Question

The least squares regression line for a set of data is calculated to be hat (y)=26.3+3.26x. One of the points in the data set is (3,34). Calculate the predicted value.

Answer 1

To calculate the predicted value using the least squares regression line, substitute the x-coordinate into the equation y=26.3+3.26x. The predicted value is y=36.08.

Step-by-step explanation:

To calculate the predicted value using the least squares regression line, we substitute the x-coordinate of the given point into the equation. The given point is (3,34), so we substitute x=3 into the equation y=26.3+3.26x.

Putting the values into the equation, we get:

y=26.3+3.26(3)

Performing the calculation, we get:

y=26.3+9.78

So the predicted value is:

y=36.08