Question

An engineer conducts and experiment, collects data, and now wishes to construct a least-squares regression to fit the data. A table of the data is given below.

X	Y
2.1	5.7
4.1	37.4
6.3	61.1

Using the data given, calculate the coefficients of the regression y = a(1/x)+cx+b , where c = 1.3. Enter the value for the coefficient "a" below.

Answer 1

	X	Y	X * Y
	2.1	5.7	11.97	4.41	32.49
	4.1	37.4	153.34	16.81	1398.76
	6.3	61.1	384.93	39.69	3733.21
Total	12.5	104.2	550.24	60.91	5164.46

Coefficient of Correlation

Equation of regression line is


b = 13.1503

a = -20.0596
Equation of regression line becomes