WILL RATE!!! Probability and Statistics for Engineers and Scientists 4e Chapter

Question

WILL RATE!!!


Probability and Statistics for Engineers and Scientists 4e

Chapter 10 (Multiple Linear Regression)

Section 2 (Estimating the Coefficients)

Example 10.2




Given the data (below) fit a regression curve of the form x2 + x +C and then estimate y=2.

x    y
-----------
0    9.1
1    7.3
2    3.2
3    4.6
4    4.8
5    2.9
6    5.7
7    7.1
8    8.8
9    10.2

The book works through it and offers the solution, but the stepsare unclear. Could someone help me by walking through thesteps? The solution is .288x2 - 2.341x + 8.697 and y =5.2.

Thanks!

Explanation / Answer

Consider the given data as follows x x2 Y 0 0 9.1 1 1 7.3 2 4 3.2 3 9 4.6 4 16 4.8 5 25 2.9 6 36 5.7 7 49 7.1 8 64 8.8 9 81 10.2 As you have to fit the multiple regression equation as Y = a+bx+cx2 by using normal equations we can calculate the constant values a, band c. By using some package related to statistics we have the output The regression equation is Y = 8.70 - 2.34 x + 0.288 x2 Which is same as above you mentioned

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