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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Definitions:

Gospel Book of Otto III

A medieval illuminated manuscript, richly decorated, which depicts the Gospel. It is associated with Emperor Otto III.

Ottonian Court

The Ottonian court refers to the court and culture surrounding the rulers of the Ottonian dynasty, which led the Holy Roman Empire from 919 to 1024, noted for fostering art, architecture, and scholarship.

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The capital city of the Byzantine Empire, known today as Istanbul, which was a significant center of Christianity, culture, and politics.

Otto II and Theophanu

A royal couple of the Holy Roman Empire in the late 10th century, noted for their reign that played a significant role in the politics and culture of medieval Europe.