The following table lists the heights in inches and weights in pounds of six football quarterbacks.
$\begin{array} { c c }
\text { Height } & \text { Weight } \
72 & 217 \
71 & 205 \
76 & 215 \
75 & 212 \
71 & 219 \
76 & 221
\end{array}$
The least-squares regression equation is $y = 158.7740 + 0.7627 x$ . If two quarterbacks differ in height by 6 inches, by how much would you predict their weights to differ?
A) 4.58 pounds
B) 0.76 pounds
C) 6.00 pounds
D) 952.64 pounds

Question

The following table lists the heights in inches and weights in pounds of six football quarterbacks. 
$\begin{array} { c c } 
\text { Height } & \text { Weight } \
72 & 217 \
71 & 205 \
76 & 215 \
75 & 212 \
71 & 219 \
76 & 221
\end{array}$
 The least-squares regression equation is $y = 158.7740 + 0.7627 x$ . If two quarterbacks differ in height by 6 inches, by how much would you predict their weights to differ?
A) 4.58 pounds
B) 0.76 pounds
C) 6.00 pounds
D) 952.64 pounds

Quizplus · Accepted Answer

The slope of the regression equation is 0.7627, which means that for every 1-inch increase in height, the predicted weight increases by 0.7627 pounds. Therefore, if two quarterbacks differ in height by 6 inches, their weights would be predicted to differ by 6 * 0.7627 = 4.58 pounds.

The Following Table Lists the Heights in Inches and Weights Height Weight 722177120576215752127121976221\begin{array} { c c } \text { Height } & \text { Weight } \\72 & 217 \\71 & 205 \\76 & 215 \\75 & 212 \\71 & 219 \\76 & 221\end{array} Height 727176757176​ Weight 217205215212219221​

The Following Table Lists the Heights in Inches and Weights $\begin{array} { c c } \text { Height } & \text { Weight } \\72 & 217 \\71 & 205 \\76 & 215 \\75 & 212 \\71 & 219 \\76 & 221\end{array}$