A sports analyst for the National Basketball Association wonders whether there is a relationship between a basketball player's average points per game (PPG) and his average minutes per game (MPG). The accompanying table sts a portion of the data that he collected for ten players. (You may find it useful to reference the sable) Player PPG 36.2 35.4 31.4 31.7 10 25.6 35.2 Doicture Click here for the Excel Data File -1. Calculate the sample correlation coefficient between PPG and MPG (Round finel onswer to 4 decimal pleces) Sample correlation coeficient 6-2. Interpret the sample correlation coefficient between PPG and MPG.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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b. Specity the competing hypotheses in order to determine whether the population correlation between PPG and MPG is positive.
O Pry 0; Ha Py
OH Py e; Hat Py e
O Pay 0, MA Py
c-1. Calculate the value of the test statistic (Round final answer to 3 decimel places)
Test statstic
c-2. Find the p-volue.
O 0025 Picture pvalue <0.05
O pvalue 2010
O 0.05 DPicture p value <010
O pvalue <0.01
O 001 Picture pvalue < 0.025
d. At the 5% significance level, what is the conclusion to the test?
2 Finid the pvalue.
O 0025 Picture pvalue <005
O pvalue 2 010
O 00s Picture pvalue <010
O pvalue <0.01
Oa01Picture pvalue <0025
d. Al the 5% significance level, what is the conclusion to the test?
OReject H we can state PPG and MPG are positively correlated.
O Reject Ho we cannot state PPG and MPG are positively corelated
O Do not reject H, we can state PPG and MPG are positively conelated.
O Do not reject Ho we cannot state PPG and MPG are positively conelated
Transcribed Image Text:b. Specity the competing hypotheses in order to determine whether the population correlation between PPG and MPG is positive. O Pry 0; Ha Py OH Py e; Hat Py e O Pay 0, MA Py c-1. Calculate the value of the test statistic (Round final answer to 3 decimel places) Test statstic c-2. Find the p-volue. O 0025 Picture pvalue <0.05 O pvalue 2010 O 0.05 DPicture p value <010 O pvalue <0.01 O 001 Picture pvalue < 0.025 d. At the 5% significance level, what is the conclusion to the test? 2 Finid the pvalue. O 0025 Picture pvalue <005 O pvalue 2 010 O 00s Picture pvalue <010 O pvalue <0.01 Oa01Picture pvalue <0025 d. Al the 5% significance level, what is the conclusion to the test? OReject H we can state PPG and MPG are positively correlated. O Reject Ho we cannot state PPG and MPG are positively corelated O Do not reject H, we can state PPG and MPG are positively conelated. O Do not reject Ho we cannot state PPG and MPG are positively conelated
A sports analyst for the National Basketball Association wonders whether there is a relationship between a basketball player's average
points per game (PPG) and his average minutes per game (MPG). The accompanying table Iists a portion of the data that he collected
for ten players. (You may find it useful to reference the toble.)
PPG
31.4
31.7
MPG
36.2
35.4
Playen
2.
25.6
35.2
1e
Doicture Click here for the Excel Data File
a-1. Calculate the sample correlation coefficient between PPG and MPG. (Round finel onswer to 4 decimal places.)
Sample correlation coefficient
6-2. Interpret the sample correlation coefficient between PPG and MPG
O The cortelation coefficient indicates a positive linear relationship
O The correlation coefficient Indicates a negative linear relationship
O The correlation coefficient indicates no linear relationship.
b. Specify the competing hypotheses in order to determine whether the population correlation between PPG and MPG Is positive.
Diaw
rage Layout
Formulas
U PROTECTED VIEW Be careful-files from the Internet can conta
F9
A
IC
1 Player
PPG
MPG
2 1
31.4
36.2
3 2
31.7
35.4
4 3
29.8
34
4
29
35.1
28.9
34.1
6.
28.4
36.8
8 7
25.8
36.3
9 8
25.8
32.5
10 9
25.7
35.9
11 10
25.6
35.2
12
617
Transcribed Image Text:A sports analyst for the National Basketball Association wonders whether there is a relationship between a basketball player's average points per game (PPG) and his average minutes per game (MPG). The accompanying table Iists a portion of the data that he collected for ten players. (You may find it useful to reference the toble.) PPG 31.4 31.7 MPG 36.2 35.4 Playen 2. 25.6 35.2 1e Doicture Click here for the Excel Data File a-1. Calculate the sample correlation coefficient between PPG and MPG. (Round finel onswer to 4 decimal places.) Sample correlation coefficient 6-2. Interpret the sample correlation coefficient between PPG and MPG O The cortelation coefficient indicates a positive linear relationship O The correlation coefficient Indicates a negative linear relationship O The correlation coefficient indicates no linear relationship. b. Specify the competing hypotheses in order to determine whether the population correlation between PPG and MPG Is positive. Diaw rage Layout Formulas U PROTECTED VIEW Be careful-files from the Internet can conta F9 A IC 1 Player PPG MPG 2 1 31.4 36.2 3 2 31.7 35.4 4 3 29.8 34 4 29 35.1 28.9 34.1 6. 28.4 36.8 8 7 25.8 36.3 9 8 25.8 32.5 10 9 25.7 35.9 11 10 25.6 35.2 12 617
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