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 = 1.168x + 50.429.

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 $766?

Question

Mathematics

Brindle

7 September, 17:38

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 = 1.168x + 50.429.

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 $766?

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Answers (1)

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Santos Gentry · Answer 1

Since the equation is y = 1.168x + 50.429 and you know that the cost of a one bedroom apartment is 766$ you can substitute that in for x.

Two bedroom apartment cost = (1.168) (766) + 50.429

Two bedroom cost = 945$