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

 

Mean square regression (MSR) and mean square error (MSE) are:

A) 102.10; 7.11.

B) 7.38; 3.42.

C) 107.55; 3.60.

D) 6.72; 3.58.

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

 

The correct answer is A

standard error for the coefficient of age = coefficient / t-value = 0.53 / 1.33 = 0.40

t-statistic for the coefficient of education = coefficient / standard error = 2.32 / 0.41 = 5.66

aianjie

 

5、A study of a sample of incomes (in thousands of dollars) of 35 individuals shows that income is related to age and years of education. The following table shows the regression results:

	Coefficient	Standard Error	t-statistic	P-value
Intercept	5.65	1.27	4.44	0.01
Age	0.53	?	1.33	0.21
Years of Education	2.32	0.41	?	0.01
Anova	df	SS	MS	F
Regression	?	215.10	?	?
Error	?	115.10	?
Total	?	?

The standard error for the coefficient of age and t-statistic for years of education are:

A)    0.40; 5.66.

B)    0.53; 2.96.

C)   0.20; 1.96.

D)   0.32; 1.65.

aianjie

 

Heteroskedasticity can be defined as:

A) error terms that are dependent. 

B) a regression that changes over time. 

C) nonconstant variance of the error terms. 

D) independent variables that are correlated with each other. 

aianjie

 

The correct answer is C

Heteroskedasticity occurs when the variance of the residuals is not the same across all observations in the sample. Autocorrelation refers to dependent error terms. Nonstationarity is when the regression changes over time.

 

aianjie

 

What is the value of the F-statistic?

A) 0.0003. 

B) 0.9945. 

C) 182. 

D) 3,359. 

aianjie

 

The correct answer is D

F = mean square regression / mean square error = 23,516 / 7 = 3,359.