ed on the size of the apartment as defined by square footage. A sample of 25 apartments rent in a particular college rental neighborhood was selected, and the information collected revealed the following (see attached image) Construct a 95% confidence interval estimate of the population slope B1.  Don’t forget to interpret the interval.  Always declare the meaning of B1 when we test or estimate the slope parameter…use b1 ± t α/2,n-2 (Sb1). Determine a 95% interval estimate for the average ren

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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An agent for a property management company would like to be able to predict the monthly rental cost for apartments based on the size of the apartment as defined by square footage. A sample of 25 apartments rent in a particular college rental neighborhood was selected, and the information collected revealed the following (see attached image)

Construct a 95% confidence interval estimate of the population slope B1.  Don’t forget to interpret the interval.  Always declare the meaning of B1 when we test or estimate the slope parameter…use b1 ± t α/2,n-2 (Sb1).

Determine a 95% interval estimate for the average rent of apartments with 1000 square feet.  Determine ŷ1000 and interpret the interval estimate for the average rent completely.

 

 

Apartment
1
2
3
4
5
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Monthly Rent ($)
950
1,600
1,200
1,500
950
1,700
1,650
935
875
1,150
1,400
1,650
2,300
1,800
1,400
1,450
1,100
1,700
1,200
1,150
1,600
1,650
1,200
800
1,750
Size (Sq. Ft.)
850
1,450
1,085
1,232
718
1,485
1,136
726
700
956
1,100
1,285
1,985
1,369
1,175
1,225
1,245
1,259
1,150
896
1,361
1,040
755
1,000
1,200
Transcribed Image Text:Apartment 1 2 3 4 5 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 Monthly Rent ($) 950 1,600 1,200 1,500 950 1,700 1,650 935 875 1,150 1,400 1,650 2,300 1,800 1,400 1,450 1,100 1,700 1,200 1,150 1,600 1,650 1,200 800 1,750 Size (Sq. Ft.) 850 1,450 1,085 1,232 718 1,485 1,136 726 700 956 1,100 1,285 1,985 1,369 1,175 1,225 1,245 1,259 1,150 896 1,361 1,040 755 1,000 1,200
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