Developing Data Products Course Project

Fuel Economy Estimator (MPG)

Janpu Hou, Cyber Student of Coursera by Brian Caffo, Jeff Leek, and Roger Peng

December 22, 2015

This estimator is based on the following “multiple regression” mean function:

\[ E(Y |X) = \beta_0 + \beta_1\cdot X_1 + \beta_2\cdot X_2 + \beta_3\cdot X_3 + \beta_4\cdot X_4 \]

Where \[ X_j \] are predictor variables in the model

j = 1, is weight of the car in lbs

j = 2, is number of cylinders of the car

j = 3, is type of transmission of the car (1 = manual, 0 = automatic)

j = 4, is time required to reach quarter miles in seconds

while \[ \beta_0, \beta_1, \beta_2, \beta_3, \beta_4 \] can be obtained by fitting linear model in R:

              Estimate Std. Error    t value     Pr(>|t|)
(Intercept) 14.9288749 12.9058943  1.1567486 0.2575073944
wt          -3.6438922  0.9097014 -4.0055913 0.0004360708
cyl         -0.3542112  0.7207060 -0.4914781 0.6270600798
am           2.4679373  1.7182631  1.4362977 0.1624040912
qsec         1.0126280  0.5233825  1.9347763 0.0635587791