Question

You run a regression analysis on a bivariate set of data (n=101). With ¯x= 64.5 and ¯y= 30.7, you obtain the regression equation

y= −4.245x + 59.806

with a correlation coefficient of r= −0.594. You want to predict what value (on average) for the response variable will be obtained from a value of 70 as the explanatory variable.

What is the predicted response value?
y =

(Report answer accurate to one decimal place.)

Answer 1

solution:

the given regression equation is

Y = -4.245X + 59.806

where Y is the response variable and X is explanatory variable

we have to find the value of Y when value of X = 70

so putting the value of X in the equation

Y = -4.245(70) + 59.806

Y = -297.15 + 59.806

Y = -237.344

rounding to one decimal place

Y = -237.3