Question 9
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 |
3348.312 |
|
||||
Residual |
8 |
9529.811 |
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||||
Total |
9 |
12878.123 |
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||||
|
|||||||
|
Coefficients |
Standard Error |
t Stat |
P-value |
|||
Intercept |
247.56 |
83.280 |
1.689 |
0.030 |
|
||
X |
148.62 |
38.312 |
1.283 |
0.075 |
|
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. Compute the value of the coefficient of determination and interpret its meaning. Be very specific.
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