A statistical program is recommended.Data showing the values of several pitching statistics for a random sample of 20 pitchers from the American League of Major League Baseball is provided.Playerso/IP HR/IPR/IPTeamLERAVerlander, JDET2452.401.000.100.29Beckett, JBOS1372.890.910.110.34Wilson, CTEX16 72.940.920.070.40Sabathia, CNYY19 83.000.970.070.37Haren, DLAA16 10 3.170.810.080.38McCarthy, BOAK993.320.720.060.43Santana, ELAA11123.380.780.110.42Lester, JBOS1593.470.950.100.40Hernandez, FSEA14143.470.950.080.42Buehrle, MCWs1393.590.530.100.45Pineda, MSEA9103.741.010.110.44Colon, BNYY88 10 4.000.820.130.52Tomlin, JCLE12 74.250.540.150.48Pavano, CMIN9134.300.460.100.55Danks, JCWS812 4.330.790.110.52Guthrie, JBAL9174.330.630.130.54Lewis, CTEX14104.400.840.170.51Scherzer, MDET1594.430.890.150.52Davis, WTB11104.450.570.130.52Porcello, RDET1494.750.570.100.57An estimated regression equation was developed to predict the average number of runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitched (SO/IP) and the average number of home runs per inning pitched (HR/IP).R/IP = 0.5365 - 0.2483 SO/IP + 1.032 HR/IP (a) Use the F test to determine the overall significance of the relationship.State the null and alternative hypotheses.O H,: B, - B2 = 0H: All the parameters are not equal to zero.O Ho: One or more of the parameters is not equal to zero.H: B, = 82 = 0O Ho: Bo - 0H: 80 = 0O H;: Bo *0H: Bo = 0O Ho: B, = 82 = 0H: One or more of the parameters is not equal to zero.Calculate the test statistic. (Round your answer to two decimal places.)Calculate the p-value. (Round your answer to three decimal places.)p-value =What is your conclusion at the 0.05 level of significance?O Reject H,. There is sufficient evidence to conclude that there is a significant overall relationship.O Reject H,. There is insufficient evidence to conclude that there is a significant overall relationship.O Do not reject H.. There is sufficient evidence to conclude that there is a significant overall relationship.O Do not reject H.. There is insufficient evidence to conclude that there is a significant overall relationship.(b) Use the t test to determine the significance of SO/IP.State the null and alternative hypotheses.O Ho: B, 2 0H: B, < 0O Ho: B, - 0H: B, + 0O Ho: B, s0H: B, > 0O H;: B, + 0H: 8, = 0O Ho: B = 0H: B, > 0Find the value of the test statistic for 8,. (Round your answer to two decimal places.)Find the p-value for 8,. (Round your answer to three decimal places.)p-value =

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Description: A statistical program is recommended.Data showing the values of several pitching statistics for a random sample of 20 pitchers from the American League of Major League Baseball is provided.Playerso/IP HR/IPR/IPTeamLERAVerlander, JDET2452.401.000.100

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Math

Statistics

A statistical program is recommended. Data showing the values of several pitching statistics for a random sample of 20 pitchers from the American League of Major League Baseball is provided.

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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Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Question

A statistical program is recommended.
Data showing the values of several pitching statistics for a random sample of 20 pitchers from the American League of Major League Baseball is provided.
Player
so/IP HR/IP
R/IP
Team
L
ERA
Verlander, J
DET
24
5
2.40
1.00
0.10
0.29
Beckett, J
BOS
13
7
2.89
0.91
0.11
0.34
Wilson, C
TEX
16 7
2.94
0.92
0.07
0.40
Sabathia, C
NYY
19 8
3.00
0.97
0.07
0.37
Haren, D
LAA
16 10 3.17
0.81
0.08
0.38
McCarthy, B
OAK
9
9
3.32
0.72
0.06
0.43
Santana, E
LAA
11
12
3.38
0.78
0.11
0.42
Lester, J
BOS
15
9
3.47
0.95
0.10
0.40
Hernandez, F
SEA
14
14
3.47
0.95
0.08
0.42
Buehrle, M
CWs
13
9
3.59
0.53
0.10
0.45
Pineda, M
SEA
9
10
3.74
1.01
0.11
0.44
Colon, B
NYY
8
8 10 4.00
0.82
0.13
0.52
Tomlin, J
CLE
12 7
4.25
0.54
0.15
0.48
Pavano, C
MIN
9
13
4.30
0.46
0.10
0.55
Danks, J
CWS
8
12 4.33
0.79
0.11
0.52
Guthrie, J
BAL
9
17
4.33
0.63
0.13
0.54
Lewis, C
TEX
14
10
4.40
0.84
0.17
0.51
Scherzer, M
DET
15
9
4.43
0.89
0.15
0.52
Davis, W
TB
11
10
4.45
0.57
0.13
0.52
Porcello, R
DET
14
9
4.75
0.57
0.10
0.57
An estimated regression equation was developed to predict the average number of runs given up per inning pitched (R/IP) given the average number of strikeouts per inning pitched (SO/IP) and the average number of home runs per inning pitched (HR/IP).
R/IP = 0.5365 - 0.2483 SO/IP + 1.032 HR/IP

(a) Use the F test to determine the overall significance of the relationship.
State the null and alternative hypotheses.
O H,: B, - B2 = 0
H: All the parameters are not equal to zero.
O Ho: One or more of the parameters is not equal to zero.
H: B, = 82 = 0
O Ho: Bo - 0
H: 80 = 0
O H;: Bo *0
H: Bo = 0
O Ho: B, = 82 = 0
H: One or more of the parameters is not equal to zero.
Calculate the test statistic. (Round your answer to two decimal places.)
Calculate the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion at the 0.05 level of significance?
O Reject H,. There is sufficient evidence to conclude that there is a significant overall relationship.
O Reject H,. There is insufficient evidence to conclude that there is a significant overall relationship.
O Do not reject H.. There is sufficient evidence to conclude that there is a significant overall relationship.
O Do not reject H.. There is insufficient evidence to conclude that there is a significant overall relationship.
(b) Use the t test to determine the significance of SO/IP.
State the null and alternative hypotheses.
O Ho: B, 2 0
H: B, < 0
O Ho: B, - 0
H: B, + 0
O Ho: B, s0
H: B, > 0
O H;: B, + 0
H: 8, = 0
O Ho: B = 0
H: B, > 0
Find the value of the test statistic for 8,. (Round your answer to two decimal places.)
Find the p-value for 8,. (Round your answer to three decimal places.)
p-value =

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