The National Football League rates prospects by position on a scale that ranges from 5 to 9. The ratings are interpreted as follows: 8-9 should start the first year; 7.0-7.9 should start; 6.0-6.9 will make the team as backup; and 5.0-5.9 can make the club and contribute. The following table shows the position, weight, time in seconds to run 40 yards, and ratings for 25 NFL prospects (USA Today, April 14, 2000).

a. Develop a dummy variable that will account for the player's position.

b. Develop an estimated regression equation to show how rating is related to position, weight, and time to run 40 yards.

C. At the .05 level of significance, test whether the estimated regression equation developed in part (b) indicates a significant relationship between the independent variables and the dependent variable.

D. Is position a significant factor in the player's rating? Use = .05

The National Football League rates prospects by position on a scale that ranges from 5 to 9. The ratings are interpreted as follows: 8-9 should start the first year; 7.0-7.9 should start; 6.0-6.9 will make the team as backup; and 5.0-5.9 can make the club and contribute. The following table shows the position, weight, time in seconds to run 40 yards, and ratings for 25 NFL prospects (USA Today, April 14, 2000).
A. Develop a dummy variable that will account for the player's position.
B. Develop an estimated regression equation to show how rating is related to position, weight, and time to ...

From a management policy perspective, which regression result is the most useful?
a regressionequation that passes the F-test.
a regressionequation whose explanatory variables all passed the t-test.
a regressionequation that has the highest R2.
a regressionequation that has the least n

A regressionequation was estimated for result X=20 to 50 and Y= 200 to 500. Using the regression result
Y=4X+150
a. predict Y if X is 51
b. predict Y if X is 80
c. Which of the above results might be suspect, and why?

Assume that another counselor decided to extend the aforementioned study by collecting data on 14 children. His study yielded the following results:
Racial Attitude and Preference Test Scores (X)
2 4 2 5 7 8 12 14 14 16 18 18 20 20
Racial Socialization Test Scores (Y)
4 6 8 10 14 12 14 11 16 10 12 6 6 4
Calculate and in

Write out the regressionequation (Refer to the Real Estate data) which reports information on homes sold in the Denver, and use the selling price of the home as the dependent variable and determine the regressionequation with size of the house, and the distance from the center of the city.

I'm working on linear regression and I'm stuck on the equation because I'm coming up with a negative number which I don't think is an accurate forecast. The problem also asks for error tests, which I think I have the correct formulas for and will work once the first part is done. Please help! Full details and questions attached

Identify the regressionequation and make the prediction. Show your procedure, or explain how you reached your answer.
Find the best predicted cost of subway fare when the CPI is 182.5 (in the year 2000)
CPI 30.2 48.3 112.3 162.2 191.9 197.8
Subway 0.15 0.35 1 1.35 1.5 2
Fare
Regressionequation:
Predicted value: