Listed below are the overhead widths​ (in cm) of seals measured from photographs and the weights​ (in kg) of the seals. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the critical values of r using α=0.01.   Overhead width overhead weight 7.1 111 7.6 164 9.8 250 9.2 192 8.8 205 8.2 183 Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the​ seals?   The linear correlation coefficient is r=? ​(Round to three decimal places as​ needed.)   The linear correlation coefficient is r=? ​(Round to three decimal places as​ needed.)   The critical values are r=? ​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)   Because the absolute value of the linear correlation coefficient is ______ than the positive critical​ value, there _______ sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals for a significance level of α=0.05.

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 2CYU
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Listed below are the overhead widths​ (in cm) of seals measured from photographs and the weights​ (in kg) of the seals. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the critical values of r using

α=0.01.
 
Overhead width overhead weight
7.1 111
7.6 164
9.8 250
9.2 192
8.8 205
8.2 183

Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the​ seals?

 

The linear correlation coefficient is r=?
​(Round to three decimal places as​ needed.)
 
The linear correlation coefficient is r=?
​(Round to three decimal places as​ needed.)
 
The critical values are r=?
​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)
 
Because the absolute value of the linear correlation coefficient is
______ than the positive critical​ value, there _______ sufficient evidence to support the claim that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals for a significance level of
α=0.05.
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