The following X and Y scores produce SS? = 2 and SP = 8.What is regression equation for predicting Y? $$\begin{array} { l l }
\mathrm { X } & \mathrm { Y } \
\hline 1 & 2 \
2 & 3 \
3 & 10
\end{array}$$
A)Y = 0.25X + 4.5
B)Y = 0.25X - 4.5
C)Y = 4X + 3
D)Y = 4X - 3

Question

The following X and Y scores produce SS? = 2 and SP = 8.What is regression equation for predicting Y? $$\begin{array} { l l } 
\mathrm { X } & \mathrm { Y } \
\hline 1 & 2 \
2 & 3 \
3 & 10
\end{array}$$
A)Y = 0.25X + 4.5
B)Y = 0.25X - 4.5
C)Y = 4X + 3
D)Y = 4X - 3

Quizplus · Accepted Answer

The slope (b) is calculated as SP/SSx = 8/2 = 4. The intercept (a) is calculated using the formula a = Ȳ - bX̄. With X̄ = 2 and Ȳ = 5, a = 5 - 4(2) = -3. Thus, the regression equation is Y = 4X - 3.

The Following X and Y Scores Produce SS? = 2 XY1223310\begin{array} { l l } \mathrm { X } & \mathrm { Y } \\\hline 1 & 2 \\2 & 3 \\3 & 10\end{array}X123​Y2310​​

The Following X and Y Scores Produce SS? = 2 $\begin{array} { l l } \mathrm { X } & \mathrm { Y } \\\hline 1 & 2 \\2 & 3 \\3 & 10\end{array}$