The manager of a commuter rail transportation system was recently asked by her governing board to determine which factors have a significant impact on the demand for rides in the large city served by the transportation network. The system manager collected data on variables thought to be possibly related to the number of weekly riders on the city's rail system. The file P10_20.xlsx contains these data. Estimate a multiple regression equation using the given data. Interpret each of the estimated regression coefficients. Enter your answers in thousands. For example, an answer of 1.234 thousand should be entered as 1.234, not 1,234. Round your answers to three decimal places, if necessary. Holding all else constant, ridership by approximately thousands when the price per ride rises by $1.00. Holding all else constant, ridership by approximately thousands when the population increases by 1,000. Holding all else constant, ridership by approximately thousands when the disposable per capita income rises by $1.00. Holding all else constant, ridership by approximately thousands when the parking rate rises by $1.00. What proportion of the total variation in the number of weekly riders is not explained by this estimated multiple regression equation? Round your answer to one decimal place, if necessary.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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The manager of a commuter rail transportation system was recently asked by her governing board to determine which factors have a significant impact on the demand for rides in the large city served by the transportation network. The system manager collected data on variables thought to be possibly related to the number of weekly riders on the city's rail system. The file P10_20.xlsx contains these data.

  1. Estimate a multiple regression equation using the given data. Interpret each of the estimated regression coefficients. Enter your answers in thousands. For example, an answer of 1.234 thousand should be entered as 1.234, not 1,234. Round your answers to three decimal places, if necessary.

    Holding all else constant, ridership by approximately thousands when the price per ride rises by $1.00.

    Holding all else constant, ridership by approximately thousands when the population increases by 1,000.

    Holding all else constant, ridership by approximately thousands when the disposable per capita income rises by $1.00.

    Holding all else constant, ridership by approximately thousands when the parking rate rises by $1.00.

  2. What proportion of the total variation in the number of weekly riders is not explained by this estimated multiple regression equation? Round your answer to one decimal place, if necessary.

     %

The manager of a commuter rail transportation system was recently asked by her governing board to determine which factors have a significant impact on the demand for rides in the large
city served by the transportation network. The system manager collected data on variables thought to be possibly related to the number of weekly riders on the city's rail system. The file
P10_20.xlsx contains these data.
a. Estimate a multiple regression equation using the given data. Interpret each of the estimated regression coefficients. Enter your answers in thousands. For example, an answer of 1.234
thousand should be entered as 1.234, not 1,234. Round your answers to three decimal places, if necessary.
Holding all else constant, ridership decreases
by approximately
thousands when the price per ride rises by $1.00.
by approximately
thousands when the population increases by 1,000.
Holding all else constant, ridership increases
Holding all else constant, ridership decreases
by approximately
%
thousands when the disposable per capita income rises by $1.00.
Holding all else constant, ridership increases +
by approximately
thousands when the parking rate rises by $1.00.
b. What proportion of the total variation in the number of weekly riders is not explained by this estimated multiple regression equation? Round your answer to one decimal place, if
necessary.
Transcribed Image Text:The manager of a commuter rail transportation system was recently asked by her governing board to determine which factors have a significant impact on the demand for rides in the large city served by the transportation network. The system manager collected data on variables thought to be possibly related to the number of weekly riders on the city's rail system. The file P10_20.xlsx contains these data. a. Estimate a multiple regression equation using the given data. Interpret each of the estimated regression coefficients. Enter your answers in thousands. For example, an answer of 1.234 thousand should be entered as 1.234, not 1,234. Round your answers to three decimal places, if necessary. Holding all else constant, ridership decreases by approximately thousands when the price per ride rises by $1.00. by approximately thousands when the population increases by 1,000. Holding all else constant, ridership increases Holding all else constant, ridership decreases by approximately % thousands when the disposable per capita income rises by $1.00. Holding all else constant, ridership increases + by approximately thousands when the parking rate rises by $1.00. b. What proportion of the total variation in the number of weekly riders is not explained by this estimated multiple regression equation? Round your answer to one decimal place, if necessary.
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Year
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Weekly Riders
1,200
1,190
1,195
1,100
1,105
1,115
1,130
1,095
1,090
1,087
1,080
1,020
1,010
1,010
1,005
995
930
915
920
940
950
910
930
933
940
948
955
Price per Ride
$0.15
$0.15
$0.15
$0.25
$0.25
$0.25
$0.25
$0.30
$0.30
$0.30
$0.30
$0.40
$0.40
$0.40
$0.40
$0.40
$0.75
$0.75
$0.75
$0.75
$0.75
$1.00
$1.00
$1.00
$1.00
$1.00
$1.00
Population
Income
1,800
$2,900
1,790
$3,100
1,780
$3,200
1,778 $3,250
1,750 $3,275
1,740
$3,290
1,725
$4,100
1,725
$4,300
1,720
$4,400
1,705 $4,600
1,710
$4,815
1,700 $5,285
1,695
$5,665
1,695 $5,800
1,690 $5,900
1,630 $5,915
1,640 $6,325
1,635
$6,500
1,630 $6,612
1,620 $6,883
1,615 $7,005
1,605 $7,234
$7,500
$7,600
1,590 $7,800
1,600 $8,000
1,610 $8,100
1,590
1,595
Parking Rate
$0.50
$0.50
$0.60
$0.60
$0.60
$0.70
$0.75
$0.75
$0.75
$0.80
$0.80
$0.80
$0.85
$1.00
$1.05
$1.05
$1.05
$1.10
$1.25
$1.30
$1.50
$1.55
$1.65
$1.75
$1.75
$1.90
$2.00
Transcribed Image Text:1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Year 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Weekly Riders 1,200 1,190 1,195 1,100 1,105 1,115 1,130 1,095 1,090 1,087 1,080 1,020 1,010 1,010 1,005 995 930 915 920 940 950 910 930 933 940 948 955 Price per Ride $0.15 $0.15 $0.15 $0.25 $0.25 $0.25 $0.25 $0.30 $0.30 $0.30 $0.30 $0.40 $0.40 $0.40 $0.40 $0.40 $0.75 $0.75 $0.75 $0.75 $0.75 $1.00 $1.00 $1.00 $1.00 $1.00 $1.00 Population Income 1,800 $2,900 1,790 $3,100 1,780 $3,200 1,778 $3,250 1,750 $3,275 1,740 $3,290 1,725 $4,100 1,725 $4,300 1,720 $4,400 1,705 $4,600 1,710 $4,815 1,700 $5,285 1,695 $5,665 1,695 $5,800 1,690 $5,900 1,630 $5,915 1,640 $6,325 1,635 $6,500 1,630 $6,612 1,620 $6,883 1,615 $7,005 1,605 $7,234 $7,500 $7,600 1,590 $7,800 1,600 $8,000 1,610 $8,100 1,590 1,595 Parking Rate $0.50 $0.50 $0.60 $0.60 $0.60 $0.70 $0.75 $0.75 $0.75 $0.80 $0.80 $0.80 $0.85 $1.00 $1.05 $1.05 $1.05 $1.10 $1.25 $1.30 $1.50 $1.55 $1.65 $1.75 $1.75 $1.90 $2.00
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