Modeling Data The table shows the gross income tax collections (in billions of dollars) by the Internal Revenue Service for individuals
Year 
1980 
1985 
1990 
1995 
Individual,

288 
397 
540 
676 
Business,

72 
77 
110 
174 
Year 
2000 
2005 
2010 
2015 
Individual,

1137 
1108 
1164 
1760 
Business,

236 
307 
278 
390 
(a) Use the regression capabilities of a graphing utility to find the least squares regression line for the data.
(b) Use the model to estimate the business income taxes collected when the individual income taxes collected is $1300 billion.
(c) In 1975, the individual income taxes collected was $156 billion and the business income taxes collected taxes collected was $46 billion. Describe how including this information would affect the model.
(a)
To calculate: The least square regression line for the data using the table given below.
Year  1980  1985  1990  1995  2000  2005  2010  2015 
Individual, x  288  397  540  676  1137  1108  1164  1760 
Business, y  72  77  110  174  236  307  278  390 
Given: The data for gross income tax collected from individuals and businesses by the IRS over time is as below.
Year  1980  1985  1990  1995  2000  2005  2010  2015 
Individual, x  288  397  540  676  1137  1108  1164  1760 
Business, y  72  77  110  174  236  307  278  390 
Formula used: The line
(b)
To calculate: The amount of income tax collected from the businesses when the amount paid by the individuals was 1300 billion dollars.
(c)
The change in the regression model if data for another year 1975 was added using the table given below.
Year  1975  1980  1985  1990  1995  2000  2005  2010  2015 
Individual, x  156  288  397  540  676  1137  1108  1164  1760 
Business, y  46  72  77  110  174  236  307  278  390 
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