Question

STATS QUESTION PLEASE HELP AND EXPLAIN!

A least squares regression line was calculated to relate the length (cm) of newborn boys to their weight in kg. The line is weight = -5.58 + 0.1686 length. A newborn was 48cm long and weighed 3 kg. According to the regression model, what was his residual? What does that say about him?


1) WHAT WAS HIS RESIDUAL?


2) WHAT DOES THAT SAY ABOUT HIM? SELECT THE CORRECT CHOICE AND FILL IN ANY ANSWER BOXES TO COMPLETE YOUR ANSWER (round to three decimal places as needed)

a. the newborn weighs ____ kg less than the weight predicted by the regression equation

b. the newborn weighs _____ kg more than the weight predicted by the regression equation

c. the newborn weighs the same as the weight predicted by the regression equation

Answer 1

0.487 kg

b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation

Explanation:

Given the Regression equation:

Weight = - 5.58 + 0.1686 length

Length of newborn = 48 cm

Actual Weight of newborn = 3kg

Predicted weight from regression model:

Weight = - 5.58 + 0.1686(48)

Predicted Weight = 2.513kg

Hence, residual = (Actual - predicted)

Residual = (3kg - 2.513kg) = 0.487kg

Since the actual weight is more or greater than the predicted weight:

b.) the newborn weighs 0.487kg more than the weight predicted by the regression equation