Question

Curve Fitting and Linear Regression

a) Determine the linear regression equation for the measured values in the table above.

??	1	2	3	4
Value 1 (????)	0	3	7	10
Value 2 (????)	2	4	9	11

b) Plot the points and the linear regression curve.

c) Determine the Linear Correlation Coefficient (i.e., Pearson’s r) for the dataset in the table above.

Answer 1

a
The following data is provided:

X	Y
0	2
3	4
7	9
10	11

The independent variable is X, and the dependent variable is Y. In order to compute the regression coefficients, the following table needs to be used:

	X	Y	X*Y	X2	Y2
	0	2	0	0	4
	3	4	12	9	16
	7	9	63	49	81
	10	11	110	100	121
Sum =	20	26	185	158	222

b)

c)

Therefore, based on this information, the sample correlation coefficient is computed as follows

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