Listed below are the overhead widths (in cm) of seals measured from photographs
ID: 3255610 • Letter: L
Question
Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals Construct a scatter plot find the value of the linear correlation coefficient r and find the critical values of using 005 Is there sufficient evidence to conclude that there is linear correlation between overhead widths of seals from photographs and the weights of the seals? Construct a scale plot. Choose the comment graph below. The linear correlation coefficient is r (Round to three decimal places as needed.) The critical values are (Round to three decimal places as needed Use a comma to separate answers as needed) Because the absolute value of the linear correlation coefficient than the positive critical value, there from photographs and the weights of the seals for a senescence level of alpha = 005.Explanation / Answer
X = Overhead Width
Y = Weight
x
y
7
106
7.6
193
9.8
250
9.2
196
8.6
195
8.4
195
Construct a scatterplot.
Answer: Graph C
We use excel function to find the value of correlation r,
=correl(data set)
= 0.865
Answer: The correlation coefficient r is 0.865
Degrees of freedom = n – 2
= 6 – 2
= 4
At 5% level of significance for 4 degrees of freedom from critical r table we get the critical r as 0.811
Answer: The critical values are r = (-0.811, +0.811)
Our calculated value of r is 0.865 which is greater than 0.811 (critical r); we reject null hypothesis.
Answer: Because the absolute value of the linear coefficient is greater than the positive critical value, there is sufficient evidence to support the claim that there is a linear correlation between overhead width from photographs and the weights of the seals for a significance level of a 0.05.
x
y
7
106
7.6
193
9.8
250
9.2
196
8.6
195
8.4
195
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