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 ~er week • The population in the city • The monthly income of riders • Average rate to park your personal vehicle Number of weekly riders 192,000 190,400 191,200 Price per week Monthly income of riders Population of city 1,800,000 1,790,000 1,780,000 Average parking rates per month S50 S50 City $5,800 $6,200 $6,400 $15 $15 $15 $60 $6,500 $6.550 $6,580 $8.200 $8,600 $8.800 $9,200 177,600 176,800 178,400 $25 1,778,000 $60 $25 $60 1,750,000 1,740,000 $25 $70 $25 $30 S30 1,725,000 1,725,000 1,720,000 1,705,000 180,800 $75 175,200 174,400 $75 $75 10 173,920 $30 $80 1,710,000 1,700,000 $9,630 $10,570 $11,330 $11,600 $11,800 $11,830 $12,650 $13,000 11 172,800 163,200 $30 $80 12 $40 $80 13 161,600 161,600 160,800 $40 1,695,000 1,695,000 1,690,000 $85 14 $40 $100 15 $40 $105 16 159.200 $40 1,630,000 $105 S105 1,640,000 1,635,000 17 148,800 115,696 147,200 150,400 152,000 $65 18 s102 S110 $13,224 $13,766 $14,010 $14,468 $75 1,630,000 1,620,000 19 $125 20 S75 S75 $130 21 1,615,000 $150 $80 S86 $98 22 136,000 1,605,000 $155 1,590,000 1,595,000 1,590,000 1,600,000 $15,000 $15,200 S15,600 S16,000 S165 $175 23 126,240 123,888 126,080 151,680 24 25 $87 $175 26 S77 $190 a. Determine the multiple regression equation for the data. b. 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. c. Interpret the coefficient of determination.
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 ~er week • The population in the city • The monthly income of riders • Average rate to park your personal vehicle Number of weekly riders 192,000 190,400 191,200 Price per week Monthly income of riders Population of city 1,800,000 1,790,000 1,780,000 Average parking rates per month S50 S50 City $5,800 $6,200 $6,400 $15 $15 $15 $60 $6,500 $6.550 $6,580 $8.200 $8,600 $8.800 $9,200 177,600 176,800 178,400 $25 1,778,000 $60 $25 $60 1,750,000 1,740,000 $25 $70 $25 $30 S30 1,725,000 1,725,000 1,720,000 1,705,000 180,800 $75 175,200 174,400 $75 $75 10 173,920 $30 $80 1,710,000 1,700,000 $9,630 $10,570 $11,330 $11,600 $11,800 $11,830 $12,650 $13,000 11 172,800 163,200 $30 $80 12 $40 $80 13 161,600 161,600 160,800 $40 1,695,000 1,695,000 1,690,000 $85 14 $40 $100 15 $40 $105 16 159.200 $40 1,630,000 $105 S105 1,640,000 1,635,000 17 148,800 115,696 147,200 150,400 152,000 $65 18 s102 S110 $13,224 $13,766 $14,010 $14,468 $75 1,630,000 1,620,000 19 $125 20 S75 S75 $130 21 1,615,000 $150 $80 S86 $98 22 136,000 1,605,000 $155 1,590,000 1,595,000 1,590,000 1,600,000 $15,000 $15,200 S15,600 S16,000 S165 $175 23 126,240 123,888 126,080 151,680 24 25 $87 $175 26 S77 $190 a. Determine the multiple regression equation for the data. b. 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. c. Interpret the coefficient of determination.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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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 ~er week
• The population in the city
• The monthly income of riders
• Average rate to park your personal vehicle
Number of weekly
riders
192,000
Population of
city
1,800,000
1,790,000
Price per
week
Monthly income of
riders
Average parking rates per
month
City
$15
$5,800
$50
$6,200
$50
190,400
191,200
$15
$15
1,780,000
$6,400
$60
4
$25
$6,500
$60
177,600
176,800
1,778,000
1,750,000
1,740,000
5
$25
$6,550
$60
6.
178,400
$25
$6,580
$70
7
180,800
$25
1,725,000
$8,200
$75
175,200
174,400
$30
$30
1,725,000
$8,600
$8,800
8
$75
9.
1,720,000
$75
10
173,920
$30
1,705,000
$80
$9,200
$9,630
$10,570
$11,330
$11,600
S11,800
$11,830
$12,650
S13.000
1,710,000
1,700,000
11
172,800
163,200
$30
$80
12
$40
$80
13
161,600
$40
1,695,000
1,695,000
1,690,000
$85
14
161,600
160,800
$40
$100
15
$40
$105
1,630,000
1,640,000
1,635,000
16
159,200
$40
$105
17
$65
$105
$110
148,800
115,696
147,200
150,400
152,000
18
$102
19
$75
1,630,000
$13,224
$125
20
21
$130
$150
$75
1,620,000
1,615,000
1,605,000
$13,766
$14,010
S75
22
136,000
126,240
$80
$14,468
$155
23
$86
1,590,000
$15,000
$15,200
S15,600
$16,000
$165
24
123,888
$98
1,595,000
1,590,000
1,600,000
$175
25
$175
126,080
151,680
$87
26
$77
$190
a. Determine the multiple regression equation for the data.
b. 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.
c. Interpret the coefficient of determination.
d. At the 5% significance level, determine if the model is useful for predicting the number of weekly riders on public buses. In
responding, construct and test any appropriate hypothesis.
e. 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c1c5c28-2ca6-44ee-95f7-47547a3f37b3%2Faedfdac6-c23b-4ebe-80cb-31b4f9a95478%2Fdh90ihr_processed.png&w=3840&q=75)
Transcribed Image Text: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 ~er week
• The population in the city
• The monthly income of riders
• Average rate to park your personal vehicle
Number of weekly
riders
192,000
Population of
city
1,800,000
1,790,000
Price per
week
Monthly income of
riders
Average parking rates per
month
City
$15
$5,800
$50
$6,200
$50
190,400
191,200
$15
$15
1,780,000
$6,400
$60
4
$25
$6,500
$60
177,600
176,800
1,778,000
1,750,000
1,740,000
5
$25
$6,550
$60
6.
178,400
$25
$6,580
$70
7
180,800
$25
1,725,000
$8,200
$75
175,200
174,400
$30
$30
1,725,000
$8,600
$8,800
8
$75
9.
1,720,000
$75
10
173,920
$30
1,705,000
$80
$9,200
$9,630
$10,570
$11,330
$11,600
S11,800
$11,830
$12,650
S13.000
1,710,000
1,700,000
11
172,800
163,200
$30
$80
12
$40
$80
13
161,600
$40
1,695,000
1,695,000
1,690,000
$85
14
161,600
160,800
$40
$100
15
$40
$105
1,630,000
1,640,000
1,635,000
16
159,200
$40
$105
17
$65
$105
$110
148,800
115,696
147,200
150,400
152,000
18
$102
19
$75
1,630,000
$13,224
$125
20
21
$130
$150
$75
1,620,000
1,615,000
1,605,000
$13,766
$14,010
S75
22
136,000
126,240
$80
$14,468
$155
23
$86
1,590,000
$15,000
$15,200
S15,600
$16,000
$165
24
123,888
$98
1,595,000
1,590,000
1,600,000
$175
25
$175
126,080
151,680
$87
26
$77
$190
a. Determine the multiple regression equation for the data.
b. 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.
c. Interpret the coefficient of determination.
d. At the 5% significance level, determine if the model is useful for predicting the number of weekly riders on public buses. In
responding, construct and test any appropriate hypothesis.
e. 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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