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Assume you have noted the following prices for books and the number of pages that each book contains. Book Price (in $) Y Pages X

Assume you have noted the following prices for books and the number of pages that each book contains.

Book

Price (in $)

Y

Pages

X

A 7.00 500
B 7.50 700
C 9.00 750
D 6.50 590
E 7.50 540
F 7.00 650
G 4.50 480

A part of the output of a regression analysis of Y against X using Excel is given below:

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.75027
R Square 0.56290
Adjusted R Square 0.475487
Standard Error 0.980614
Observations 7
ANOVA
df SS MS F Significance F
Regression 1 6.191972 6.191972
Residual 5 4.808028 0.961606
Total 6 11
Coefficients Standard Error t Stat P-value
Intercept 1.04155 2.37717
Pages 0.00990 0.00390
  1. State the estimated regression line and interpret the slope coefficient.
  2. What is the estimated total price when a book has 1000 pages?
  3. What is the value of the coefficient of determination? Interpret it.
  4. Test whether there is a significant relationship between price and pages at the 10% significance level. Perform the test using the following six steps.

Step 1. Statement of the hypothesis

Step 2. Standardised test statistic

Step 3. Level of significance

Step 4. Decision Rule

Step 5. Calculation of test statistic

Step 6. Conclusion

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