Question

Measurements on young children in Mumbai, India, found this least-squares line for predicting y = height (in cm) from x = arm span (in cm). What is the equation of the regression line?

Answer 1

The equation of the regression line is ŷ = -173.51 + 4.83x, where ŷ is the predicted height and x is the arm span. The slope of the line is 4.83, meaning that for every 1 cm increase in arm span, the predicted height increases by 4.83 cm.

Step-by-step explanation:

The equation of the regression line for predicting height (y) from arm span (x) is ŷ = -173.51 + 4.83x. This means that for every 1 cm increase in arm span, the predicted height increases by 4.83 cm. The y-intercept of -173.51 represents the predicted height when the arm span is 0 cm, which may not be meaningful in this context.