11. Two measures of a baseball player number of times he "bats in" a run (knows as "Runs Bat hits? Below is numerical and graphical output from a computer regress Major League Baseball batters in 2017. STE Predictor Constant Hits P 0.621 0.085 3D: x² Test for a T SE Coef Coef 0.51 29.35 14.98 1.91 0.1915 0.3664 S 14.359 R-Sq = 26.8% R-Sq (adj) = 19.5% lly = 14.98 +366² 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? Ho: There is a linear relationship betw, RBIS J. Hits for 0.4 Major League Beseboll botters in 2017. Ha: There is not a linear relationship betw, RBIS + Hits fo Major League Baseball batters in 2017 we'll use α=0.05 All condition of for the inference have been met (b) Construct a 95% confidence interval for the slope of the population regression line for predicting the relatir TE: 95% CI for B = the slope of the regr RBIS from Hits. y=RBIS to ·x = Hits for a major League Baseball batterin W:t interval for the slope Linear: histogram Independent: Assume that 12<10% of all major League beseball batters! Normal: There is no strong skewedness or outliers in the his the residuals Equalsi

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-C
11. Two measures of a baseball player's effectiveness as a hitter are the number of hits he makes in a seasoff
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.
1
Ho: There is a linear relationship betw. RBIS + Hits for
Man
major League Baseboll botter's in 2017.
На
There is not a linear relationship betw, RBIS + Hits for
Major League Baseball batters in 2017.
(CA
we'll use α=0.05
Plan: X²Test for GOF
STATE
DO:
T
P
Predictor
Constant
Hits
Coef SE Coef
14.98
0.3664
29.35 0.51 0.621
0.1915 1.91 0.085
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?
My = 14.98 +36644
All Test ditions for the inforence have been met
STATE:
(b) Construct a 95% confidence interval for the slope of the population regression line for predicting RBIs from Hits.
95% CI for B = the slope of the regression line relating
y=RBIS to ·x = Hits for a major League Baseball battering
PLAN: t interval for the slope
Equal SDi
Linear:
Independent: Assume that 12 <10% of all major League baseball batters in a
Narmal: There is no strong skewedness or outliers in the his
histogramas
the residuals
Starnes/Tabor, Updated Version of The Practice of Statistics, 6e
O 2020 BFW Publishers, Inc.
Transcribed Image Text:a -C 11. Two measures of a baseball player's effectiveness as a hitter are the number of hits he makes in a seasoff 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. 1 Ho: There is a linear relationship betw. RBIS + Hits for Man major League Baseboll botter's in 2017. На There is not a linear relationship betw, RBIS + Hits for Major League Baseball batters in 2017. (CA we'll use α=0.05 Plan: X²Test for GOF STATE DO: T P Predictor Constant Hits Coef SE Coef 14.98 0.3664 29.35 0.51 0.621 0.1915 1.91 0.085 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? My = 14.98 +36644 All Test ditions for the inforence have been met STATE: (b) Construct a 95% confidence interval for the slope of the population regression line for predicting RBIs from Hits. 95% CI for B = the slope of the regression line relating y=RBIS to ·x = Hits for a major League Baseball battering PLAN: t interval for the slope Equal SDi Linear: Independent: Assume that 12 <10% of all major League baseball batters in a Narmal: There is no strong skewedness or outliers in the his histogramas the residuals Starnes/Tabor, Updated Version of The Practice of Statistics, 6e O 2020 BFW Publishers, Inc.
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