Core Algorithms

Model City and Highway Gas Mileage with a Bivariate Normal Distribution

Fit city and highway gas mileages to a bivariate normal distribution and compare the predicted distributions and expected miles per gallon for city mileage for several highway mileages.

In[1]:=

midsizeMPG2009 = {{16, 22}, {18, 26}, {17, 25}, {16, 23}, {16,

23}, {14, 19}, {13, 19}, {10, 14}, {10, 17}, {18, 28}, {18,

27}, {17, 25}, {17, 25}, {17, 26}, {17, 26}, {16, 25}, {17,

25}, {15, 22}, {15, 23}, {11, 17}, {11, 17}, {17, 28}, {16,

24}, {16, 25}, {16, 25}, {17, 26}, {18, 26}, {17, 26}, {17,

25}, {17, 26}, {13, 19}, {15, 24}, {17, 26}, {15, 22}, {22,

33}, {22, 30}, {18, 29}, {17, 26}, {26, 34}, {21, 30}, {13,

20}, {19, 27}, {16, 27}, {21, 30}, {13, 20}, {19, 27}, {16,

27}, {24, 30}, {23, 27}, {23, 29}, {21, 25}, {19, 27}, {10,

15}, {9, 16}, {17, 25}, {20, 29}, {20, 28}, {18, 26}, {24,

33}, {25, 33}, {16, 25}, {15, 23}, {22, 32}, {22, 32}, {20,

28}, {23, 30}, {24, 32}, {19, 27}, {19, 26}, {18, 25}, {17,

24}, {16, 24}, {16, 23}, {16, 24}, {16, 23}, {20, 22}, {17,

25}, {20, 29}, {20, 28}, {18, 26}, {17, 24}, {18, 28}, {20,

29}, {21, 30}, {17, 25}, {18, 25}, {23, 32}, {17, 24}, {16,

22}, {15, 22}, {13, 19}, {13, 20}, {20, 27}, {16, 25}, {23,

32}, {23, 31}, {18, 27}, {19, 26}, {35, 33}, {19, 26}, {24,

30}, {21, 29}, {26, 31}, {27, 33}, {24, 32}, {11, 18}, {24,

30}, {24, 32}, {22, 33}, {17, 26}, {26, 34}, {21, 31}, {21,

31}, {19, 28}, {33, 34}, {48, 45}, {19, 29}, {15, 23}, {15,

22}, {16, 25}};

In[2]:=

In[3]:=

Out[3]=