Question

3. Males of different ages were randomly selected (age, X) and given a hearing test (score, Y). The table below shows the data and the summary statistics. a. Complete the missing data from the table. \begin{tabular}{|c|c|c|c|c|c|c|} \hline $X_i$ & $Y_i$ & $(X_i - \bar{X})$ & $(Y_i - \bar{Y})$ & $(X_i - \bar{X})^2$ & $(Y_i - \bar{Y})^2$ & $(X_i - \bar{X})(Y_i - \bar{Y})$\\ \hline 30 & 18.25 & -20 & 1.46 & 400 & 2.13 & -29.2\\ 40 & 20 & -10 & 3.21 & 100 & 10.3 & -32.1\\ 50 & 16.32 & 0 & -0.47 & 0 & 0.22 & 0\\ 60 & 15.77 & 10 & -1.02 & 100 & 1.04 & -10.2\\ 70 & 13.61 & & & & & \\ \hline $\bar{X} = 50$ & $\bar{Y} = 16.79$ & & & & & \\ \hline \end{tabular}

          3. Males of different ages were randomly selected (age, X) and given a hearing test (score, Y).
The table below shows the data and the summary statistics.
a. Complete the missing data from the table.
\begin{tabular}{|c|c|c|c|c|c|c|}
\hline
$X_i$ & $Y_i$ & $(X_i - \bar{X})$ & $(Y_i - \bar{Y})$ & $(X_i - \bar{X})^2$ & $(Y_i - \bar{Y})^2$ & $(X_i - \bar{X})(Y_i - \bar{Y})$\\
\hline
30 & 18.25 & -20 & 1.46 & 400 & 2.13 & -29.2\\
40 & 20 & -10 & 3.21 & 100 & 10.3 & -32.1\\
50 & 16.32 & 0 & -0.47 & 0 & 0.22 & 0\\
60 & 15.77 & 10 & -1.02 & 100 & 1.04 & -10.2\\
70 & 13.61 &  &  &  &  & \\
\hline
$\bar{X} = 50$ & $\bar{Y} = 16.79$ &  &  &  &  & \\
\hline
\end{tabular}

3. Males of different ages were randomly selected (age, X) and given a hearing test (score, Y).
The table below shows the data and the summary statistics.
a. Complete the missing data from the table.

Xi Yi (Xi - X̅) (Yi - Y̅) (Xi - X̅)^2 (Yi - Y̅)^2 (Xi - X̅)(Yi - Y̅)

30 18.25 -20 1.46 400 2.13 -29.2

40 20 -10 3.21 100 10.3 -32.1

50 16.32 0 -0.47 0 0.22 0

60 15.77 10 -1.02 100 1.04 -10.2

70 13.61

X̅ = 50 Y̅ = 16.79

Added by Antonia S.

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