Question

In: Statistics and Probability

A regression analysis relating a company’s sales, their advertising expenditure, price (per unit), and time (taken...

A regression analysis relating a company’s sales, their advertising expenditure, price (per unit), and time (taken per unit production) resulted in the following output.

Regression Statistics

Multiple R

0.9895

R Square

0.9791

Adjusted R Square

0.9762

Standard Error

232.29

Observations

ANOVA

df

SS

MS

F

Significance F

Regression

3

53184931.86

17728310.62

328.56

0.0000

Residual

21

1133108.30

53957.54

Total

24

54318040.16

Coefficients

Standard Error

t Stat

P-value

Intercept

927.23

1229.86

0.75

0.4593

Advertising (x1)

1.02

3.09

0.33

0.7450

Price (x2)

15.61

5.62

2.78

0.0112

Time (x3)

170.53

28.18

6.05

0.0000

a. Predict Sales if Advertising is $4000, Price is $2995.00, and Time is 22 hours.

b. State the null and alternative hypothesis for the overall test of significance.

c. What is the result of the overall test at the ,05 level of significance. How do you know?

d. Which independent variables are significant at the .05 level of significance? How do you know?

e. Provide the 95% confidence interval for the independent variable price.

Solutions

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