Solve the problem.
-Find an equation for the least squares line representing weight, in pounds, as a function of height, in inches, of men. Then, predict the weight of a man who is 68 inches tall to the nearest tenth of a Pound. The following data are the (height, weight)pairs for 8 men: (66, 150), (68, 160), (69, 166),
(70, 175), (71, 181), (72, 191), (73, 198), (74, 206).
A)161.2 pounds
B)165.1 pounds
C)160.0 pounds
D)151.4 pounds

Question

Quizplus · Accepted Answer

161.2 poundsTo find the least squares line, we first calculate the slope (m) and y-intercept (b) of the line using the formula for a linear regression line, which involves summing the products of the differences from the mean for each variable and dividing by the sum of the squares of the differences from the mean of the independent variable. After calculating m and b, we use the equation of the line (y = mx + b) to predict the weight for a height of 68 inches. The calculation involves detailed steps not shown here due to the format constraint, but the result for a man who is 68 inches tall is approximately 161.2 pounds, making option A correct.

Solve the Problem. -Find an Equation for the Least Squares Line Representing Weight