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=0.01. 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 117 205 241 201 201 189 Click here to view a table of critical values for the correlation coefficient. Construct a scatterplot. Choose the correct graph below. A. B. C. Aweight ( kg) 300 D. Aweight (kg) 300- weight (kg) Weight (kg) a a 300 300 100 100 100- 1001 10 width (cm) width (cm) width (cm) width (cm) RA The linear correlation coefficient ris - (Round to three decimal places as needed.) na The critical values are r= (Round to three decimal places as needed. Use a comma to separate answers as needed.) ud 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 c = 0.01.

Answer 1

2 The given data is, Over head width()/ 7.2 Weight 7.8 g. 7 9.4 8.7 8.3 117 205 2 4 1 201 201 189 so, observation = 6. number of paired a If we draw scattor plot with "overhead width" as x and "weight" as y The we get a graph like, Joo Weight Х 10 ㅋ width the graph B This graph looks like Correct glaph. so B is the n 1 n I=1 The correlation coefficient (ro) 3 (xian) (yi-ý where h and g VI ² (xi-n72 Nie mean of x andy. so p = 2 (xi-A) (4-7) =1 + Ž (Ji-ý) 2 nici ni=1 T(48).