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 7.0 7.5 9.7 8.8 8.4 Weight 106 177 241 200 205 192 Click here to view a table of critical values for the correlation coefficient Construct a scatterplot. Choose the correct graph below. A Ов, c. 300- 3001 OD A 3004 300- 100 100 100 100

#8. 10.1

Answer 1

Answer Date: 31/07/2020 The scatterplot between overhead width and weight is, By using Excel software, draw scatterplot with the help of following steps: 1) Import the data. 2) Select the MegaStat from Add-Ins option. 3) Select the Scatterplot from Regression. 4) Select data input. 5) Click Ok.

Scatterplot of Overhead width and Weight 260 240 220 200 Weight 180 160 140 120 100 H 6 7 9 10 8 Overhead width The answer is D The linear correlation coefficient (r)is,

By using Excel software, find correlation coefficient with help of following steps: 1) Import the data. 2) Select Data Analysis from Data menu. 3) Select Correlation and click Ok. 4) Select Input range. 5) Click Labels in First Row. 6) Click Ok. Overhead width Weight Overhead width Weight 1 0.89582408 1 From the Excel output, the linear correlation coefficient (r) is 0.896. The r critical values are, From correlation coefficient (r) critical value table, show the sample size 6 and level if significance 0.05 and r critical values are - 0.811, 0.811

Because the absolute value of the linear correlation coefficient 0.896 is greater than the positive critical value of 0.811, there is 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.