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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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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 a = 0.05. 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?
Overhead Width
Weight
Click here to view a table of critical values for the correlation coefficient.
n
300
Aweight (kg) Q
100+
7
width (cm)
10
Q
7.1
111
7.7
172
9.6
239
Aweight (kg)
300+
100+
The linear correlation coefficient is r=
(Round to three decimal places as needed.)
9.4
204
+
width (cm)
10
8.6
196
Q
8.1
183
Aweight (kg)
300-
100
7
width (cm)
10
Q
Aweight (kg)
300-
100+
width (cm)
10
Q
Transcribed Image Text: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 a = 0.05. 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? Overhead Width Weight Click here to view a table of critical values for the correlation coefficient. n 300 Aweight (kg) Q 100+ 7 width (cm) 10 Q 7.1 111 7.7 172 9.6 239 Aweight (kg) 300+ 100+ The linear correlation coefficient is r= (Round to three decimal places as needed.) 9.4 204 + width (cm) 10 8.6 196 Q 8.1 183 Aweight (kg) 300- 100 7 width (cm) 10 Q Aweight (kg) 300- 100+ width (cm) 10 Q
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.
Transcribed Image Text: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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