nt] Hypotheses • Null hypothesis Hois stated as - Alternative hypothesis H is stated as The value of an appropriate test statistic equals to he degrees of freedom equal to 4. [1 value equals to 5. Reject region is 6. [1 puii, Ne I (reject or fail to reject) the null hypothesis at a - 0.1 level of significance. It (is or is not) evident that the total number of runs scored are expected to increase as the number of stolen bases increases when all others are held constant.

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Test the hypothesis that the total number of runs scored are expected to increase as the number of stolen
bases (x6) increases when all others are held constant at the a = 10% level of significance.
ht] Hypotheses
1.
• Null hypothesis Hois stated as
• Alternative hypothesis Hjis stated as
2
The value of an appropriate test statistic equals to
3.
he degrees of freedom equal to
4. [1at value equals to
5.
Reject region is
6. [1 puii, Ne
I (reject or fail to reject) the null hypothesis at a = 0.1 level of significance.
It
(is or is not) evident that the total number of runs scored are expected to increase as
the number of stolen bases increases when all others are held constant.
Transcribed Image Text:Test the hypothesis that the total number of runs scored are expected to increase as the number of stolen bases (x6) increases when all others are held constant at the a = 10% level of significance. ht] Hypotheses 1. • Null hypothesis Hois stated as • Alternative hypothesis Hjis stated as 2 The value of an appropriate test statistic equals to 3. he degrees of freedom equal to 4. [1at value equals to 5. Reject region is 6. [1 puii, Ne I (reject or fail to reject) the null hypothesis at a = 0.1 level of significance. It (is or is not) evident that the total number of runs scored are expected to increase as the number of stolen bases increases when all others are held constant.
Consider a multiple regression model for predicting the total number of runs scored by a Major
LeagueBaseball (MLB) team during a season. Using data on number of walks (x), singles (x2), doubles (x).
triples (x4), home runs (xs), stolen bases (x6), times caught stealing (x7), strike-outs (xg), and ground outs (x)
for each of the 30 teams during the 2017 MLB season, a first-order model for total number of runs scored (y)
was fit.
Test the hypothesis that the total number of runs scored are expected to increase as the number of stolen
bases (x6) increases when all others are held constant at the a = 0.10 level of significance.
The selected results are shown in the SAS printout below.
Parameter Estimates
Parameter
Estimate
Standard
Variable
DF
Error
t Value Pr > |t|
Intercept
1
-709.08219
172.05365
-4.12 0.0005
WALKS
0.39676
0.08321
4.77 0.0001
SINGLES
1
0.61766
0.10045
6.15 <.0001
DOUBLES
1
0.81917
0.18415
4.45 0.0002
TRIPLES
1
0.75569
0.53303
1.42 0.1717
HOMERUNS
1
1.56115
0.21940
7.12 <.0001
STOLEBASES
1
0.08922
0.24762
0.36 0.7224
CAUGHTSTEAL
1
1.07961
0.84875
1.27
0.2180
STRIKEOUTS
1
0.01750
0.05126
0.34
0.7363
GRNDOUTS
1
0.04217
0.06313
0.67
0.5119
Transcribed Image Text:Consider a multiple regression model for predicting the total number of runs scored by a Major LeagueBaseball (MLB) team during a season. Using data on number of walks (x), singles (x2), doubles (x). triples (x4), home runs (xs), stolen bases (x6), times caught stealing (x7), strike-outs (xg), and ground outs (x) for each of the 30 teams during the 2017 MLB season, a first-order model for total number of runs scored (y) was fit. Test the hypothesis that the total number of runs scored are expected to increase as the number of stolen bases (x6) increases when all others are held constant at the a = 0.10 level of significance. The selected results are shown in the SAS printout below. Parameter Estimates Parameter Estimate Standard Variable DF Error t Value Pr > |t| Intercept 1 -709.08219 172.05365 -4.12 0.0005 WALKS 0.39676 0.08321 4.77 0.0001 SINGLES 1 0.61766 0.10045 6.15 <.0001 DOUBLES 1 0.81917 0.18415 4.45 0.0002 TRIPLES 1 0.75569 0.53303 1.42 0.1717 HOMERUNS 1 1.56115 0.21940 7.12 <.0001 STOLEBASES 1 0.08922 0.24762 0.36 0.7224 CAUGHTSTEAL 1 1.07961 0.84875 1.27 0.2180 STRIKEOUTS 1 0.01750 0.05126 0.34 0.7363 GRNDOUTS 1 0.04217 0.06313 0.67 0.5119
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