
Explanation:
The coefficient of determination () is calculated as: Total Sum of Squares = Regression SS + Residual SS = 35.4 + 14.6 = 50.0
In a simple linear regression, the correlation coefficient () is the square root of . Its sign is the same as the sign of the slope coefficient. Since the slope is positive (1.2), the correlation coefficient is positive.
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Q.89 The result of a two-variable regression analysis produces the following data:
| Coefficient | Degrees of freedom | Sum of squares | |
|---|---|---|---|
| Constant | 2.1 | ||
| Slope | 1.2 | ||
| Regression | 1 | 35.4 | |
| Residual error | 8 | 14.6 |
What is the correlation coefficient of the two variables?
A
0.841
B
0.708
C
0.588
D
0.767
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