# Write Regression Equation, State Degrees of Freedom, Compute

Instructions:

? Write the regression equation

? State degrees of freedom and compute critical value

? Conclusion about slope

? Interpret confidence limits for slope

? Verify that F = square of t

? Describe fit of regression

It might be expected that baseball teams with better batting averages also score more homeruns. Let's examine that thought. The regression table below, produced by Excel's Analysis ToolPak, shows the result of a regression analysis using Major League Baseball data from the 2007 season. The independent variable (X) is team batting average and the dependent variable (Y) is homeruns per game.

Regression Statistics

Multiple R 0.0427

R Square 0.0018

Adjusted R Square -0.0338

Standard Error 0.1903

Observations 30

ANOVA

df SS MS F Significance F

Regression 1 0.0019 0.002 0.0511 0.8228

Residual 28 1.0145 0.036

Total 29 1.0164

Coefficients Standard Error t Stat P-value Lower 95% Upper 95%

Intercept 0.8337 0.8227 1.0134 0.3196 -0.8515 2.5189

X 0.6936 3.0678 0.2261 0.8228 -5.5905 6.9777

a) Write the fitted regression equation

b) State the degrees of freedom for a two-tailed test for zero slope, and use the TINV function to find the critical value at α = .05.

c) Conclusion about slope

d) Interpret the 95% confidence limits for slope

e) Verify that F= square of t

f) Describe the fit of this regression

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#### Solution Summary

A Complete, Neat and Step-by-step Solution is provided in the attached file.