Chapter 9.1, Problem 34E

The following table provides values of the function $f\left(x,y\right)$. However, because of potential; errors in measurement, the functional values may be slightly inaccurately. Using the statistical package included with a graphical calculator or spreadsheet and critical thinking skills, find the function $f\left(x,y\right)=a+bx+cy$ that best estimate the table where a, b and c are integers. (Hint: Do a linear regression on each column with the value of y fixed and then use these four regression equations to determine the coefficient c.)

x	y	0	1	2	3
0		4.02	7.04	9.98	13.00
1		6.01	9.06	11.98	14.96
2		7.99	10.95	14.02	17.09
3		9.99	13.01	16.01	19.02