Use the given data to find the best predicted value of the response variable. ten pairs of data yield requals0.003 and the regression equation modifyingabove y with caret equals2plus3x. also, y overbarequals5.0. what is the best predicted value of y for xequals2?

Step-by-step explanation:

Data given

r=0.003 represent the correlation coefficient

represent the sample mean for the y observations

Solution to the problem

We assume that they use least squares in order to find the best regression model. The slope is given by the following formula:

Where:

And the slope on this case is:

Nowe we can find the means for x and y like this:

And we can find the intercept using this:

So the line would be given by:

And the best predicted value for x=2 would be: