Question

Consider the data in the table below.

Y	X
5	8
10	5
5	5
4	9
1	9
6	9
10	5
9	5
2	7
9	8

Answer the following questions to two decimal places.

1. The slope coefficient for a regression of Y on X is

2. The constant of a regression of Y on X is

3. The residual for the first observation in the table is

4. The correlation of the residuals and X is

Answer 1

Using the given data:

X	Y
8	5
5	10
5	5
9	4
9	1
9	6
5	10
5	9
7	2
8	9

We can plot it on the graph and the obtained scatterplot:

Hence,

1.

Slope Coefficient = -1.07

2.

Constant of a regression = 13.57

3.

Residual = 5 - [(-1.07*8) + 13.57] = -0.03

4.

Correlation of residuals and X = 0