4.0288 ) x1 + ( - 2.8592 ) x2

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