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Reading 11- LOS I (Part 2): : Q6-10

6at is the R-squared for the regression?

A)   62%.

B)   65%.

C)   76%.

D)   82%.

 

7at 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.


8
at is the F-value?

A)   14.36.

B)   2.16.

C)   29.88.

D)   1.88.


9
ca Basenj, CFA, has been given an assignment by her boss. She has been requested to review the following regression output to answer questions about the relationship between the monthly returns of the Toffee Investment Management (TIM) High Yield Bond Fund and the returns of the index (independent variable).

Regression Statistics

R-squared

??

 

Standard Error

??

Observations

20

 

ANOVA

 

df

SS

MS

F

Significance F

Regression

1

23,516

23,516

?

?

Residual

18

?

7

 

 

Total

19

23,644

 

 

 

 

Regression Equation

 

 

Coefficients

Std. Error

t- statistic

p-value

Intercept

 

5.2900

1.6150

?

?

Slope

 

0.8700

0.0152

?

?

 

 

 

 

 

 

 

 

What is the value of the correlation coefficient?

A)   -0.9973.

B)   0.8700.

C)   0.9973.

D)   -0.8700.


10
t is the sum of squared errors (SSE)?

A)   128.

B)   23,515.

C)   23,644.

D)   3,283.

6at is the R-squared for the regression?

A)   62%.

B)   65%.

C)   76%.

D)   82%.

The correct answer was B)

SST  = RSS + SSE

= 215.10 + 115.10

                    = 330.20

R2 = RSS/SST = 215.10/330.20 = 0.65

7at 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.

The correct answer was A)

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

            = 5.65 + 0.53 (40) + 2.32 (16)

            = 63.97 or $63,970

8at is the F-value?

A)   14.36.

B)   2.16.

C)   29.88.

D)   1.88.

The correct answer was C)

F = MSR/MSE = 107.55/3.60 = 29.88

9ca Basenj, CFA, has been given an assignment by her boss. She has been requested to review the following regression output to answer questions about the relationship between the monthly returns of the Toffee Investment Management (TIM) High Yield Bond Fund and the returns of the index (independent variable).

Regression Statistics

R-squared

??

 

Standard Error

??

Observations

20

 

ANOVA

 

df

SS

MS

F

Significance F

Regression

1

23,516

23,516

?

?

Residual

18

?

7

 

 

Total

19

23,644

 

 

 

 

Regression Equation

 

 

Coefficients

Std. Error

t- statistic

p-value

Intercept

 

5.2900

1.6150

?

?

Slope

 

0.8700

0.0152

?

?

 

 

 

 

 

 

 

 

What is the value of the correlation coefficient?

A)   -0.9973.

B)   0.8700.

C)   0.9973.

D)   -0.8700.

The correct answer was C)

R2 is the correlation coefficient squared, taking into account whether the relationship is positive or negative. Since the value of the slope is positive, the TIM fund and the index are positively related. R2 is calculated by taking the (RSS/SST) = 0.99459. (0.99459)1/2 = 0.9973.

10t is the sum of squared errors (SSE)?

A)   128.

B)   23,515.

C)   23,644.

D)   3,283.

The correct answer was A)

SSE = SST – RSS = 23,644 – 23,516 = 128

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