Given are five observations for two variables, x andy. 12 35 1 The value in the

Question

Given are five observations for two variables, x andy. 12 35 1 The value in the numerator of the formula to compute the slope coefficient b is: 42 38 2 The value in the denominator of the formula to compute the slope coefficient bis 12 14 3 The value of the intercept coefficient b. is: 2.8 3.2 3.6 4.0 4 The predicted value ofy when x 8 is: 22.9 22.5 22.0 5 The prediction emor when x 8 is, -4.0 -4.5 -4.9 6 The sum of squared errors (SSE) is, 250.0 252 255.6 25 8.4 7 The standard error of estimate, se e, for the model is: 230 8.584 7.983 7.425 The sum of squares total (SST is, 261.0 273.7 449.2 9 The sum of squares regression (SSR) is 193.6 191.8 188.2 10 The fraction of variations in y explained by x is 0.4072 0.43 0.4606 4947

Explanation / Answer

The MINITAB Output:

Regression Analysis: Y versus X

The regression equation is
Y = - 13.2 + 4.40 X

Predictor Coef SE Coef T P
Constant -13.20 20.85 -0.63 0.572
X 4.400 2.919 1.51 0.229

S = 9.23038 R-Sq = 43.1% R-Sq(adj) = 24.1%

Analysis of Variance

Source DF SS MS F P
Regression 1 193.60 193.60 2.27 0.229
Residual Error 3 255.60 85.20
Total 4 449.20

1. correct Answer: Option (a) 44

2. correct Answer: Option (a) 10

3.  correct Answer: Option (B) -13.2

4. Correct Answer: Option (D) 22

The regression equation is
Y = - 13.2 + 4.40 (8) = 22

5.  Correct Answer: Option (A) 18 - 22 = -4

6. Correct Answer: Option (C) 255.60

7. Correct Answer: Option (A) 9.230

8. Correct Answer: Option (D) 449.20

9. Correct Answer: Option (A)  193.60

10. Correct Answer: Option (B) 0.431

11. Correct Answer: Option (D) 2.919

12. Correct Answer: Option (C) 1.51

Regression Analysis: Y versus X

The regression equation is
Y = - 13.2 + 4.40 X

Predictor Coef SE Coef T P
Constant -13.20 20.85 -0.63 0.572
X 4.400 2.919 1.51 0.229

S = 9.23038 R-Sq = 43.1% R-Sq(adj) = 24.1%

Analysis of Variance

Source DF SS MS F P
Regression 1 193.60 193.60 2.27 0.229
Residual Error 3 255.60 85.20
Total 4 449.20

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