A Well-Educated Lumberjack Decides to Use Linear Regression to Predict

question 53

Multiple Choice

A well-educated lumberjack decides to use linear regression to predict the demand for firewood based on the ambient temperature. He has collected data on firewood sales and temperature for the last several days and has performed some preliminary calculations as shown in the table. What is his regression equation based on the data? $$\begin{array} { | c | c | c | c | c | } \hline & \text { Temp } & \text { Ricks } & \text { Temp Squared } & \text { Temp *\# Ricks } \\\hline & 33 & 17 & 1089 & 561 \\\hline & 19 & 32 & 361 & 608 \\\hline & 34 & 20 & 1156 & 680 \\\hline & 34 & 18 & 1156 & 612 \\\hline & 20 & 33 & 400 & 660 \\\hline & 24 & 30 & 576 & 720 \\\hline & 17 & 34 & 289 & 578 \\\hline & 30 & 25 & 900 & 750 \\\hline & 38 & 16 & 1444 & 608 \\\hline & 23 & 29 & 529 & 667 \\\hline \text { Sums } & 272 & 254 & 7900 & 6444 \\\hline\end{array}$$

• A)Ricks = 50.6 - 0.93 × Temp
• B)Temp = 53.3 - 1.0 × Ricks
• C)Ricks = 0.93 - 50.6 × Temp
• D)Temp = 1.0 - 53.3 × Ricks

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