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

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Question 1 

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

City 

Number of weekly  riders

Price per  

week

Population of  city

Monthly income of  riders

Average parking rates per  month

192,000 

$15 

1,800,000 

$5,800 

$50

190,400 

$15 

1,790,000 

$6,200 

$50

191,200 

$15 

1,780,000 

$6,400 

$60

177,600 

$25 

1,778,000 

$6,500 

$60

176,800 

$25 

1,750,000 

$6,550 

$60

178,400 

$25 

1,740,000 

$6,580 

$70

180,800 

$25 

1,725,000 

$8,200 

$75

175,200 

$30 

1,725,000 

$8,600 

$75

174,400 

$30 

1,720,000 

$8,800 

$75

10 

173,920 

$30 

1,705,000 

$9,200 

$80

11 

172,800 

$30 

1,710,000 

$9,630 

$80



12 

163,200 

$40 

1,700,000 

$10,570 

$80

13 

161,600 

$40 

1,695,000 

$11,330 

$85

14 

161,600 

$40 

1,695,000 

$11,600 

$100

15 

160,800 

$40 

1,690,000 

$11,800 

$105

16 

159,200 

$40 

1,630,000 

$11,830 

$105

17 

148,800 

$65 

1,640,000 

$12,650 

$105

18 

115,696 

$102 

1,635,000 

$13,000 

$110

19 

147,200 

$75 

1,630,000 

$13,224 

$125

20 

150,400 

$75 

1,620,000 

$13,766 

$130

21 

152,000 

$75 

1,615,000 

$14,010 

$150

22 

136,000 

$80 

1,605,000 

$14,468 

$155

23 

126,240 

$86 

1,590,000 

$15,000 

$165

24 

123,888 

$98 

1,595,000 

$15,200 

$175

25 

126,080 

$87 

1,590,000 

$15,600 

$175

26 

151,680 

$77 

1,600,000 

$16,000 

$190

 

  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. 
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