Question

Draw the scatter diagram. Solve the type of relation that exists occurs between x/y. Figure out what the least squares regression line is.

x y
1    4.8
2    1.0
3    3.2
4 7.6
5 5.9
6 1.7

7    6.2

8 10.4

Answer 1

This is scatter plot obtained.

the relationship between X an Y seems to be positive hence

least squares regression is possible

The following data are passed:

X	Y
1	4.8
2	1
3	3.2
4	7.6
5	5.9
6	1.7
7	6.2
8	10.4

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
	1	4.8	4.8	1	23.04
	2	1	2	4	1
	3	3.2	9.6	9	10.24
	4	7.6	30.4	16	57.76
	5	5.9	29.5	25	34.81
	6	1.7	10.2	36	2.89
	7	6.2	43.4	49	38.44
	8	10.4	83.2	64	108.16
Sum =	36	40.8	213.1	204	276.34

Based on the above table, the following is calculated:

Therefore, based on the above calculations, the regression coefficients (the slope m, and the y-intercept n) are obtained as follows:

Therefore, we find that the regression equation is: