1. An agent for a residential real estate company in a large city would like to be able to predict the monthly rental cost for apartments, based on the size of an apartment, as defined by square footage. The agent selects a sample of 25 apartments in a particular residential neighborhood and gathers the following data a. determine the coefficient of determination, and interpret its meaning. b. determine the standard error of the estimate. c. How useful do you think this regression model is for predicting the monthly rent?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 66E
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1. An agent for a residential real estate company in a large city would like to be able to predict the monthly rental cost for apartments, based on the size of an apartment, as defined by square footage. The agent selects a sample of 25 apartments in a particular residential neighborhood and gathers the following data a. determine the coefficient of determination, and interpret its meaning. b. determine the standard error of the estimate. c. How useful do you think this regression model is for predicting the monthly rent?
Rent
Size (Square Feet)
850
1,450
1,085
1,232
950
1,600
1,200
1,500
950
718
1,700
1,485
1,650
935
1,136
726
875
700
1,150
1,400
956
1,100
1,285
1,650
2,300
1,800
1,400
1,450
1,100
1,985
1,369
1,175
1,225
1,245
1,259
1,700
1,200
1,150
896
1,150
1,600
1,361
1,040
1,650
1,200
755
800
1,000
1,200
1,750
Transcribed Image Text:Rent Size (Square Feet) 850 1,450 1,085 1,232 950 1,600 1,200 1,500 950 718 1,700 1,485 1,650 935 1,136 726 875 700 1,150 1,400 956 1,100 1,285 1,650 2,300 1,800 1,400 1,450 1,100 1,985 1,369 1,175 1,225 1,245 1,259 1,700 1,200 1,150 896 1,150 1,600 1,361 1,040 1,650 1,200 755 800 1,000 1,200 1,750
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