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Category > Math Posted 18 Aug 2017 My Price 8.00

regression analysis relating Y (dependent variable) and X (independent variable).

1. Shown below is a portion of an Excel output for a regression analysis relating Y (dependent variable) and X (independent variable).

 

ANOVA

 

 

 

 

df

SS

 

Regression

1

24.011

 

Residual

8

67.989

 

 

 

 

 

 

Coefficients

Standard Error

t Stat

P-value

Intercept

11.065

2.043

 5.415

0.001

x

 -0.511

0.304

-1.681

0.131

 

1.    What is the estimated regression equation that relates y to x? (2 points)

2.    Is the regression relationship significant? Use a p-value and alpha = 0.05. (2 points)

3.    What is the estimated value of y if x = 12? (2 points)

4.    Interpret the meaning of the value of the coefficient of determination if it is 0.26 in this case. Be very specific. (2 points)

2. Salary information regarding male and female employees of a large company is shown below.

 

 

Male

Female

Sample Size

64

36

Sample Mean Salary (in 1,000)

44

41

Sample Standard Deviation

128

72

 

1.    What is the set of null and alternative hypotheses if we want to determine whether the mean salary of male and female employees is the same? (2 points)

2.    Using a level of significance of 0.05, what is the rejection rule for this test using the critical value approach if the degrees of freedom (df) for this test is given to be df = 97? (2 points)

3.    Calculate the t statistic. (2 points)

4.    Based on the above, what is the conclusion of this statistical test? (2 points)

 

 

 

Answers

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Status NEW Posted 18 Aug 2017 07:08 AM My Price 8.00

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