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Give the equation of the least-squares regression line. Define any variables you use.

Short Answer

Expert verified

The equation of the least-squares regression line is y^=-1.19311+0.0287280x.

Step by step solution

01

Given Information

02

Explanation

In the question that variable xbe the number of the years since 1700and the variable y be the U.S. population in the years 1790to 1880. Thus, the general equation will be as:

y^=a+bx

And the slope and the constant of the regression line is give in the previous question as:

a=-1.19311

b=0.0287280

Thus, the regression line is as:

y^=a+bx

⇒y^=-1.19311+0.0287280x

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