Question

Use the given data set to complete parts​ (a) through​ (c) below.​ (Use a=​0.05.)

X: 10 8 13 9 11 14 6 4 12 7 5

Y: 9.14 8.15 8.74 8.78 9.26 8.11 6.13 3.11 9.13 7.26 4.74  

The linear correlation coefficient is r=

Determine whether there is sufficient evidence to support the claim of a linear correlation between two variables.

Identify the feature of the data that would be missed if part b was completed with out the construction of the scatter plot.

Answer 1

linear correlation coefficient is r= 0.816

for test statistic is in rejection region; we reject null hypothesis and conclude that there is sufficient evidence to support the claim of a linear correlation between two variables

with out the construction of the scatter plot we will failed to notice that data point shows a pattern which is not llinear