5

The heights (in centimeters) and weight (in kilograms) of 10 basketball players of a team are:

Height (X) 186 189 190 192 193 193 198 201 203 205
Weight (Y) 85 85 86 90 87 91 93 103 100 101

Calculate:

1 The regression line of y on x.

2 The coefficient of correlation.

3 The estimated weight of a player who measures 208 cm.


xi yi xi2 yi2 xi ·yi
186 85 34,596 7,225 15,810
189 85 35,721 7,225 16,065
190 86 36,100 7,396 16,340
192 90 36,864 8,100 17,280
193 87 37,249 7,569 16,791
193 91 37,249 8,281 17,563
198 93 39,204 8,649 18,414
201 103 40,401 10,609 20,703
203 100 41,209 10,000 20,300
205 101 42,025 10,201 20,705
1,950 921 380,618 85,255 179,971

Correlation and Regression Calculations

Correlation and Regression Calculations

Correlation and Regression Calculations

Correlation and Regression Calculations

Correlation and Regression Solution

There is a strong positive correlation.

Correlation and Regression Solutions