The following table provides values of the function f ( x , y ) . 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 ( x , y ) = a + b x + c y 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
The following table provides values of the function f ( x , y ) . 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 ( x , y ) = a + b x + c y 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
Solution Summary: The author explains how to find the function f(x,y)=a+bx+cy from the given table.
The following table provides values of the function
f
(
x
,
y
)
. 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
(
x
,
y
)
=
a
+
b
x
+
c
y
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.)
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