11:31AAmathxl.comFA21-MATH-155-Peabody-All SectionsDanielle Lemery : 12/06/21 11:31 AMUse the pizza cost and the subway fare in the table below to find the regression equation, letting pizza cost be the predictor (x) variable. (Pizza cost is in dollars perslice, subway fare and CPI are in dollars.) What is the best predicted subway fare when pizza costs $4.06 per slice?1960 1973 1986 1995 2002 2003 2009 2013 2015 2019 e0.151 0YearPizza CostSubway Fare 0.154 0.346 1.001 1.349 1.504 2.003 2.247 2.551 2.751 2.750CPI0.991.250 1.748 1.992.248 2.298 2.752 3.00329.6 44.4 109.6 152.4 180.0 184.0 214.5 233.0 237.0 252.2The regression equation is y + ()x.(Round the y-intercept to four decimal places as needed. Round the slope to three decimal places as needed.)

The regression is used to estimate the future value and the relationship between the independent and dependent variables. Each regression line has only one dependent variable. But the independent variable count will vary. The parameter of the regression equation has two parameters, they are slope and intercept value. If the independent variable is one, it is known simple linear regression line. If the independent variable has more than one variable, it is known as multiple regression lines. Given : The pizza cost and the subway fare for the regression line. Thus the pizza cost and the subway spare are : Pizza cost (x) Subway fare (y) x2 y2 xy 0.151 0.154 0.022801 0.023716 0.023254 0.348 0.346 0.121104 0.119716 0.120408 0.999 1.001 0.998001 1.002001 0.999999 1.25 1.349 1.5625 1.819801 1.68625 1.748 1.504 3.055504 2.262016 2.628992 1.997 2.003 3.988009 4.012009 3.999991 2.248 2.247 5.053504 5.049009 5.051256 2.298 2.551 5.280804 6.507601 5.862198 2.752 2.751 7.573504 7.568001 7.570752 3.003 2.75 9.018009 7.5625 8.25825 ∑x=16.794 ∑y=16.656 ∑x2=36.67374 ∑y2=35.92637 ∑xy=36.20135 From the table, Slope : b1=n∑xy-∑x∑yn∑x2-∑x2=10×36.20135-16.794×16.65610×36.67374-16.7942=0.972 Intercept : b0=∑y∑x2-∑x∑xyn∑x2-∑x2=16.656×36.67374-16.794×36.2013510×36.67374-16.7942=0.0339 Thus, the regression equation will be y^=0.0339+0.972x Given, x=$4.06 per slice the y^=0.0339+0.972x=0.0339+0.972×4.06=3.98022 The subway fare for the pizza cost $4.06 is $3.98022