Homework Help is Here – Start Your Trial Now!
Math
Statistics
In a sport like basketball, there is always a preference given to taller players since it is widely believed that taller players tend to perform better than shorter players. However, if one looks at the history of NBA, there have been instances when players with relatively shorter heights have performed exceedingly well. Michael, an ardent follower of this game, is interested in understanding the relationship between a player's height and how well he performs. Accordingly, he collects data on the heights of 105 shooting guards and the number of points they scored in a tournament. The estimated regression function is: P₁ = 1.20 +0.71H,, where P, is the predicted value of the number points scored by the ith player in the tournament and H, is the height of the ith player measured in inches. Michael wants to check how well his OLS regression line fits the data before arriving at any conclusion. From the sample data, he makes the following calculations. 105 Σ (P₁-P)² = 78.45. i=1 105 Σ(P-P)²=103.47. i=1 The regression R² is (Round your answer to two decimal places.) Which of the following statements are true about the value of R2? (Check all that apply). A. The value of R2 lies between 1 and +1. B. If the independent variable explains all the variations in the dependent variable, then the value of R² will be - 1. C. The value of R2 lies between 0 and 1. D. If the independent variable explains none of the variations in the dependent variable, then the value of R² will be 0.

In a sport like basketball, there is always a preference given to taller players since it is widely believed that taller players tend to perform better than shorter players. However, if one looks at the history of NBA, there have been instances when players with relatively shorter heights have performed exceedingly well. Michael, an ardent follower of this game, is interested in understanding the relationship between a player's height and how well he performs. Accordingly, he collects data on the heights of 105 shooting guards and the number of points they scored in a tournament. The estimated regression function is: P₁ = 1.20 +0.71H,, where P, is the predicted value of the number points scored by the ith player in the tournament and H, is the height of the ith player measured in inches. Michael wants to check how well his OLS regression line fits the data before arriving at any conclusion. From the sample data, he makes the following calculations. 105 Σ (P₁-P)² = 78.45. i=1 105 Σ(P-P)²=103.47. i=1 The regression R² is (Round your answer to two decimal places.) Which of the following statements are true about the value of R2? (Check all that apply). A. The value of R2 lies between 1 and +1. B. If the independent variable explains all the variations in the dependent variable, then the value of R² will be - 1. C. The value of R2 lies between 0 and 1. D. If the independent variable explains none of the variations in the dependent variable, then the value of R² will be 0.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Question list O Question 12 O Question 13 O Question 14 O Question 15 O Question 16 O Question 17 O Question 18 Question 19 K In a sport like basketball, there is always a preference given to taller players since it is widely believed that taller players tend to perform better than shorter players. However, if one looks at the history of NBA, there have been instances when players with relatively shorter heights have performed exceedingly well. Michael, an ardent follower of this game, is interested in understanding the relationship between a player's height and how well he performs. Accordingly, he collects data on the heights of 105 shooting guards and the number of points they scored in a tournament. The estimated regression function is: P₁ = 1.20 +0.71H₁, where P, is the predicted value of the number points scored by the ith player in the tournament and H; is the height of the ith player measured in inches. Michael wants to check how well his OLS regression line fits the data before arriving at any conclusion. From the sample data, he makes the following calculations. 105 2 Σ (P₁-P) ² = i=1 = 78.45. 105 Σ (P₁-P)² = 103.47. i=1 The regression R² is (Round your answer to two decimal places.) Which of the following statements are true about the value of R²? (Check all that apply). A. The value of R² lies between - 1 and + 1. B. If the independent variable explains all the variations in the dependent variable, then the value of R² will be - 1. C. The value of R² lies between 0 and 1. D. If the independent variable explains none of the variations in the dependent variable, then the value of R² will be 0.
Transcribed Image Text:Question list O Question 12 O Question 13 O Question 14 O Question 15 O Question 16 O Question 17 O Question 18 Question 19 K In a sport like basketball, there is always a preference given to taller players since it is widely believed that taller players tend to perform better than shorter players. However, if one looks at the history of NBA, there have been instances when players with relatively shorter heights have performed exceedingly well. Michael, an ardent follower of this game, is interested in understanding the relationship between a player's height and how well he performs. Accordingly, he collects data on the heights of 105 shooting guards and the number of points they scored in a tournament. The estimated regression function is: P₁ = 1.20 +0.71H₁, where P, is the predicted value of the number points scored by the ith player in the tournament and H; is the height of the ith player measured in inches. Michael wants to check how well his OLS regression line fits the data before arriving at any conclusion. From the sample data, he makes the following calculations. 105 2 Σ (P₁-P) ² = i=1 = 78.45. 105 Σ (P₁-P)² = 103.47. i=1 The regression R² is (Round your answer to two decimal places.) Which of the following statements are true about the value of R²? (Check all that apply). A. The value of R² lies between - 1 and + 1. B. If the independent variable explains all the variations in the dependent variable, then the value of R² will be - 1. C. The value of R² lies between 0 and 1. D. If the independent variable explains none of the variations in the dependent variable, then the value of R² will be 0.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 18 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS