The St. Lucian Government is interested in predicting the number of weekly riders on the public buses using the following variables: • • • • Price of bus trips per week The population in the city The monthly income of riders Average rate to park your personal vehicle Determine the multiple regression equation for the data.  What is the predicted value of the number of weekly riders if: price of bus trips per week = $24; population = $2,000,000; the monthly income of riders = $13,500; and average rate to park your personal vehicle = $150.  Interpret the coefficient of determination

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section11.1: Measures Of Center And Variation
Problem 3E
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The St. Lucian Government is interested in predicting the number of weekly riders on the public buses using the following variables:

• • • •

Price of bus trips per week
The population in the city
The monthly income of riders
Average rate to park your personal vehicle

  1. Determine the multiple regression equation for the data. 

  2. What is the predicted value of the number of weekly riders if: price of bus trips per week = $24; population = $2,000,000; the monthly income of riders = $13,500; and average rate to park your personal vehicle = $150. 

  3. Interpret the coefficient of determination.

Number of weekly
Population of
city
1,800,000
1,790,000
1,780,000
1,778,000
1,750,000
1,740,000
1,725,000
1,725,000
1,720,000
1,705,000
1,710,000
Monthly income of
riders
Price per
City
Average parking rates per
month
riders
week
$5,800
$6,200
$6,400
$6,500
$6,550
$6,580
$8,200
$8,600
$8,800
$9,200
$9,630
1
$15
$50
192,000
190,400
191,200
177,600
176,800
178,400
180,800
175,200
174,400
2
$15
$50
3
$15
$60
$60
$60
4
$25
5
$25
$25
$70
7
$25
$75
8.
$30
$75
$30
$75
10
173,920
$30
$80
11
172,800
$30
$80
$40
$10,570
$11,330
12
$80
163,200
161,600
161,600
160,800
159,200
148,800
115,696
147,200
150,400
152,000
136,000
126,240
1,700,000
1,695,000
1,695,000
1,690,000
1,630,000
1,640,000
1,635,000
1,630,000
1,620,000
1,615,000
1,605,000
1,590,000
1,595,000
1,590,000
1,600,000
13
$40
$85
$40
$11,600
$11,800
$11,830
14
$100
15
$40
$105
16
$40
$105
$65
$12,650
$13,000
$13,224
$13,766
$14,010
$14,468
$15,000
$15,200
$15,600
$16,000
17
$105
18
$102
$110
19
$75
$125
20
$75
$130
21
$75
$150
22
$80
$155
23
$86
$165
24
$98
$175
123,888
126,080
25
$87
$175
26
151,680
$77
$190
Transcribed Image Text:Number of weekly Population of city 1,800,000 1,790,000 1,780,000 1,778,000 1,750,000 1,740,000 1,725,000 1,725,000 1,720,000 1,705,000 1,710,000 Monthly income of riders Price per City Average parking rates per month riders week $5,800 $6,200 $6,400 $6,500 $6,550 $6,580 $8,200 $8,600 $8,800 $9,200 $9,630 1 $15 $50 192,000 190,400 191,200 177,600 176,800 178,400 180,800 175,200 174,400 2 $15 $50 3 $15 $60 $60 $60 4 $25 5 $25 $25 $70 7 $25 $75 8. $30 $75 $30 $75 10 173,920 $30 $80 11 172,800 $30 $80 $40 $10,570 $11,330 12 $80 163,200 161,600 161,600 160,800 159,200 148,800 115,696 147,200 150,400 152,000 136,000 126,240 1,700,000 1,695,000 1,695,000 1,690,000 1,630,000 1,640,000 1,635,000 1,630,000 1,620,000 1,615,000 1,605,000 1,590,000 1,595,000 1,590,000 1,600,000 13 $40 $85 $40 $11,600 $11,800 $11,830 14 $100 15 $40 $105 16 $40 $105 $65 $12,650 $13,000 $13,224 $13,766 $14,010 $14,468 $15,000 $15,200 $15,600 $16,000 17 $105 18 $102 $110 19 $75 $125 20 $75 $130 21 $75 $150 22 $80 $155 23 $86 $165 24 $98 $175 123,888 126,080 25 $87 $175 26 151,680 $77 $190
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  1. At the 5% significance level, does it appear that price of bus trips per week, population or average rate to park your personal vehicle

    can be removed from the model as unnecessary? In responding, construct and test any appropriate hypothesis.

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