Concept explainers
To find:The least squares regression parabola for the given points and verify the equation using a graphing utility.

Answer to Problem 27E
The equation is
Explanation of Solution
Given:
The points are
Calculation:
Let the general equation of the least squares regression parabola be
In order to determine value of the coefficients of a, b and c in the set of equations (1), construct a table as shown below:
x | y | |||||
-1 | 4 | 1 | -1 | 1 | -4 | 4 |
0 | 2 | 0 | 0 | 0 | 0 | 0 |
1 | 0 | 1 | 1 | 1 | 0 | 0 |
3 | 4 | 9 | 27 | 81 | 12 | 36 |
Table 1
Substitute the values from the above table into the set of equations (1).
Simplify the set of equations to determine the values of a, b and c.
So, the equation of the least squares regression parabola becomes,
In order to verify the equation
Figure 1
Chapter 13 Solutions
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