What is the value of SP for the following set of data?? $$\begin{array} { l l }
\mathrm { X } & \mathrm { Y } \
\hline 1 & 4 \
2 & 4 \
9 & 1 \
\hline
\end{array}$$
A)?-5
B)?5
C)?-15
D)?15

Question

What is the value of SP for the following set of data?? $$\begin{array} { l l } 
\mathrm { X } & \mathrm { Y } \
\hline 1 & 4 \
2 & 4 \
9 & 1 \
\hline
\end{array}$$
A)?-5
B)?5
C)?-15
D)?15

Quizplus · Accepted Answer

The value of SP (sum of products of deviations) is calculated as: SP = Σ(Xi - X̄)(Yi - Ȳ). Here, X̄ = (1+2+9)/3 = 4, Ȳ = (4+4+1)/3 = 3. SP = (1-4)(4-3) + (2-4)(4-3) + (9-4)(1-3) = (-3)(1) + (-2)(1) + (5)(-2) = -3 - 2 - 10 = -15.

What Is the Value of SP for the Following Set XY142491\begin{array} { l l } \mathrm { X } & \mathrm { Y } \\\hline 1 & 4 \\2 & 4 \\9 & 1 \\\hline\end{array}X129​Y441​​

What Is the Value of SP for the Following Set $\begin{array} { l l } \mathrm { X } & \mathrm { Y } \\\hline 1 & 4 \\2 & 4 \\9 & 1 \\\hline\end{array}$