Use the Data Given Below to Answer the Following Questions)

question 11

Multiple Choice

Use the data given below to answer the following questions) .
Following is an extract from the Cost per Order Database of Grogtes LLC. $\begin{array}{|c|c|c|c|c|}\hline\text { Item Category } & \text { Item ID } & \text { Item Cost } & \text { Units } & \begin{array}{c}\text { Cost per } \\\text { Order }\end{array} \\\hline \text { Nuts } & \text { N101 } & \$ 2.44 & 94 & \$ 229.36 \\\hline \text { Screws } & \text { S101 } & \$ 20.44 & 49 & \$ 1,001.56\\\hline \text { Nuts } & N 102 & \$ 5.44 & 35 & \$ 190.40 \\\hline \text { Screwdriver } & \mathrm{SD} 101 & \$ 20.44 & 26 & \$ 531.44 \\\hline \text { Nuts } & \mathrm{N} 102 & \$ 3.44 & 55 & \$ 189.20 \\\hline \text { Screws } & \mathrm{S} 102 & \$ 5.44 & 59 & \$ 320.96 \\\hline \text { Nuts } & \mathrm{N} 101 & \$ 2.44 & 74 & \$ 180.56 \\\hline \text { Nuts } & \mathrm{N} 102 & \$ 5.44 & 89 & \$ 484.16 \\\hline \text { Nuts } & \mathrm{N} 101 & \$ 2.44 & 31 & \$ 75.64 \\\hline \text { Screws } & \mathrm{S} 103 & \$ 9.44 & 59 & \$ 556.96 \\\hline \text { Nuts } & \mathrm{N} 102 & \$ 5.44 & 89 & \$ 484.16 \\\hline \text { Screws } & \mathrm{S} 101 & \$ 2.44 & 28 & \$ 68.32 \\\hline \text { Screws } & \mathrm{S} 101 & \$ 20.44 & 80 & \$ 1,635.20 \\\hline \text { Nuts } & \mathrm{N} 102 & \$ 5.44 & 34 & \$ 184.96 \\\hline \text { Nails } & \mathrm{NG} 101 & \$ 125.45 & 1 & \$ 125.45 \\\text { Bolts } & \text { B101 } & \$ 16.44 & 15 & \$ 246.60 \\\hline \text { Screws } & \text { S103 } & \$ 9.44 & 27 & \$ 254.88 \\\hline \text { Screwdriver } & \text { SD102 } & \$ 9.44 & 63 & \$ 594.72 \\\hline \text { Screwdriver } & \text { SD101 } & \$ 20.44 & 14 & \$ 286.16 \\\hline \text { Bolts } & \mathrm{B} 102 & \$ 5.44 & 95 & \$ 516.80 \\\hline \text { Nuts } & \mathrm{N} 103 & \$ 1.74 & 66 & \$ 114.84 \\\hline \text { Bolts } & \mathrm{B} 101 & \$ 16.44 & 73 & \$ 1,200.12\\\hline \text { Screws } & \mathrm{S} 103 & \$ 9.44 & 45 & \$ 424.80 \\\hline \text { Screws } & \mathrm{S} 104 & \$ 15.45 & 86 & \$ 1,328.70 \\\hline \text { Screws } & \mathrm{S} 102 & \$ 5.44 & 3 & \$ 16.32 \\\hline \text { Screws } & \mathrm{S} 101 & \$ 20.44 & 6 & \$ 122.64 \\\hline \text { Bolts } & \mathrm{B} 102 & \$ 5.44 & 49 & \$ 266.56 \\\hline \text { Nuts } & \mathrm{N} 101 & \$ 2.44 & 65 & \$ 158.60 \\\text { Screwdriver } & \text { SD103 } & \$ 5.44 & 95 & \$ 516.80 \\\hline \text { Nuts } & \mathrm{N} 103 & \$ 1.74 & 52 & \$ 90.48 \\\hline \text { Screws } & \mathrm{S} 103 & \$ 9.44 & 79 & \$ 745.76 \\\hline \text { Nailgun pack } & \mathrm{NG} 101 & \$ 125.45 & 4 & \$ 501.80\\\hline\end{array}$
$\quad$ $\begin{array}{|c|c|c|c|c|}\hline \text { Item Category } & \text { Item D } & \text { Item Cost } & \text { Units } & \begin{array}{c}\text { Cost per } \\\text { Order }\end{array} \\\hline \text { Bolts } & \mathrm{B} 102 & \$ 5.44 & 61 & \$ 331.84 \\\hline \text { Bolts } & \mathrm{B} 103 & \$ 12.94 & 54 & \$ 698.76 \\\text { Bolts } & \mathrm{B} 104 & \$ 24.40 & 41 & \$ 1,000.40 \\\hline \text { Nails } & \mathrm{NG} 102 & \$ 275.45 & 2 & \$ 550.90 \\\hline \text { Nuts } & \mathrm{N} 103 & \$ 1.74 & 6 & \$ 10.44 \\\hline \text { Screwdriver } & \mathrm{SD} 104 & \$ 2.44 & 75 & \$ 183.00 \\\hline \text { Screws } & \mathrm{S} 101 & \$ 20.44 & 56 & \$ 1,144.64 \\\hline \text { Nuts } & \mathrm{N} 103 & \$ 1.74 & 13 & \$ 22.62 \\\hline \text { Screws } & \mathrm{S} 102 & \$ 5.44 & 10 & \$ 54.40 \\\hline \text { Screws } & \mathrm{S} 101 & \$ 20.44 & 93 & \$ 1,900.92 \\\hline \text { Screws } & \text { S102 } & \$ 5.44 & 27 & \$ 146.88 \\\hline\end{array}$
-Which of the following does the second quartile of the costs per order indicate?

• A) 2% of the costs per order are less than or equal to $114.84.
• B) 20% of the costs per order are less than or equal to $1,200.12.
• C) 5% of the costs per order are less than or equal to $229.36.
• D) 50% of the costs per order are less than or equal to $286.16.

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Definitions:

Least Squares Estimate

A method in regression analysis to estimate the coefficients by minimizing the sum of the squared residuals.

Population Slope

It refers to the slope of the line that best fits the entire population data in a regression model, representing the average change in the dependent variable for a one-unit change in the independent variable.

Sum Of Squared Residuals

The total value obtained by squaring each of the residuals (differences between observed and predicted values) and summing them all, commonly used in regression analysis.

Coefficient Of Determination

A measure, often represented as R^2, that indicates the proportion of the variance in the dependent variable predictable from the independent variable(s).