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
alphaαequals=0.01
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: 7.2, 7.6, 9.7, 9.2, 8.8, 8.2
Weight: 117, 197, 242, 197, 204, 287
Construct a scatter plot of the data:
What is the linear correlation coefficient r?:
What is the critical value:
Is the absolute value of the linear correlation coefficient less or greater than the positive critical value, and is there sufficient evidence to support the claim that there is a linear correlation between overhead widths from photographs and the weights of the seals for a significance level of 0.01?
Solution:
df = n - 2 = 6-2 = 4, look for critical values in r- table,
0.917 for α = 0.05. We take both signs for 2-tailed test
The critical values are r = -0.917, 0.917
Because the absolute value of the linear correlation coefficient is less than the positive critical value, we fail to reject null hypothesis, i.e., and there is not sufficient evidence to support the claim that there is a linear correlation between overhead widths from photographs and the weights of the seals for a significance level of 0.01
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights...
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 7.1 7.7 9.8 9.2 8.9 8.1 Weight 115 171...
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 7.1 7.6 9.7 9.2 8.8 8.2 2 Weight |...
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=0.01. 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 72 7.8 9.7 9.4 8.7 8.3 Weight 117 205 241 201...
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 alphaαequals=0.010.01. 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 7.17.1 7.77.7 9.69.6 9.49.4 8.88.8 8.18.1 Weight 112112 197197 241241 205205...
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= 0.05, is there sufficient evidence to conclude that there is a linear correlation between overhea widths of seals from photographs and the weights of the seals? 8.2 114 168 24693 209 183 9.8 9.2 8.9 Overhead Width 7.1...
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights of the seals (in kg). The purpose of the study was to determine if weights of seals could be determined from overhead photographs, Is there sufficient evidence to conclude that there is a correlation between overhead widths and the weights of the seals? Use a significance level of a 0.02. Assignr Study 9.8 8.8 8.4 7.3 8.7 Overhead width (cm) 7.6 177 174 196...
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partial credit, 10.1.23 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 alpha equals0.05 . 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 7.0 7.7 9.8 9.3 8.7 8.2...
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Listed below are he overhead widths n cm of sea s measured o m photographs and the weights n kg ofthe seals. Construct a sca e plat find the value of he linear correlation coe conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of tha saals? and find he critical values ofr using =0 05 s there s en evidence to cert Overhead Width 7 749.89.28.68.2 Weight Construct a scatterplot. Choose...