Graphing the Regression LineGraph the regression equation (found in Examples 1 and 2) on the scatterplot of the pizza subway fare data and examine the graph to subjectively determine how well the regression line fits the data.
Example 1
Using Technology to Find the Regression EquationRefer to the sample data given in Table 10-1 in the Chapter Problem. Use technology to find the equation of the regression line in which the explanatory variable (or x variable) is the cost of a slice of pizza and the response variable (or y variable) is the corresponding cost of a subway fare.
Example 2
Using Manual Calculations to Find the Regression EquationRefer to the sample data given in Table 10-1 in the Chapter Problem. Use Formulas 10-3 and 10-4 to find the equation of the regression line in which the explanatory variable (or x variable) is the cost of a slice of pizza and the response variable (or y variable) is the corresponding cost of a subway fare.
Table 10-1 Cost of a Slice of Pizza, Subway Fare, and the CPI
Year
1960
1973
1986
1995
2002
2003
Cost of Pizza
0.15
0.35
1.00
1.25
1.75
2.00
Subway Fare
1.35
1.50
CPI
30.2
48.3
112.3
162.2
191.9
197.8
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