Suppose you collected a dataset based on 5 students about their academic performances and physical excises. The dataset includes two variables: reading score and gym participate frequency.
• Reading scores: 10, 9, 6, 10, 4
• Gym: 10, 6, 4, 9, 0
Fill the table below and compute the covariance between reading score and gym participation?
What this result tells you?
Your Solution:
Let's assume $r$ is for reading and $e$ is for exercise.
\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline
$r$ & $e$ & $\bar{r}$ & $\bar{e}$ & $r - \bar{r}$ & $e - \bar{e}$ & $(r - \bar{r})^2$ & $(e - \bar{e})^2$ & $(r - \bar{r}) * (e - \bar{e})$\\
\hline
& & & & & & & \\
\hline
& & & & & & & \\
\hline
& & & & & & & \\
\hline
& & & & & & & \\
\hline
& & & & & & & \\
\hline
\end{tabular}
From the table, we can obtain the covariance equal to:
What this result tells you?
