Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
-$\begin{array}{l|lllll}
\mathrm{x} & 24 & 26 & 28 & 30 & 32 \
\hline \mathrm{y} & 15 & 13 & 20 & 16 & 24
\end{array}$

A) $\hat { y } = - 11.8 + 1.05 x$
B) $\hat { y } = 11.8 + 1.05 x$
C) $\hat { y } = 11.8 + 0.950 \mathrm { x }$
D) $\hat { y } = - 11.8 + 0.950 x$

Question

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
-$\begin{array}{l|lllll}
\mathrm{x} & 24 & 26 & 28 & 30 & 32 \
\hline \mathrm{y} & 15 & 13 & 20 & 16 & 24
\end{array}$

A) $\hat { y } = - 11.8 + 1.05 x$
B) $\hat { y } = 11.8 + 1.05 x$
C) $\hat { y } = 11.8 + 0.950 \mathrm { x }$
D) $\hat { y } = - 11.8 + 0.950 x$

Quizplus · Accepted Answer

The slope (b) and intercept (a) of the regression line can be calculated using the formulas for linear regression. After calculations, the slope is approximately 1.05 and the intercept is approximately -11.8, leading to the equation $\hat{y} = -11.8 + 1.05x$.

Use the Given Data to Find the Equation of the Regression