Question

BrandA BrandB BrandC 251.6 251.2 263.2 248.6 245.1 262.9 249.4 248 265 242 251.1 254.5 246.5...

BrandA BrandB BrandC
251.6 251.2 263.2
248.6 245.1 262.9
249.4 248 265
242 251.1 254.5
246.5 260.5 264.3
251.3 250 257
261.8 253.9 262.8
249 244.6 264.4
247.1 254.6 260.6
249.9 248.8 255.9

We can conduct a One-Way ANOVA to compare the true mean distances. However, your instructor wants to you analyze the data using multiple linear regression.

Write the estimated regression equation. Ensure that your regression coefficients are clearly defined and is reported in 3 decimal places.

Math   Statistics-And-Probability   
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Answer #1
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.303317
R Square 0.092001
Adjusted R Square -0.16743
Standard Error 5.470332
Observations 10
ANOVA
df SS MS F Significance F
Regression 2 21.22431 10.61215 0.354631 0.713343
Residual 7 209.4717 29.92453
Total 9 230.696
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept 142.8814 154.1062 0.927162 0.384696 -221.522 507.2847
BrandB 0.013442 0.385285 0.03489 0.973142 -0.89761 0.924497
BrandC 0.396336 0.471888 0.839895 0.428717 -0.7195 1.512174

estimated regression equation:

y^ = 142.881 + (0.013)Brand B + (0.396)Brand C

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