The Following Observations Are Given for Two Variables ​
A
Compute and Interpret the Sample Covariance for the Above

question 69

Essay

The following observations are given for two variables. $$\begin{array} { r r } \mathbf { y } & { \mathbf { x } } \\5 & 2 \\8 & 12 \\18 & 3 \\20 & 6 \\22 & 11 \\30 & 19 \\10 & 18 \\7 & 9\end{array}$$ ​
a.
Compute and interpret the sample covariance for the above data.
b.
Compute the standard deviation for x.
c.
Compute the standard deviation for y.
d.
Compute and interpret the sample correlation coefficient.

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Definitions:

Predetermined Overhead Rate

This rate is used to allocate manufacturing overhead to individual units produced, based on a predetermined formula.

Direct Labor Budget

Direct labor budget is a financial plan that estimates the cost of direct labor required to meet production goals, detailing the amount and cost of the labor necessary for a specific period.

Labor-Hours Per Unit

Labor-hours per unit measures the amount of labor time required to produce one unit of a product.

Direct Labor Rate

The hourly wage rate paid to workers who are directly involved in manufacturing or producing goods.