Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
-$\begin{array}{r|rrrrr}
\hline x & 1 & 3 & 5 & 7 & 9 \
\hline y & 143 & 116 & 100 & 98 & 90
\end{array}$

A) $\hat { y } = 150.7 - 6.8 \mathrm { x }$
B) $\hat { y } = - 150.7 + 6.8 x$
C) $\hat { y } = - 140.4 + 6.2 \mathrm { x }$
D) $\hat { \mathrm { y } } = 140.4 - 6.2 \mathrm { x }$

Question

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
-$\begin{array}{r|rrrrr}
\hline x & 1 & 3 & 5 & 7 & 9 \
\hline y & 143 & 116 & 100 & 98 & 90
\end{array}$

A) $\hat  { y } = 150.7 - 6.8 \mathrm { x }$
B) $\hat { y } = - 150.7 + 6.8 x$
C) $\hat { y } = - 140.4 + 6.2 \mathrm { x }$
D) $\hat { \mathrm { y } } = 140.4 - 6.2 \mathrm { x }$

Quizplus · Accepted Answer

We can use a calculator or statistical software to find the equation of the regression line. Using Microsoft Excel, we can enter the data into a table and create a scatter plot. Then, we can add a trendline and display the equation.

The equation for the regression line is:
$\hat { y } = 140.4 - 6.2 \mathrm { x }$

Therefore, the best choice is D because it is the equation of the regression line.

Use the Given Data to Find the Equation of the Regression