Question

Given the equation of a regression line is y=−1.5x− 1.8, what is the best predicted value for y given x=−3.0 ? Assume that the variables x and y have a significant correlation.

Answer 1

y = 2.7

Explanation:

Given that y = −1.5x− 1.8 is the line that best fits the data, an x value of -3.0 would be expected to produce a value of y of:

y = −1.5x− 1.8

y = −1.5(-3.0)− 1.8 [for x = -3.0]

y = + 4.5x − 1.8

y = 2.7