1. (Data Below) Outside Magazine tested 9 different models of day hikers and backpacking boots. The following data show the upper support and price for each model tested. Upper support was measured using a rating from 1 to 5, with a rating of 1 denoting average upper support and a rating of 5 denoting excellent upper support.

1. Use these data to develop an estimated regression equation to estimate the price of a day hiker and backpacking boot given the upper support rating. Write down the estimated regression equation for this problem.
2. At a .10 level of significance, determine whether upper support and price are related.
3. Would you feel comfortable using the estimated regression equation developed in part (a) to estimate the price for a day hiker or backpacking boot given the upper support rating? Explain the basis for your answer.
4. Estimate the price for a day hiker with an upper support rating of 4.
5. Find the 90% Confidence and Prediction Intervals for the data in part (d).
6. Provide an interpretation for the slope of the estimated regression equation.

A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. But does trust in this social networking site differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site.

(a) What is the point estimate of the proportion of women who trust recommendations made on this particular social networking site?

(b)What is the point estimate of the proportion of men who trust recommendations made on this particular social networking site?

(c)Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site. (Round your answers to four decimal places.)

Bicycling, the world's leading cycling magazine, reviews hundreds of bicycles throughout the year. Their "Road-Race" category contains reviews of bikes used by riders primarily interested in racing. One of the most important factors in selecting a bike for racing is the weight of the bike. The following data show the weight (pounds) and price ($) for 10 racing bikes reviewed by the magazine.†

(a)

Use the data to develop an estimated regression equation that could be used to estimate the price for a bike given the weight. (Round your numerical values to the nearest integer).

ŷ =

(b)

Compute

r².

(Round your answer to three decimal places.)

r²

=

Did the estimated regression equation provide a good fit?

The estimated regression equation provided a good fit, since r² ≥ 0.55.The estimated regression equation did not provide a good fit, since r² < 0.55.     The estimated regression equation provided a good fit, since r² < 0.55.The estimated regression equation did not provide a good fit, since r² ≥ 0.55.

(c)

Predict the price (in dollars) for a bike that weighs 15 pounds. (Round your answer to the nearest dollar.)

Bicycling, the world's leading cycling magazine, reviews hundreds of bicycles throughout the year. Their "Road-Race" category contains reviews of bikes used by riders primarily interested in racing. One of the most important factors in selecting a bike for racing is the weight of the bike. The following data show the weight (pounds) and price ($) for 10 racing bikes reviewed by the magazine.†

(a)

Use the data to develop an estimated regression equation that could be used to estimate the price for a bike given the weight. (Round your numerical values to the nearest integer).

ŷ =

(b)

Compute

r².

(Round your answer to three decimal places.)

r²

=

Did the estimated regression equation provide a good fit?

The estimated regression equation provided a good fit, since r² ≥ 0.55.The estimated regression equation did not provide a good fit, since r² < 0.55.     The estimated regression equation did not provide a good fit, since r² ≥ 0.55.The estimated regression equation provided a good fit, since r² < 0.55.

(c)

Predict the price (in dollars) for a bike that weighs 17 pounds. (Round your answer to the nearest dollar.)

$

Problem 2: (Revised 6.3) Magazine Advertising: In a study of revenue from advertising, data were collected for 41 magazines list as follows. The variables observed are number of pages of advertising and advertising revenue. The names of the magazines are listed as:

(use sas）

Adv Revenue

25 50

15 49.7

20 34

17 30.7

23 27

17 26.3

14 24.6

22 16.9

12 16.7

15 14.6

8 13.8

7 13.2

9 13.1

12 10.6

1 8.8

6 8.7

12 8.5

9 8.3

7 8.2

9 8.2

7 7.3

1 7

77 6.6

13 6.2

5 5.8

7 5.1

13 4.1

4 3.9

6 3.9

3 3.5

6 3.3

4 3

3 2.5

3 2.3

5 2.3

4 1.8

4 1.5

3 1.3

3 1.3

4 1

2 0.3

1. Fit a linear regression equation relating advertising revenue to advertising pages. Verify that the fit is poor.
2. Choose an appropriate transformation of the data and fit the model to the transformed data. Evaluate the fit.
3. You should not be surprised by the presence of a large number of outliers because the magazines are highly heterogeneous and it is unrealistic to expect a single relationship to connect all of them. Find outliers and high leverage points. Delete the outliers and obtain an acceptable regression equation that relates advertising revenue to advertising pages.
4. For the deleted data, check the homogeneity of the variance. Choose an appropriate transformation of the data and fit the model to the transformed data. Evaluate the fit.

