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 Major League Baseball batters in 2017. 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.  Assume that the conditions for inference have been satisfied. (a) Do these data provide convincing evidence that there is a linear relationship between RBIs and Flits for Major League Baseball batters in 2017? (b) Construct a 95% confidence interval for the slope of the population regression line for predicting RBIs from Hits.

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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
Major League Baseball batters in 2017.
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. 

Assume that the conditions for inference have been satisfied.
(a) Do these data provide convincing evidence that there is a linear relationship between RBIs and Flits for Major
League Baseball batters in 2017?


(b) Construct a 95% confidence interval for the slope of the population regression line for predicting RBIs from Hits.

2. Resulting line is y = a + bx
3. Let A = 10 and B = 10b
(A 801 'x 8oI
2. Resulting line is y = a + bx
3. Let A = 10 and B= b
%3D
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
Coef SE Coef
Constant
14.98
29.35
0.51
0.621
Hits
0.3664
0.1915 1.91
S = 14.359 R-Sq
26.8% R-Sq (adj) = 19.5%
Assume that the conditions for inference have been satisfied.
(a) Do these data provide convincing evidence that there is a linear relationship between RBIS and Hits for Major
League Baseball batters in 2017?
be met in
(b) Construct a 95% confidence interval for the slope of the population regression line for predicting RBIS from Hits.
O 2020 BFW Publishers, Inc.
Starnes/Tabor, Updated Version of The Practice of Statistics, 6e
Transcribed Image Text:2. Resulting line is y = a + bx 3. Let A = 10 and B = 10b (A 801 'x 8oI 2. Resulting line is y = a + bx 3. Let A = 10 and B= b %3D 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 Coef SE Coef Constant 14.98 29.35 0.51 0.621 Hits 0.3664 0.1915 1.91 S = 14.359 R-Sq 26.8% R-Sq (adj) = 19.5% Assume that the conditions for inference have been satisfied. (a) Do these data provide convincing evidence that there is a linear relationship between RBIS and Hits for Major League Baseball batters in 2017? be met in (b) Construct a 95% confidence interval for the slope of the population regression line for predicting RBIS from Hits. O 2020 BFW Publishers, Inc. Starnes/Tabor, Updated Version of The Practice of Statistics, 6e
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