Week 7 Assignment

Week 7 Assignment

Week 7 Assignment
Question 1

Assume you have noted the following prices for paperback books and the number of pages that each book contains.
Develop a least-squares estimated regression line.

Compute the coefficient of determination and explain its meaning.
Compute the correlation coefficient between the price and the number of pages. Test to see if x and y are related. Use α = 0.10.

Question 2

The following data represent a company’s yearly sales volume and its advertising expenditure over a period of 8 years.

Develop a scatter diagram of sales versus advertising and explain what it shows regarding the relationship between sales and advertising.
Use the method of least squares to compute an estimated regression line between sales and advertising.
If the company’s advertising expenditure is $400,000, what are the predicted sales? Give the answer in dollars.
What does the slope of the estimated regression line indicate?

Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly presents well-reasoned ideas and concepts 30
Uses proper mechanics, punctuation, sentence structure, and spelling 10
Total 100

Solution Preview

QUESTION 1
Since this is a simple linear regression model, the least squares regression line will be given by the formular;
Y=B0+B1X1;
Pages=X and Price=Y
Whereby:
B_0=((∑▒Y)(∑▒X^2 )-(∑▒X)(∑▒XY))/(n(∑▒X^2 )-(〖∑▒X)〗^2 )
B_1=(n(∑▒XY)-(∑▒X)(∑▒Y))/(n(∑▒X^2 )-(〖∑▒X)〗^2 )
B0 is referred to as the y-intercept
B1 is referred to as the regression coefficient or the slope of the regression line

(326 words)