1) Check Images 2) The linear correlation coefficient is r= ​(Round to three decimal places as​ needed.)   3) Determine the null and alternative hypotheses. H0​: ρ H1​: ρ

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 11CT
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Question

1) Check Images

2)

The linear correlation coefficient is r=

​(Round to three decimal places as​ needed.)

 

3)

Determine the null and alternative hypotheses.

H0​: ρ

H1​: ρ

​(Type integers or decimals. Do not​ round.)

 

4)

The test statistic is t=

​(Round to three decimal places as​ needed.)

 

5)

The​ P-value is

​(Round to three decimal places as​ needed.)

 

6)

Because the​ P-value of the linear correlation coefficient is?             the significance​ level, there?              sufficient evidence to support the claim that there is a linear correlation between the heights of winning presidential candidates and the heights of their opponents.

 

7)

Should we expect that there would be a​ correlation?

  1. Yes, because presidential candidates are nominated for reasons other than height.
  2. Yes, because height is the main reason presidential candidates are nominated.
  3. No, because height is the main reason presidential candidates are nominated.
  4. No, because presidential candidates are nominated for reasons other than height.
Media periodically discuss the issue of heights of winning presidential candidates and heights of their main opponents. The accompanying table lists the heights (cm) from several recent presidential elections. Construct a
scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there
would be a correlation? Use a significance level of a = 0.05.
E Click the icon to view the heights of the candidates.
.....
Construct a scatterplot. Choose the correct graph below.
O A.
OB.
OC.
O D.
Q
5 200-
E 200-
E 200-
200-
160+
160
President Height (cm)
160+
160
President Height (cm)
160+
160
President Height (cm)
160+
160
President Height (cm)
200
200
200
200
Opponent Height (cm)
Opponent Height (cm)
Opponent Height (cm)
Transcribed Image Text:Media periodically discuss the issue of heights of winning presidential candidates and heights of their main opponents. The accompanying table lists the heights (cm) from several recent presidential elections. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be a correlation? Use a significance level of a = 0.05. E Click the icon to view the heights of the candidates. ..... Construct a scatterplot. Choose the correct graph below. O A. OB. OC. O D. Q 5 200- E 200- E 200- 200- 160+ 160 President Height (cm) 160+ 160 President Height (cm) 160+ 160 President Height (cm) 160+ 160 President Height (cm) 200 200 200 200 Opponent Height (cm) Opponent Height (cm) Opponent Height (cm)
President
174 179 187 175 177 185 190 181
181
190 192 182 185 188 O
Opponent
175 175 177 169 174 186
185 175 184 178 171
183 185
171
Transcribed Image Text:President 174 179 187 175 177 185 190 181 181 190 192 182 185 188 O Opponent 175 175 177 169 174 186 185 175 184 178 171 183 185 171
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