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...

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 %

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