Question

Here is a bivariate data set.

x	y
15.9	16.9
83.4	53.9
43.8	22.2
49.4	49.3
58.4	11.8
77.4	38.8
19.6	19.5

Find the correlation coefficient and report it accurate to three decimal places.
r =

What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place.
r² = %

2. Run a regression analysis on the following bivariate set of data with y as the response variable.

x	y
3.8	74.8
54.7	49.8
26.5	64.7
-7.8	86.8
22.6	56.6
60.7	36.1
39.3	54.3
-3.4	91.2
30.4	58.8
50.2	55.2
32	52.9

Verify that the correlation is significant at an α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 43.3 on the response variable.

What is the predicted explanatory value?
x =

(Report answer accurate to one decimal place.)

Answer 1

1.

r = 0.644

r² = 0.415

= 41.5 %