Question

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 115 171 246 197 206 180 Click here to view a table of critical values for the correlation coefficient. Construct a scatterplot. Choose the correct graph below. OA. Aweight (kg) 300- OB. Aweight (kg) 300- OC. Aweight (kg) 300- OD Aweight (kg) 300- . 1007 100 100- 1007 10 10 width (cm) width (cm) width (cm) width (cm) The linear correlation coefficient r is (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 a=0.05.

Answer 1

	X	Y	XY	X​​​​​​2	Y​​​​​​2
	7.1	115	816.5	50.41	13225
	7.7	171	1316.7	59.29	29241
	9.8	246	2410.8	96.04	60516
	9.2	197	1812.4	84.64	38809
	8.9	206	1833.4	79.21	42436
	8.1	180	1458	65.61	32400
Sum =	50.8	1115	9647.8	435.2	216627

The correlation coefficient rr is computed using the following expression:

correlation coefficient r is 0.947 dif = n-2 = 6-2=4 The critical Value To test Ho : 8-0 Histo dof=4 L -0.05 we get, Critical value re-+0.81 if Irlr reject Home Reject Ho, Trico.997 > rc-0.84 Here reject Ho Because the absolute value of linear correlation coefficient is greater than the positive Critical value there is sufficient evidence to support the claim that there is linear correlation between Overhead widths of seals from photographs & the weights of the seals -0.05. for a significance level of

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