Answer the question on the basis of the following five data sets wherein it is assumed that the variable shown on the left is the independent variable and the one on the right is the dependent variable.Assume in graphing these data that the independent variable is shown on the horizontal axis and the dependent variable on the vertical axis. $\quad$ $\quad$ (1) $\quad$ $\quad$ $\quad$ $\quad$ (2) $\quad$ $\quad$ $\quad$ $\quad$ (3) $\quad$ $\quad$ $\quad$ $\quad$ (4) $\quad$ $\quad$ $\quad$ $\quad$ (5)
$\begin{array}{rl}{J} & K \\\hline 0 & 10 \\40 & 20 \\80 & 30 \\120 & 40 \\160 & 50 \\200 & 60\end{array}\begin{array}{rr}\mathrm{L} & \mathrm{M} \\\hline 0 & -15 \\30 & -5 \\60 & 5 \\90 & 15 \\120 & 25 \\150 & 35\end{array}\\begin{array}{rl}\mathrm{N}& \mathrm{P} \\\hline 100 & 40 \\80 & 50 \\60 & 60 \\40 & 70 \\20 & 80 \\0 & 90\end{array}\begin{array}{rc}\mathrm{R}& \mathrm{T} \\\hline 0 & -15 \\20 & -25 \\40 & -35 \\60 & -45 \\80 & -55 \\100 & -65\end{array}\begin{array}{rr}\mathrm{U} & \mathrm{V }\\\hline 0 & 0 \\5 & 10 \\10 & 20 \\15 & 30 \\20 & 40 \\25 & 50\end{array}$ Refer to the data sets.The variables are directly related in:

A) all five data sets.
B) in none of the data sets.
C) in data sets 1,2,and 3 only.
D) in data sets 1,2,and 5 only.

Question

Answer the question on the basis of the following five data sets wherein it is assumed that the variable shown on the left is the independent variable and the one on the right is the dependent variable.Assume in graphing these data that the independent variable is shown on the horizontal axis and the dependent variable on the vertical axis.

\quad

\quad

(1)

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(2)

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(3)

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(4)

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\quad

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(5)

\begin{array}{rl}{J} & K \\\hline 0 & 10 \\40 & 20 \\80 & 30 \\120 & 40 \\160 & 50 \\200 & 60\end{array}\begin{array}{rr}\mathrm{L} & \mathrm{M} \\\hline 0 & -15 \\30 & -5 \\60 & 5 \\90 & 15 \\120 & 25 \\150 & 35\end{array}\\begin{array}{rl}\mathrm{N}& \mathrm{P} \\\hline 100 & 40 \\80 & 50 \\60 & 60 \\40 & 70 \\20 & 80 \\0 & 90\end{array}\begin{array}{rc}\mathrm{R}& \mathrm{T} \\\hline 0 & -15 \\20 & -25 \\40 & -35 \\60 & -45 \\80 & -55 \\100 & -65\end{array}\begin{array}{rr}\mathrm{U} & \mathrm{V }\\\hline 0 & 0 \\5 & 10 \\10 & 20 \\15 & 30 \\20 & 40 \\25 & 50\end{array}

Refer to the data sets.The variables are directly related in:

A) all five data sets.
B) in none of the data sets.
C) in data sets 1,2,and 3 only.
D) in data sets 1,2,and 5 only.

Kavya Chandrasena · Accepted Answer

Final Answer : D, Explanation :  In data sets 1, 2, and 5, as the independent variable increases, the dependent variable also increases, indicating a direct relationship. Data sets 3 and 4 show an inverse relationship, where the dependent variable decreases as the independent variable increases.

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