A Wildlife Biologist Has Spent the Past 5 Years Studying

question 41

Multiple Choice

A wildlife biologist has spent the past 5 years studying the relationship between the length (inches) and the average weight (lb) of the striped bass.His results are summarized in the table below. $$\begin{array} { | l | l | } \hline \begin{array} { l } \text { Length } \\\text { (inches) }\end{array} & \begin{array} { l } \text { Weight } \\\text { (lb) }\end{array} \\\hline 14 & 3 \\18 & 6 \\22 & 11 \\26 & 14 \\\hline\end{array}$$
Find the least squares regression line y = ax + b for the data in the table,where x represents the length of the fish in inches and y represents the weight in pounds.Use this regression line to estimate the average weight of a striped bass that is 21 inches in length.

• A)y = 0.85(21)- 12.5 = 5.35 lb
• B)y = 0.95(21)- 10.5 = 9.45 lb
• C)y = 0.95(21)- 8.5 = 11.45 lb
• D)y = 0.75(21)- 9.5 = 6.25 lb
• E)y = 0.65(21)- 10.5 = 3.15 lb

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