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Shown below is a portion of an Excel output for regression analysis relating Y (dependent variable) and X (independent variable).
ANOVA / df / SS
Regression 1 / 2478.205
Residual 8 / 12036.195
Total 9 / 14514.400
Coefficients / Standard Error / t Stat / P-value
Intercept 140.68 / 83.280 / 1.689 / 0.130
X 49.17/ 38.312/ 1.283 / 0.235
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 = 3.5?
4. Interpret the meaning of the value of the coefficient of determination if it is 0.17 in this case. Be very specific?
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