Question

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

x	y
107.8	-31.6
73.5	10.7
102	-13.1
44.7	66.8
89.7	2.9
72.7	46.1
76.4	6.7
76.1	22.6
92.2	-0.7
85.4	11.7
98	-8.2
89.8	1.9
66.2	77.1
80.6	21.3
43.4	92.9

Verify that the correlation is significant at an α=0.05α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of -4.3 on the response variable.

What is the predicted explanatory value?
x =

Answer 1

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The scatter plot and the linear regression line of best-fit is given below:

The equation is :

y' = -1.755x + 160.7, where y = -4.3 in our case

-4.3 = -1.755x+160.7

x = (-4.3-160.7)/(-1.755) = 94.017

Answer: x = 94.017