Researchers Wish to Study Fuel Consumption Rates Based on Speed

question 25

Essay

Researchers wish to study fuel consumption rates based on speed.The data from 10 cars are below:
$\begin{array} { | l | l | } \hline \text { Speed } & \text { Miles/Gallon } \\\hline 15 & 14 \\\hline 23 & 17 \\\hline 30 & 20 \\\hline 35 & 24 \\\hline 42 & 26 \\\hline 45 & 23 \\\hline 50 & 18 \\\hline 54 & 15 \\\hline 60 & 11 \\\hline 65 & 10 \\\hline\end{array}$
It can be shown that for these data: $\bar{X}=41.9, \quad \bar{y}=17.8, \quad \sum_{i=1}^{10}\left(x_{i}-\bar{x}\right)^{2}=2352.9$
$\sum_{i=1}^{10}\left(y_{i}-\bar{y}\right)^{2}=267.6, \quad \sum_{i=1}^{10}\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)=-270.2$
Calculate b₁.

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Definitions:

Preindustrial

Refers to societies or stages of economic development characterized by agriculture, limited technology, and manual labor as the basis of the economy, before the advent of industrialization.

Post-Industrial

Referring to a stage of economic development in which the service sector generates more wealth than the manufacturing sector of the economy.

Housework

Routine tasks and chores done to maintain the household, such as cleaning, cooking, and laundry.

Husbands

Men who are married, typically referring to their role and responsibilities within the context of a marital relationship.