Reference no: EM131250657
Written 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.
|
Book
|
Pages (x)
|
Price (y)
|
|
A
|
500
|
$ 7.00
|
|
B
|
700
|
7.50
|
|
C
|
750
|
9.00
|
|
D
|
590
|
6.50
|
|
E
|
540
|
7.50
|
|
F
|
650
|
7.00
|
|
G
|
480
|
4.50
|
1. Compute the coefficient of determination and explain its meaning.
2. 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.
|
(Y)
Sales in Millions of Dollars
|
(X)
Advertising in ($ 10,000)
|
|
15
|
32
|
|
16
|
33
|
|
18
|
35
|
|
17
|
34
|
|
16
|
36
|
|
19
|
37
|
|
19
|
39
|
3. Develop a scatter diagram of sales versus advertising and explain what it shows regarding the relationship between sales and advertising.
4. Use the method of least squares to compute an estimated regression line between sales and advertising.
5. If the company's advertising expenditure is $400,000, what are the predicted sales? Give the answer in dollars.
6. What does the slope of the estimated regression line indicate?
Project Assignment
• For these project assignments throughout the course you will need to reference the data in the ROI Excel spreadheet.
Using the ROI data set:
For each of the two majors:
1. Draw the scatter diagram of Y = ‘Annual % ROI' against X = ‘Cost'.
2. Obtain b0 and b1 of the regression equation defined as y ^ = b0 + b1X and the coefficient of determination (r2) from the Excel regression output.
3. Draw the fitted regression line on the scatter diagram.
4. Calculate the estimated ‘Annual % ROI' when the ‘Cost' (X) is $160,000.
5. Test the hypothesis:
o H0: β1 = 0
o Ha: β1 ≠ 0
Write a paragraph or more on any observations you make about the regression estimates, coefficient of determination, the plots, and the results of your hypothesis tests.
|
Responses to your peers posts provide constructive
: You are required to make two (2) responses to the initial posts of two (2) different peers. In each response to your peers' comment on the different types of technology, the advantages and disadvantages they chose and strategies the RN can employ ..
|
|
Large batches to building contractors
: Coal consumption tends to change with the economic cycle - declining during a recession and increasing during a boom. As a result we would expect coal prices to vary a lot with the economic cycle. Would you agree or disagree?
|
|
Write about human rights issues that russia face
: Write two pages about Human Rights issues that Russia face; Intro : define Russia and some history and then. a topic sentence which includes the thesis
|
|
Define a problem or topic for systematic investigation
: Define a problem or topic for systematic investigation and research - obtain and critically assess literature relevant to the research undertaken.
|
|
What does the slope of estimated regression line indicate
: What does the slope of the estimated regression line indicate? Develop a scatter diagram of sales versus advertising and explain what it shows regarding the relationship between sales and advertising.
|
|
Find consumer and producer surplus
: Suppose that the government levies of tax of $6 on each unit of the good exchanged. Find the new equilibrium. Find the changes in consumer surplus, producer surplus, and the surplus collected by government. Find the welfare cost of the tax.
|
|
Project - scientific and medical evidence
: Plant Research Term Project: Scientific and Medical Evidence. Herbs and plants contain chemical compounds; some of them are effective at curing conditions, some are dangerous and others are a waste of effort and money
|
|
What are thoughts about extreme couponing
: Extreme couponing occurs when customers use multiple coupons or buy in large quantities to receive discounts. Read Retailing View 14.5. What are your thoughts about extreme couponing? Should retailers take steps to restrict it or embrace it as s..
|
|
Short-run economic fluctuations
: Select an organization your team is familiar with or an organization where a team member currently works. Create a 15- to 20-slide Microsoft® PowerPoint® presentation that will be presented to the organization's Executive Committee. The presentatio..
|