The rental of an apartment (R) near campus is a function of the square footage (Sq). A random sample of apartments near campus yielded the following summary statistics: R= $350, Sq = 100, 8R = $ 30, and $ 54 = 10. Suppose also that the correlation between price and weight is 0.8. (a) Write the implied least squares linear regression equation. (b) Suppose an apartment has 75 sqft. Predict its price based on the above model. (c) Suppose the true rental of the apartment in part (b) is $ 325. What is the value of the residual?

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The rental of an apartment (R) near campus is a function of the square
footage (Sq). A random sample of apartments near campus yielded the
following summary statistics:
R= $350, Sq = 100, sR = $ 30, and 8 są = 10. Suppose also that the
correlation between price and weight is 0.8.
(a) Write the implied least squares linear regression equation.
(b) Suppose an apartment has 75 sqft. Predict its price based on the
above model.
(c) Suppose the true rental of the apartment in part (b) is $ 325. What is
the value of the residual?
Transcribed Image Text:The rental of an apartment (R) near campus is a function of the square footage (Sq). A random sample of apartments near campus yielded the following summary statistics: R= $350, Sq = 100, sR = $ 30, and 8 są = 10. Suppose also that the correlation between price and weight is 0.8. (a) Write the implied least squares linear regression equation. (b) Suppose an apartment has 75 sqft. Predict its price based on the above model. (c) Suppose the true rental of the apartment in part (b) is $ 325. What is the value of the residual?
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