4

The following table shows the age (in years) of 10 children and a quantitative measure of their aggressive behavior (measured on a scale of 0 to 10)

Age 6 6 6.7 7 7.4 7.9 8 8.2 8.5 8.9
Aggressive behavior 9 6 7 8 7 4 2 3 3 1

1 Determine the regression line of aggressive behavior according to age.

2 From that line, determine the value of aggressive behavior that would correspond to a child of 7.2 years.


Correlation and Regression Operations

xi yi xi ·yi xi2 yi2
6 9 36 81 54
6.4 6 40.96 36 38.4
6.7 7 44.89 49 46.9
7 8 49 64 56
7.4 7 54.76 49 51.8
7.9 4 62.41 16 31.6
8 2 64 4 16
8.2 3 67.24 9 24.6
8.5 2 72.25 4 17
8.9 1 79.21 1 8.9
75 49 570.72 313 345.2

Correlation and Regression Operations

Correlation and Regression Operations

Correlation and Regression Solution

Correlation and Regression Solution