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:

Complex stepfamily

A family structure that includes children from previous relationships of both partners, creating a network of relationships more complicated than those in simple stepfamilies.

Biological children

Offspring to whom one is genetically related, as opposed to children acquired through adoption or other means.

Family composition

Refers to the makeup or structure of a family, including the number and relationship of its members.

Role expectations

The anticipated behaviors and actions associated with a particular social position or status.