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ions in Math CRN 10106
miranda starling
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12.6b HW
Question 7, 12.6.38
HW Score: $39.77 \%, 43.75$ of
Part 3 of 4
110 points
Points: 0 of 10
The following table shows the weights, in hundreds of pounds, for six selected cars. Also shown is the c fuel efficiency, in miles per gallon (mpg), for the car in city driving. Use the data provided in the table to a) through d).
$\triangle$
\begin{tabular}{|c|l|l|l|l|l|l|}
\hline Weight (hundreds of pounds) & 27 & 32 & 34 & 35 & 32 & 30 \\
\hline Fuel efficiency (mpg) & 24 & 23 & 18 & 21 & 25 & 21 \\
\hline
\end{tabular}
(i) Click the icon to view the correlation coefficient, $r$, for various values of $n$ and $\alpha$.
a) Determine the correlation coefficient between the weight of a car and the fuel efficiency.

The correlation coefficient between the weight of a car and the fuel efficiency is $r=-0.522$.
(Type an integer or decimal rounded to three decimal places as needed.)
b) Determine whether a correlation exists at $\alpha=0.01$. Choose the correct answer below.
A. A linear correlation does not exist.
B. A linear correlation exists.
c) Determine the equation of the line of best fit for the weight of a car and the fuel efficiency of a car.
\[
y=(\square) x+(\square) \text {. }
\]
(Type an integer or decimal rounded to three decimal places as needed.)
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