Sample Test 3 (multiple regression)

# Sample Test 3 (multiple regression) - Weekly Gross...

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96 5.0 1.5 90 2.0 2.0 95 4.0 1.5 92 2.5 2.5 95 3.0 3.3 94 3.5 2.3 94 2.5 4.2 94 3.0 2.5 Weekly Gross Revenue (\$1000s) Televison Advertising (\$1000s) Newspaper Advertising (\$1000s)

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y x1 x2 96 5.0 1.5 90 2.0 2.0 95 4.0 1.5 92 2.5 2.5 95 3.0 3.3 94 3.5 2.3 94 2.5 4.2 94 3.0 2.5
y x1 x2 96 5.0 1.5 90 2.0 2.0 95 4.0 1.5 92 2.5 2.5 95 3.0 3.3 94 3.5 2.3 94 2.5 4.2 94 3.0 2.5 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5 87 88 89 90 91 92 93 94 95 96 97 f(x) = 1.6x + 88.64 R² = 0.65 x1 Linear Regression for x1 x1 y 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4 87 88 89 90 91 92 93 94 95 96 97 f(x) = -0.04x + 93.86 R² = 0 x1 Linear Regression for x1 x2 y

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5.5 4.5
SUMMARY OUTPUT Regression Statistics Multiple R 0.81 R Square 0.65 Adjusted R Square 0.59 Standard Error 1.22 Observations 8 ANOVA df SS MS F Significance F Regression 1 16.64 16.64 11.27 0.02 Residual 6 8.86 1.48 Total 7 25.5 Coefficients Standard Error t Stat P-value Lower 95% Intercept 88.64 1.58 56.02 0 84.77 X Variable 1 1.6 0.48 3.36 0.02 0.43

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Upper 95% 92.51 2.77
SUMMARY OUTPUT Regression Statistics Multiple R 0.96 R Square 0.92 Adjusted R Square 0.89 Standard Error 0.64 Observations 8 ANOVA df SS MS F Significance F Regression 2 23.44 11.72 28.38 0 Residual 5 2.06 0.41 Total 7 25.5 Coefficients Standard Error t Stat P-value Lower 95% Intercept 83.23 1.57 52.88 0 79.18 x1 2.29 0.3 7.53 0 1.51 x2 1.3 0.32 4.06 0.01 0.48

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Upper 95% Lower 95.0% Upper 95.0% 87.28 79.18 87.28 3.07 1.51 3.07 2.13 0.48 2.13
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