Question

1. A regression analysis between height y (in cm) and age x (in years) of 2 to 10 years old boys yielded the least squares line y-hat = 87 + 6.5x. This implies that by each additional year height is expected to:

Select one:

a. increase by 93.5cm.

b. increase by 6.5cm.

c. increase by 87cm.

d. decrease by 6.5cm.

Answer 1

Ans: b. increases by 6.5 cm

Regression equation = 87 + 6.5 X, where is the height in cm and X is the age in years

The regression equations shows the relationship between the independent and dependent variable. Here the independent variable is the age and the deendent vaiabke is the height.

The equation states that an increase in age by an addition year (one year) will increase the height by 6.5 cm.