Determine the regression equation for the data. Round the final values to three significant digits, if necessary.
-$\begin{array}{c|ccccc}
\mathrm{x} & 0 & 3 & 4 & 5 & 12 \
\hline \mathrm{y} & 8 & 2 & 6 & 9 & 12
\end{array}$
A)$\hat { y } = 4.88 + 0.625 \mathrm { x }$
B) $\hat { y } = 4.98 + 0.425 x$
C) $\hat { y } = 4.88 + 0.525 \mathrm { x }$
D) $\hat { y } = 4.98 + 0.725 \mathrm { x }$

Question

Quizplus · Accepted Answer

To find the regression equation, we calculate the slope (m) and y-intercept (b) using the formula for linear regression. After calculating these values based on the given data points, the closest matching equation is $\hat { y } = 4.88 + 0.525 \mathrm { x }$, which corresponds to option C. This involves calculating the mean of x and y, the product of x and y, the square of x, and then using these to find the slope (m) and y-intercept (b) of the best fit line. The calculations lead to the coefficients provided in option C when rounded to three significant digits.

Determine the Regression Equation for the Data x034512y826912\begin{array}{c|ccccc}\mathrm{x} & 0 & 3 & 4 & 5 & 12 \\\hline \mathrm{y} & 8 & 2 & 6 & 9 & 12\end{array}xy​08​32​46​59​1212​​

Determine the Regression Equation for the Data $\begin{array}{c|ccccc}\mathrm{x} & 0 & 3 & 4 & 5 & 12 \\\hline \mathrm{y} & 8 & 2 & 6 & 9 & 12\end{array}$