Populate the table American Net Barrel Oil ($) Year Income ($ ху y (x) million) (y) 2005 56 -850 47600 3136 722 2006 63 250 15750 3969 625 2007 67 450 30150 4489 202 2008 92 -2100 -193200 8464 4410 5 2009 54 -1450 -78300 2916 2102 6. 2010 71 -700 49700 5041 490 234 S6
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Please note that
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The data for American's net income and price of oil is listed below
| x | y |
| 56 | -850 |
| 63 | 250 |
| 67 | 450 |
| 92 | -2100 |
| 54 | -1450 |
| 71 | -700 |
As given,
Here American's net income is the response variable (x) and the price of oil is an explanatory variable (y).
h) It is required to obtain the regression line.
First calculating the coefficeint of regression (b)
-28.9034
The formula for the intercept (a) is
1208.009
The regression line is
y = 1208.009 -28.9034 x
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