Bicycling, the world's leading cycling magazine, reviews hundreds of bicycles throughout the year. Their "Road-Race" category contains reviews of bikes used by riders primarily interested in racing. One of the most important factors in selecting a bike for racing is the weight of the bike. The following data show the weight (pounds) and price ($) for 10 racing bikes reviewed by the magazine.†

1. Use the data to develop an estimated regression equation that could be used to estimate the price for a bike given the weight. (Round your numerical values to the nearest integer).

ŷ =

2. Compute r². (Round your answer to three decimal places.)

r² =

2b. Did the estimated regression equation provide a good fit?

(a) The estimated regression equation did not provide a good fit, since r² ≥ 0.55.

(b) The estimated regression equation did not provide a good fit, since r² < 0.55.     

(c) The estimated regression equation provided a good fit, since r² < 0.55.

(d) The estimated regression equation provided a good fit, since r² ≥ 0.55.

3. Predict the price (in dollars) for a bike that weighs 15 pounds. (Round your answer to the nearest dollar.)

Bicycling, the world's leading cycling magazine, reviews hundreds of bicycles throughout the year. Their "Road-Race" category contains reviews of bikes used by riders primarily interested in racing. One of the most important factors in selecting a bike for racing is the weight of the bike. The following data show the weight (pounds) and price ($) for 10 racing bikes reviewed by the magazine.†

(a)

Use the data to develop an estimated regression equation that could be used to estimate the price for a bike given the weight. (Round your numerical values to the nearest integer).

ŷ =

(b)

Compute

r².

(Round your answer to three decimal places.)

r²

=

Did the estimated regression equation provide a good fit?

The estimated regression equation provided a good fit, since r² ≥ 0.55.The estimated regression equation did not provide a good fit, since r² < 0.55.     The estimated regression equation provided a good fit, since r² < 0.55.The estimated regression equation did not provide a good fit, since r² ≥ 0.55.

(c)

Predict the price (in dollars) for a bike that weighs 13 pounds. (Round your answer to the nearest dollar.)

$

Financial statement data of Style TravelerStyle Traveler magazine include the following items​ (dollars in​ thousands):

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​(Click the icon to view the financial statement​ data.)

Requirements

Requirement 1. Compute

Style TravelerStyle Traveler​'s

current​ ratio, debt​ ratio, and earnings per share. Round all ratios to two decimal places.

Requirement 2. Compute the three ratios after evaluating the effect of each transaction that follows. Consider each transaction

separately.

a. Purchased inventory on​ account,$60,000

b. Borrowed $170,000 on a​long-term note payable c. Issued 7,500 shares of common​ stock, receiving cash of $136,000

d. Received cash on​ account,$20,000.

​(Round your answers to two decimal​ places.)

DATA TABLE

Cash. . . . . . . . . . . . . . . . . . . . . . . . . .

$25,000

Accounts receivable, net. . . . . . . . . . . .

$83,500

Inventories. . . . . . . . . . . . . . . . . . . . . .

$169,500

Total assets. . . . . . . . . . . . . . . . . . . . .

$680,000

Short-term notes payable. . . . . . . . . .

$51,500

Accounts payable. . . . . . . . . . . . . . . . .

$105,000

Accrued liabilities. . . . . . . . . . . . . . . . .

$43,500

Long-term liabilities. . . . . . . . . . . . . .

$208,000

Net income. . . . . . . . . . . . . . . . . . . . . .

$81,000

Common shares outstanding. . . . . . . . .

60,000