Question

ID	NONDOMINANT	DOMINANT
1	15.7	16.3
2	25.2	26.9
3	17.9	18.7
4	19.1	22.0
5	12.0	14.8
6	20.0	19.8
7	12.3	13.1
8	14.4	17.5
9	15.9	20.1
10	13.7	18.7
11	17.7	18.7
12	15.5	15.2
13	14.4	16.2
14	14.1	15.0
15	12.3	12.9

Enter the data in to your calculator and compute the regression line for dominant = a + b*(non-dominant).

Compute the residuals for this regression line.

1. Enter the 5th residual below rounded to two decimal places.

2. Enter the 6th residual below rounded to two decimal places.

3. Enter the 7th residual below rounded to two decimal places.

4. Enter the 8th residual below rounded to two decimal places.

Answer 1

If a linear regression equation has the form y=a+bx, where y is the dependent variable (on the Y axis), x is the independent variable (i.e. plotted on the X axis), b is the slope of the line and a is the y-intercept, then a and b can be calculated as below

Using above, regression line comes out to be, dominant(y)= 0.93597*non-dominant(x) + 2.73863

Now,Residual = (Observed y-value)- (Predicted y-value)

5th Residual = 14.8 - (0.93597*12 + 2.73863) = 0.83

6th Residual = 19.8 - (0.93597*20 + 2.73863) = -1.66

7th Residual = 13.1 - (0.93597*12.3 + 2.73863) = -1.15

8th Residual = 17.5 - (0.93597*14.4 + 2.73863) = 1.28