Question

20. A random sample of 8 professional athletes produced the following data where x is the...

20. A random sample of 8 professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars).

x

y

0

1

1

1.5

1

2

2

3

2

3.5

3

3

5

6.5

5

7

  1. (a) Find an equation of the least squares regression line. Round the slope and y-intercept value to two decimal places. Describe method for obtaining results.
  2. (b) Based on the equation from part (a), what is the predicted amount of money made when a professional athlete has 4 endorsements? Show all work and justify your answer.
  3. (c) Based on the equation from part (a), what is the predicted amount of money made when a professional athlete has 15 endorsements? Show all work and justify your answer.
  4. (d) Which predicted amount of money made that you calculated for (b) and (c) do you think is closer to the true amount of the money made and why?
0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
20. A random sample of 8 professional athletes produced the following data where x is the...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A random sample of ten professional athletes produced the following data where x is the number...

    A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars). x y x y 0 2 5 11 3 8 4 9 2 6 3 8 1 3 0 3 6 14 5 10 Use regression to find the equation for the line of best fit. (Round your answers to three decimal places.) ŷ =   +   x

  • for this question, could you include written work of the 1) independant and dependant variables? 2)...

    for this question, could you include written work of the 1) independant and dependant variables? 2) is it reasonable to use linear regression and why? 3) what is the slope of the line best fit? 4) what is the y-intercept of ^ and what does it represent? 5) what is the linear coefficent? 6) is the linear coefficent significant and why? 7) if a professional athlete did six endorsements, what could they expect a profit according to the regression equation?...

  • A scientist believes that the frequency of cricket chirping is a good predictor of the ambient...

    A scientist believes that the frequency of cricket chirping is a good predictor of the ambient temperature. A random sample produced the following data where x is the number of cricket chirps in one minute and y is the ambiet temperature in Fahrenheit. x 128, 227, 188, 150, 210, 185, 137, 171 y 70, 83, 84, 76, 89, 83, 72, 80 (a) Find an equation of the least squares regression line. Round the slope and y-intercept value to two decimal...

  • Let x be a random variable that represents the percentage of successful free throws a professional...

    Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. 75 86 73 73 44 3948 51 (a) Verify that Ex - 438, 2y = 277, 2x2 = 32264, y = 12899, Exy = 20365, and r * 0.803....

  • A random sample of 11 employees produced the following data, where x is the consecutive hours...

    A random sample of 11 employees produced the following data, where x is the consecutive hours worked, and y is current employee satisfaction (out of a maximum of 100 points). The data are presented below in the table of values. x y 4 86 5 76 7 92 8 71 10 63 11 70 12 58 14 57 16 49 18 45 19 46 What is the equation of the regression line? ˆ=−3.864x+97.1 yˆ=−3.864x+87.3 yˆ=−2.864x+97.1 yˆ=−1.864x+87.3

  • In this assignment, you will be using a regression tree to analyze some data about contract...

    In this assignment, you will be using a regression tree to analyze some data about contract negotiations. Athlete Contract Negotiations (regression tree). Casey Deesel is a sports agent negotiating a contract for Titus Johnston, an athlete in the National Football League (NFL). An important aspect of any NFL contract is the amount of guaranteed money over the life of the contract. Casey has gathered data on 506 NFL athletes who have recently signed new contracts. Each observation (NFL athlete) includes...

  • Run a regression analysis on the following data set, where y is the final grade in...

    Run a regression analysis on the following data set, where y is the final grade in a math class and x is the average number of hours the student spent working on math each week. hours/week Grade х у 4 41.6 4 54.6 8 68.2 8 73.2 8 66.2 11 63.4 11 70.4 11 80.4 13 71.2 16 85.4 State the regression equation y = mx + b, with constants accurate to two decimal places. What is the predicted value...

  • 28 40 25 40 41 15 3. A farmer would like to investigate the relationship between...

    28 40 25 40 41 15 3. A farmer would like to investigate the relationship between the obtained yield of apple trees and the amount of weeds found in their roots. For this reason, nine apple trees of the same type were randomly selected and the amount of weeds in their roots (7 grams) was recorded together with their yield (y kilograms). Year #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 Weeds in roots (2) 30 32 25...

  • 1.8. Expectation of a Random Variable 67 1.8.8. A bowl contains 10 chips, of which 8...

    1.8. Expectation of a Random Variable 67 1.8.8. A bowl contains 10 chips, of which 8 are marked $2 each and 2 are $5 each. Let a person choose, at random and without replacement, three chips from this bowl. If the person is to receive the sum of the resulting amounts, find his expectation. Let f(z) = 2z, o < 1, zero elsewhere, be the pdf of X. (a) Compute E(1/X). (b) Find the odf and the pdf of Y...

  • Name Economics 5 Ch 13 Practice The follo wing data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administ ration Obser vatio...

    Name Economics 5 Ch 13 Practice The follo wing data are the monthly salaries y and the grade point averages x for students who obtained a bachelor's degree in business administ ration Obser vation index xi 2.6 3300 3.4 3600 3.6 4000 3.2 3500 3.5 3900 2.9 3600 TSS Totals SSR SSE 1. Calculate and y 2. Use the least squares method to develop the estimated regression equation. Use two decimal points in your answers for bo and bi. 3....

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT