Given the least squares regression equation, y’ = 1202 + 1133x, when x = 3, what does y’ equal?

Solution:

The least-square method is the method of determining the best-fitting curve or line of best fit for a set of data points by reducing the sum of the squares of the offsets of the points from the curve.

During the process of determining the relationship among two variables, the trend of outcomes is quantitatively estimated. The process is known as regression analysis.

It is given that

y’ = 1202 + 1133x

When x = 3

y’ = 1202 + 1133 (3)

By further calculation we get

y’ = 1202 + 3399

y’ = 4601

Therefore, y’ equal to 4601.

Given the least squares regression equation, y’ = 1202 + 1133x, when x = 3, what does y’ equal?

Summary:

Given the least squares regression equation, y’ = 1202 + 1133x, when x = 3, y’ equals 4601.