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  1. mathematics
  2. statistics
  3. summary output regression

SUMMARY OUTPUT Regression Statistics Multiple R 0.195389 R Square 0.038177 Adjusted R Square 0.037333 Standard Error 13.69067 Observations 1142 ANOVA df SS MS F Significance F Regression 1 8481.255 8481.255 45.2492 2.74E-11 Residual 1140 213675.2 187.4344 Total 1141 222156.4 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 40.19631 0.596741 67.35967 0 39.02547 41.36714 39.02547 41.36714 X...

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Verified Solution

Question

Statistics

SUMMARY OUTPUT

Regression Statistics

Multiple R

0.195389

R Square

0.038177

Adjusted R Square

0.037333

Standard Error

13.69067

Observations

1142

ANOVA

df

SS

MS

F

Significance F

Regression

1

8481.255

8481.255

45.2492

2.74E-11

Residual

1140

213675.2

187.4344

Total

1141

222156.4

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Lower 95.0%

Upper 95.0%

Intercept

40.19631

0.596741

67.35967

0

39.02547

41.36714

39.02547

41.36714

X Variable 1

7.31E-05

1.09E-05

6.726752

2.74E-11

5.18E-05

9.45E-05

5.18E-05

9.45E-05

  1. Discuss the statistical significance of the model as wholeusing the appropriate regression statistic at a 95% level ofconfidence.
  2. Discuss the statistical significance of the coefficient for theindependent variable using the appropriate regression statistic ata 95% level of confidence.
  3. Interpret the coefficient for the independent variable.

What percentage of the observedvariation in a person’s income is explained by the model?

  1. Predict the value of a person’s income who is 45 years old,using this regression model.

Answer & Explanation Solved by verified expert
3.6 Ratings (383 Votes)
b From the ANOVA table given above value of Fstatistics is 452492 and have Pvalue 274E11Therefore at a 95 level of confidence our level of significance 5 that is 005 Hence Pvalue 274e11 005 We reject H0    See Answer
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