aianjie

 

The correct answer is C

df for Regression = k = 2

df for Error = n – k – 1 = 35 – 2 – 1 = 32

MSR = RSS / df = 215.10 / 2 = 107.55

MSE = SSE / df = 115.10 / 32 = 3.60

aianjie

 

What is the R2 for the regression?

A) 62%. 

B) 76%. 

C) 65%. 

D) 82%. 

aianjie

 

The correct answer is C

SST = RSS + SSE

= 215.10 + 115.10 = 330.20

R2 = RSS / SST = 215.10 / 330.20 = 0.65

aianjie

 

What is the predicted income of a 40-year-old person with 16 years of education?

A) $63,970. 

B) $62,120. 

C) $52,780. 

D) $74,890.

aianjie

 

The correct answer is A

income  = 5.65 + 0.53 (age) + 2.32 (education)

        = 5.65 + 0.53 (40) + 2.32 (16)= 63.97 or $63,970

aianjie

 

What is the F-value?

A) 14.36. 

B) 2.16.

C) 29.88.

D) 1.88.

aianjie

 

The correct answer is C

F = MSR / MSE = 107.55 / 3.60 = 29.88

 

aianjie

 

6、Which statement is most accurate? Assume a 5 percent level of significance. The F-statistic is:

Analysis of Variance Table (ANOVA)
Source	Degrees of freedom (df)	Sum of Squares	Mean Square (SS/df)	F-statistic
Regression	5	18,500	3,700
Error	94	600.66	6.39
Total	99	19,100.66

A)    0.0017 and the regression is said to be statistically significant.

B)    0.0017 and the regression is said to be statistically insignificant.

C)   579.03 and the regression is said to be statistically insignificant.

D)   579.03 and the regression is said to be statistically significant.

aianjie

 

The correct answer is D

F =3,700/6.39 = 579.03 which is significant since the critical F value is between 2.29 and 2.37. The critical F value is found by using a 5% level of significance F-table and looking up the value that corresponds with 5 = k = the number of independent variables in the numerator and 100 _ 5 _ 1 = 94 df in the denominator resulting in a critical value between 2.29 and 2.37.

 

aianjie

 

7、Consider the following analysis of variance (ANOVA) table:

Source	Sum of squares	Degrees of freedom	Mean square
Regression	500	1	500
Error	750	50	15
Total	1,250	51

The R² and the F-statistic are, respectively:

A)    R² = 0.40 and F = 33.333.

B)    R² = 0.67 and F = 0.971.

C)   R² = 0.40 and F = 0.971.

D)   R² = 0.67 and F = 33.333.