A County real estate appraiser wants to develop a statistical model to predict the appraised value of houses in a section of the county called East Meadow. One of the many variables thought to be an important predictor of appraised value is the number of rooms in the house. Consequently, the appraiser decided to fit the linear regression model: E(Y) = Bo + B1x, where Y is the appraised value of the house (in thousands of dollars) and X represents the number of rooms. Using data collected for a sample of n = 74 nouses in East Meadow, the following result was obtained: ĵ(x) = 74.80 + 19.72x Vhich of the following statements concerning the deterministic model, E(Y) = Bo + Bix is true? A plot of the predicted appraised values y(x) against the number of rooms X for the sample of houses in East Meadow would not result in a straight line. In theory, a plot of the mean appraised value E(Y) against the number of rooms X for the entire population of houses in east Meadow would result in a straight line. In theory, if the appraised values Y and number of rooms X for the entire population of houses in East Meadow were obtained and the (x, y) data points plotted, the points would fall in a straight line.

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A county real estate appraiser wants to develop a statistical model to predict the
appraised value of houses in a section of the county called East Meadow. One of the
many variables thought to be an important predictor of appraised value is the
number of rooms in the house. Consequently, the appraiser decided to fit the linear
regression model:
E(Y) = Bo + Bix,
%3D
where Y is the appraised value of the house (in thousands of dollars) and X
represents the number of rooms. Using data collected for a sample of n = 74
houses in East Meadow, the following result was obtained:
ŷ(x) = 74.80 + 19.72x
Which of the following statements concerning the deterministic model,
E(Y) = Bo + B1x is true?
A plot of the predicted appraised values y(x) against the number of rooms X for
the sample of houses in East Meadow would not result in a straight line.
In theory, a plot of the mean appraised value E(Y) against the number of
rooms X for the entire population of houses in east Meadow would result in a
straight line.
In theory, if the appraised values Y and number of rooms X for the entire
population of houses in East Meadow were obtained and the (x, y) data points
plotted, the points would fall in a straight line.
Transcribed Image Text:A county real estate appraiser wants to develop a statistical model to predict the appraised value of houses in a section of the county called East Meadow. One of the many variables thought to be an important predictor of appraised value is the number of rooms in the house. Consequently, the appraiser decided to fit the linear regression model: E(Y) = Bo + Bix, %3D where Y is the appraised value of the house (in thousands of dollars) and X represents the number of rooms. Using data collected for a sample of n = 74 houses in East Meadow, the following result was obtained: ŷ(x) = 74.80 + 19.72x Which of the following statements concerning the deterministic model, E(Y) = Bo + B1x is true? A plot of the predicted appraised values y(x) against the number of rooms X for the sample of houses in East Meadow would not result in a straight line. In theory, a plot of the mean appraised value E(Y) against the number of rooms X for the entire population of houses in east Meadow would result in a straight line. In theory, if the appraised values Y and number of rooms X for the entire population of houses in East Meadow were obtained and the (x, y) data points plotted, the points would fall in a straight line.
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