Question

A researcher found the average cost of one and two-bedroom apartments for different cities and graphed the data in a scatter plot, with costs of one-bedroom apartments along the x-axis. The variables have a strong linear correlation and the equation for the regression line is yˆ=1.182x+19.096 .

Based on the equation, what should the researcher expect for the average cost of a two-bedroom apartment in a city where the average cost of a one-bedroom apartment is $815?

Answer 1

About $982.

Explanation:

The average cost is:

`y = 1.182x + 19.096`

When the cost of a one-bedroom apartment is 815, we have
`x = 815`, so we should expect the cost to be:

`y = 1.182(815) + 19.066 = 982.4`

So:

About $982.