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In: Statistics and Probability

The multiple regression model is estimated in Excel and part of the output is provided below....

The multiple regression model is estimated in Excel and part of the output is provided below.

ANOVA
df SS MS F Significance F
Regression 3 3.39E+08 1.13E+08 1.327997 0.27152899
Residual 76 6.46E+09 85052151
Total 79 6.8E+09

Question 8 (1 point)

Use the information from the ANOVA table to complete the following statement.

To test the overall significance of this estimated regression model, the hypotheses would state

there is    between attendance and the group of all explanatory variables, jointly.

there is    between attendance and the group of all explanatory variables, jointly.

The test statistic is calculated as

   /    =   ,

which follows an F distribution with    numerator and    denominator degrees of freedom. Based on the p-value of 0.272, we    the null hypothesis at a 5% level of significance, meaning that the relationship between attendance and the collective group of explanatory variables    statistically significant.

Word Bank:

85052151is not1.33no significant relationship3.39E+081.13E+0836.46E+09reject767980a significant relationshipfail to rejectis

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Solutions

Expert Solution

ANOVA

df

SS

MS

F

Significance F

Regression

3

3.39E+08

1.13E+08

1.327997

0.27152899

Residual

76

6.46E+09

85052151

Total

79

6.8E+09

Question: To test the overall significance of this estimated regression model, the hypotheses would state

Answer:

H0: there is no significant relationship between attendance and the group of all explanatory variables, jointly.

H1: there is significant relationship between attendance and the group of all explanatory variables, jointly.

The test statistic is calculated as

F   = 1.327997,

which follows an F distribution with 3 numerator and 76 denominator degrees of freedom. Based on the p-value of 0.272, we accept the null hypothesis at a 5% level of significance, meaning that the relationship between attendance and the collective group of explanatory variables is not statistically significant.

orchestra answered 2 years ago
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