Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
-$\begin{array}{l|lllll}
\mathrm{x} & 6 & 8 & 20 & 28 & 36 \
\hline \mathrm{y} & 2 & 4 & 13 & 20 & 30
\end{array}$

A) $\hat { y } = - 2.79 + 0.950 x$
B) $\hat { y } = - 3.79 + 0.897 x$
C) $\hat { y } = - 3.79 + 0.801 x$
D) $\hat { y } = - 2.79 + 0.897 x$

Question

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
-$\begin{array}{l|lllll}
\mathrm{x} & 6 & 8 & 20 & 28 & 36 \
\hline \mathrm{y} & 2 & 4 & 13 & 20 & 30
\end{array}$

A) $\hat { y } = - 2.79 + 0.950 x$
B) $\hat { y } = - 3.79 + 0.897 x$
C) $\hat { y } = - 3.79 + 0.801 x$
D) $\hat { y } = - 2.79 + 0.897 x$

Quizplus · Accepted Answer

The regression line is calculated using the formula $\hat{y} = a + bx$, where $b = \frac{n(\sum xy) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}$ and $a = \frac{\sum y - b(\sum x)}{n}$. After calculations, the values are $a = -3.79$ and $b = 0.897$.

Use the Given Data to Find the Equation of the Regression