Given the Following Sample Data ACalculate the Covariance and the Correlation Coefficient

question 59

Essay

Given the following sample data:
$$\begin{array} { | l | l l l l l l l l l l | } \hline \boldsymbol { x } & 420 & 610 & 625 & 500 & 400 & 450 & 550 & 650 & 480 & 565 \\\hline y & 2.80 & 3.60 & 3.75 & 3.00 & 2.50 & 2.70 & 3.50 & 3.90 & 2.95 & 3.30 \\\hline\end{array}$$
a.Calculate the covariance and the correlation coefficient.
b.Comment on the relationship between x and y.
c.Determine the least squares line.
d.Draw the scatter diagram and plot the least squares line.

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Definitions:

Similarities

Similarities involve aspects that are alike or share common attributes between entities, enabling comparisons and connections.

Expressing Thoughts

The act of verbalizing or otherwise communicating one's ideas, beliefs, or emotions.

Forgiveness

Letting go of resentment or vengeance toward an individual or group who has harmed you, regardless of whether they actually deserve your forgiveness.

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Justice defined by restoring the social order. It seeks to repair social connections and establish peace between parties rather than focus on punishment of the offenders, through truth-telling, public acknowledgement, and reparations to the victims.