Question

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

1) Use simple regression output from Table 1. a= __________. 1)

Table 1:   

Raw Data

X Y

4 2

3 1

2 3

9 12

8 8

10 8

2 3

7 6

0 3

5 2

Summary Output

Regression Statistics

Multiple R 0.81

R Square a

Adjusted R Square 0.61

Standard b

Observations   

ANOVA

df SS MS f Significate f

Regression   74.21 e   15.07 0.005  

Residual c d 4.92

Total 113.6

Coefficients Standard Error t Stat P-Value Lower 95% Upper 95%

Intercept 0.54 1.30 0.41 0.692 -2.47 3.54

X 0.85 0.22 3.88 0.005 0.35 1.36

2) Use Table 2: b = __________. 2)

3) Use Table 2: c = __________. 3)

4) Use Table 2: d = __________. 4)

5) Use Table 2: e = __________. 5)

Answer 1

1) R square (R²) equals 0.6532. It means that the predictors (X_i) explain 65.3% of the variance of Y.
Adjusted R square equals 0.6099.

R-square = 0.6532 (a)

2) Standard = 0.8082

Source	DF	Sum of Squares	Mean Square	F Statistic	P-value
Regression (between ŷiand yi)	1	74.21	74.21(e)	15.0694	0.004662
Residual (between yiand ŷi)	8 (c)	39.3941(d)	4.9243
Total(between yiand yi)	9	113.6000	12.6222

3) c = 8

4) d = 39.3941

5) e = 74.21