Question

Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) X 8 10 9.14 13 8.75 9 8.78 11 9.26 14 8.11 6 6.13 4 3.11 12 9.13 7 7.26 5 4.74 y 8.13 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. OA. OB. OC. OD. AY 10 Ау 10- 8- AY 10- 8- 6- 4- 6- ......... 8- 6- 4- AY 104 8- 6- 4- 2- 4 . 2 2- 2- 0- 0- 0 0- 4 8 12 8 12 16 12 16 og 12 16 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. Click to select your answer(s). ?

Answer 1

using minitab>graph>scatterplot

we have

Scatterplot of y vs x 10 8 6 у 2 0 0 8 12 16 х

a ) option D is true

b ) using minitab>stat>correlation

we have

Correlation: x, y

Pearson correlation of x and y = 0.817
P-Value = 0.002

the linear correlation coefficient r = 0.817

since p value is less than 0.05 so there is sufficient evidence to support the claim of linear correlation between two variable.