Two measures of a baseball player's effectiveness as a hitter are the number of hits he makes in a season and the number of times he “bats in" a run (knows as "Runs Batted In" or RBIS). Can we predict a batter’s RBIS from his hits? Below is numerical and graphical output from a computer regression of RBIS on Hits for 12 randomly selected Major League Baseball batters in 2017. SE Coef 29.35 Predictor Сoef T P Constant 14.98 0.51 0.621 Hits 0.3664 0.1915 1.91 0.085 s = 14.359 R-Sq = 26.8% R-Sq (adj) = 19.5% 110 30 100 20 90 80 10 - 70 60 - -10 - 50 -20 - 40 120 130 140 150 160 170 180 190 200 -30 -20 -10 10 20 30 120 130 140 150 160 170 180 190 200 Hits Residuals Hits (a) Use the computer output to discuss whether the conditions for regression inference have been met. If you do not have enough information to check a condition, describe what further information would be required. For the remaining questions using these data, assume that the conditions for inference have been satisfied. (b) Do these data provide convincing evidence that there is a linear relationship between RBIS and Hits for Major League Baseball batters in 2017? (c) Construct a 95% confidence interval for the slope of the population regression line for predicting RBIS from Hits. Frequency Residual
Two measures of a baseball player's effectiveness as a hitter are the number of hits he makes in a season and the number of times he “bats in" a run (knows as "Runs Batted In" or RBIS). Can we predict a batter’s RBIS from his hits? Below is numerical and graphical output from a computer regression of RBIS on Hits for 12 randomly selected Major League Baseball batters in 2017. SE Coef 29.35 Predictor Сoef T P Constant 14.98 0.51 0.621 Hits 0.3664 0.1915 1.91 0.085 s = 14.359 R-Sq = 26.8% R-Sq (adj) = 19.5% 110 30 100 20 90 80 10 - 70 60 - -10 - 50 -20 - 40 120 130 140 150 160 170 180 190 200 -30 -20 -10 10 20 30 120 130 140 150 160 170 180 190 200 Hits Residuals Hits (a) Use the computer output to discuss whether the conditions for regression inference have been met. If you do not have enough information to check a condition, describe what further information would be required. For the remaining questions using these data, assume that the conditions for inference have been satisfied. (b) Do these data provide convincing evidence that there is a linear relationship between RBIS and Hits for Major League Baseball batters in 2017? (c) Construct a 95% confidence interval for the slope of the population regression line for predicting RBIS from Hits. Frequency Residual
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please answer b and c and show all work and steps to how to the asnwer was found. Thank you!!
Transcribed Image Text:Two measures of a baseball player’s effectiveness as a hitter are the number of hits he makes in a season and the
number of times he "bats in" a run (knows as "Runs Batted In" or RBIS). Can we predict a batter's RBIS from his
hits? Below is numerical and graphical output from a computer regression of RBIS on Hits for 12 randomly selected
Major League Baseball batters in 2017.
Predictor
Сoef
SE Coef
T
P
Constant
14.98
29.35
0.51
0.621
Hits
0.3664
0.1915
1.91
0.085
S = 14.359 R-Sq = 26.8% R-Sq (adj) = 19.5%
110
30 -
100
20
90
3
80
10 -
70
60
1
-10 -
50
-20
40
120 130 140 150 160 170 180 190 200
-30 -20 -1o
10
20
30
120 130 140 150 160 170 180 190 200
Hits
Residuals
Hits
(a) Use the computer output to discuss whether the conditions for regression inference have been met. If you do not
have enough information to check a condition, describe what further information would be required.
For the remaining questions using these data, assume that the conditions for inference have been satisfied.
(b) Do these data provide convincing evidence that there is a linear relationship between RBIS and Hits for Major
League Baseball batters in 2017?
(c) Construct a 95% confidence interval for the slope of the population regression line for predicting RBIS from Hits.
penpisa
Frequency
SIAN
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