You run a regression analysis on a bivariate set of data

Question

You run a regression analysis on a bivariate set of data (n=79). You obtain the regression equation y=3.362⁢x+-24.355with a correlation coefficient of r=0.725 (which is significant at a=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 10 on the response variable.

What is the predicted explanatory value?

Report the answer accurate to one decimal place.

Answer 1

Hi Emma,

Recall that explanatory variable is x--a mnemonic is: explanatory--x-axis--and response is y or, if a prediction, y^. You were given 10 for the response, so plug that into the regression equation:

10 = 3.362x - 24.355

34.355 = 3.362x

x= 10.2

I hope this helps.