ail ridership during the summer months in the North-East is believed to be closely related to the number of tourists visiting the region. The following table shows the data on the number of tourists and North-East ridership for the past 16 years. Year      Tourists( in millions)     Rail Ridership (in millions) 2000              9                                         2.3 2001              4                                         1.9 2002              7                                         1.7 2003              5                                         1.8 2004              12                                       2.8 2005              13                                       2.9 2006              14                                       2.4 2007              20                                       4.8 2008              7                                        1.3 2009              5                                         1.1 2010              9                                        1.9 2011              11                                       2.1 2012              16                                       3.3 2013              14                                       2.8 2014              18                                       3.6 2015              17                                       3.2     a Develop a linear regression equation for rail ridership as a function of the average number of tourists visiting the North-East. b Forecast Rail ridership if the average number of tourists  visiting the North-East is 19.2 million. c  Evaluate the goodness of fit of the regression equation by computing the values of R2, r, and syx and interpreting the results.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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Rail ridership during the summer months in the North-East is believed to be
closely related to the number of tourists visiting the region. The following table
shows the data on the number of tourists and North-East ridership for the past
16 years.
Year      Tourists( in millions)     Rail Ridership (in millions)

2000              9                                         2.3
2001              4                                         1.9

2002              7                                         1.7

2003              5                                         1.8

2004              12                                       2.8

2005              13                                       2.9

2006              14                                       2.4
2007              20                                       4.8

2008              7                                        1.3

2009              5                                         1.1
2010              9                                        1.9
2011              11                                       2.1
2012              16                                       3.3
2013              14                                       2.8
2014              18                                       3.6
2015              17                                       3.2

 

 

a Develop a linear regression equation for rail ridership as a function of the average number of tourists visiting the North-East.

b Forecast Rail ridership if the average number of tourists 
visiting the North-East is 19.2 million.



c  Evaluate the goodness of fit of the regression equation by
computing the values of R2, r, and syx and interpreting the results. 

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