Below is the output from a simple linear regression equation

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1.         Below is the output from a simple linear regression equation analysis of this year’s NCAA men’s basketball tournament (last March).  It is an attempt to predict the score that the winning team has based on the number of victories that it had prior to the game for which the score was recorded. (Several columns in the last section have been eliminated for ease.

SUMMARY OUTPUT

Regression Statistics

Multiple R

0.154225

R Square

0.023785

Adjusted R

0.007515

Standard Error

9.8585

Observations

Left blank intentionally

ANOVA

df

SS

MS

F

Significant F

Regression

1

142.08

142.08

1.462

0.231

Residual

60

5831.40

97.19

Total

61

5973.48

Coefficients

Standard Error

t-stat

p-value

Lower 95%

Upper 95%

Intercept

86.70

10.97

7.90

7.26E-11

64.75

108.65

Wins

-0.488

0.404

-1.21

0.231

-1.30

0.32

            a.         (6)        What is the estimated regression equation?

            b.         (5)        Is the regression equation statistically significant?  How do you know?

            c.         (4)        How many observations are there in this sample?

            d.         (5)        If the team had won 30 games, what would your estimate of their score be?

e.         (5)        How much of the variation in the dependent variable is “explained” by the independent variable?