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Shown below is a portion of an Excel output for a regression analysis relating Y (dependent variable) and X (independent variable). ANOVA df SS Regression
Shown below is a portion of an Excel output for a regression analysis relating Y (dependent variable) and X (independent variable).
ANOVA | ||||
df | SS | |||
Regression | 1 | 24.011 | ||
Residual | 8 | 67.989 | ||
Coefficients | Standard Error | t Stat | P-value | |
Intercept | 11.065 | 2.043 | 5.415 | 0.001 |
x | -0.511 | 0.304 | -1.681 | 0.131 |
- What is the estimated regression equation that relates y to x?
- Is the regression relationship significant? Use a p-value and alpha = 0.05.
- What is the estimated value of y if x = 12?
- Interpret the meaning of the value of the coefficient of determination if it is 0.26 in this case. Be very specific.
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