A real estate agent working in a large city believes that, for three-bedroom houses, the selling price of the house decreases by approximately $2,000 for every mile increase in the distance of the house from the city center. To investigate the belief, the agent obtained a random sample of 20 three-bedroom houses that sold in the last year. The selling price, in thousands of dollars, and the distance from the city center, in miles, for each of the 20 houses are shown in the scatterplot. The table shows computer output from a regression analysis of the data. Predictor CoefCoef SE CoefSE Coef TT

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 38E
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A real estate agent working in a large city believes that, for three-bedroom houses, the selling price of the house decreases by approximately $2,000 for every mile increase in the distance of the house from the city center. To investigate the belief, the agent obtained a random sample of 20 three-bedroom houses that sold in the last year. The selling price, in thousands of dollars, and the distance from the city center, in miles, for each of the 20 houses are shown in the scatterplot. The table shows computer output from a regression analysis of the data.

Predictor CoefCoef SE CoefSE Coef TT PP
Constant 301.7301.7 1.801.80 167.17167.17 0.0000.000
Distance −2.158−2.158 0.1490.149 −14.45−14.45 0.0000.000
 

S=4.4336S=4.4336

  R-sq=92.1%

 Assume all conditions for inference are met. Construct and interpret a 95 percent confidence interval for the slope of the least-squares regression line.

$310 T
$300
$290
$280
$270 -
$260
$250
ㅇ
+
10
15
20
25
Distance from City Center (miles)
Selling Price (thousands)
LO
Transcribed Image Text:$310 T $300 $290 $280 $270 - $260 $250 ㅇ + 10 15 20 25 Distance from City Center (miles) Selling Price (thousands) LO
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