5. A teacher argues any relationship between student success and the level of class participation for his current class. To reach a reasonable conclusion, he randomly selected 6 students and prepared the following schedule that tabulates the overall success grades and participation ratios of these sample students. \begin(tabular) [|1|c|c|cc|c|c]). \cline (2-7) \multicolumn(1)(c){} & \multicolumn(6) Ic STUDENT W \cline (2-7) \multicolumn(1)(c))) & $\mathbf (1)5 & S\mathbf (2)5 & $\mathbf (3)5 & $\mathbf (4)S & $\mathbf (5)S & $\mathbf (6)$ \\ hline GRADE & 60 & 75 & 35 & 50 & 90 & 83 \\ hline PARTICIPATION RATE (%) & 70 & 80 & 50 & 65 & 95 8.90 \\ hline \end{tabular) a) Compute the standard deviation for each of the variables. (5 pts) b) Compute the covariance between success and

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Could you please solve the following question.

5. A teacher argues any relationship between student
success and the level of class participation for his
current class. To reach a reasonable conclusion, he
randomly selected 6 students and prepared the following
schedule that tabulates the overall success grades and
participation ratios of these sample students.
\begin[tabular) [|1|c|c|ci|cc|]
\cline (2-7) \multicolumn(1)(c)} &
\multicolumn(61c1) STUDENT W
\cline (2-7) \multicolumn(1)(c)0 & $\mathbf [135 &
$\mathbr(2)5 & $\mathbf (3)5 & $\mathbf (4)5 &
$\mathbf (5)$& $\mathbf (6)$ \\
\hline GRADE & 60 & 75 & 35 & 50 & 90 & 83 \\
hline PARTICIPATION RATE (%) & 70 & 80 & 50 & 65 & 95
& 90 \\
Shline
\end{tabular)
a) Compute the standard deviation for each of the
variables. (5 pts)
b) Compute the covariance between success and
participation. (5 pts)
c) Estimate the Pearson correlation coefficient and
interpret your finding. (5 pts)
SP.SD.039
Transcribed Image Text:5. A teacher argues any relationship between student success and the level of class participation for his current class. To reach a reasonable conclusion, he randomly selected 6 students and prepared the following schedule that tabulates the overall success grades and participation ratios of these sample students. \begin[tabular) [|1|c|c|ci|cc|] \cline (2-7) \multicolumn(1)(c)} & \multicolumn(61c1) STUDENT W \cline (2-7) \multicolumn(1)(c)0 & $\mathbf [135 & $\mathbr(2)5 & $\mathbf (3)5 & $\mathbf (4)5 & $\mathbf (5)$& $\mathbf (6)$ \\ \hline GRADE & 60 & 75 & 35 & 50 & 90 & 83 \\ hline PARTICIPATION RATE (%) & 70 & 80 & 50 & 65 & 95 & 90 \\ Shline \end{tabular) a) Compute the standard deviation for each of the variables. (5 pts) b) Compute the covariance between success and participation. (5 pts) c) Estimate the Pearson correlation coefficient and interpret your finding. (5 pts) SP.SD.039
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