Question

After door-to-door canvassing, census workers determine the number of unoccupied homes. The table shown to the
right lists the number of homes, in millions, that were unoccupied in four census years.
Answer questions a through c.

Answer 1

The exponential regression equation of the census predicts the number of unoccupied homes

The exponential regression equation is y = 5.247256 * 1.033157^x

How to determine the exponential regression equation?

The dataset is given as:

x      y

0     5.3

10    7.3

20   9.7

30   14.3

To determine the exponential regression equation, we make use of a graphing calculator.

The calculation summary from the graphing calculator are:

• Regression Equation:  y = 5.247256 * 1.033157^x
• Correlation: r = 0.998002
• R-squared: r^2 = 0.996008

Hence, the exponential regression equation is y = 5.247256 * 1.033157^x

Read more about regression equations at:

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