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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

  1. What is the estimated regression equation that relates y to x?
  2. Is the regression relationship significant? Use a p-value and alpha = 0.05.
  3. What is the estimated value of y if x = 12?
  4. 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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