統計問題--有關迴歸分析

【題組】Pay equity for men and women has been an ongoing source of conflict for a number of years in North America. Suppose that a statistician is investigating the factors that affect salary differences between male and female university professors. The following variables are included in the study: Annual salary

number of years since first degree highest degree (1 with a PhD and 0 else)

Mean score on teaching evaluation. Number of articles published

and gender (1 if male and 0 else). The result of the regression analysis is listed as follows. Regression Statistics Multiple R 0.9737 R Square` 0.9482 Adjusted R Square 0.9454 Standard Error 3015 Observations 100 ANOVA Sources Df SS MS F Significance F Regression 5 15636303318 3127260664344.040.0000 Residual 94 854451113 9089905 Total 99 16490754431 Coefficients Standard Errort.Stat P-valueIntercept -5916.0 3141.00 -1.88 0.0627Years 1022.0 48.93 20.88 0.0000PhD 725.7 961.5 0.75 0.4523Evaluation 3729.0 619.8 6.02 0.0000Articles 439.1 80.69 5.44 0.0000Gender 1090.0 632.0 1.72 0.0879( )1. Which of the following statement is correct? (A)Since F = 344.04

there is no evidence to infer that the model is valid (B)Since p-value = 0

there is enough evidence to infer that the model is valid (C)Since R Square = 0.9482

there is no evidence to infer that the model is valid (D)Since Standard Error = 3015

there is enough evidence to infer that the model is not valid.In this problem
( )1. Which of the following statement is correct? (A)Since F = 344.04

there is no evidence to infer that the model is valid (B)Since p-value = 0

there is enough evidence to infer that the model is valid (p值=0

顯著) (C)Since R Square = 0.9482

there is no evidence to infer that the model is valid (D)Since Standard Error = 3015

there is enough evidence to infer that the model is not valid.In this problem() 2. Which of the following statement is correct? (A)There is no evidence that the professors with PhD are better paid than the professors without PhD are at 10% significant level(p值=0.4523

不顯著 ) (B)There is enough evidence that the professors with PhD are better paid than the professors without PhD are at 5% significant level(C)There is no evidence that male professors are better paid than fe-male professors are with the same qualifications at 10% significant level(D)There is enough evidence that male professors are better paid than female professors are with the same qualifications at 5% significant level( ) 3. Point estimate the annual salary of a male professor with 20 years since first degree

PhD

5 mean score on teaching evaluation

and 13 articles published. (A)In the range of [25000

30000) (B)In the range of [30000

35000) (C)In the range of [35000

40000)(D)In the range of [40000

45000) (E)In the range of [45000

50000).Ans =-5916 1022*20 725.7 3729*5 439.1*13 1090 = 40693( ) 4. Point estimate the annual salary of a female professor with 20 years since first degree

PhD

5 mean score on teaching evaluation

and 13 articles published.(A)In the range of [25000

30000) (B)In the range of [30000

35000) (C)In the range of [35000

40000) (D)In the range of [40000

45000) (E)In the range of [45000

50000). Ans =-5916 1022*20 725.7 3729*5 439.1*13 = 39603

phd 博士,phd是什麼,md phd,phd student,phd candidate,phd舞團,phd degree,phd program,phd 縮寫,phd 碩士PhD,Standard Error,Annual salary,R Square,annual salary,no evidence,university professors,the range,female professors,score

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