Question

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

x	y
10	7.46
8	6.78
13	12.74
9	7.12
11	7.82
14	8.83
6	6.07
4	5.39
12	8.15
7	6.43
5	5.74

a. 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.

r = _____.

b. Identify the feature of the data that would be missed if part (a) was completed without constructing the scatterplot.

Answer 1

a)

correlation coefficient r=

Sxy/(√Sxx*Syy) =

0.816

since absolute value of correlation coefficient is greater than critical value 0.602 at 0.05 level there is sufficient evidence to support the claim of a linear correlation between the two variables.

b)

there is a strong correlation between variables except there is one outlier.