Find the Least-Squares Regression Line and Use the Line to Make

question 80

Multiple Choice

Find the Least-Squares Regression Line and Use the Line to Make Predictions
-The data below are the number of absences and the final grades of 9 randomly selected students from a literature class. Find the equation of the regression line for the given data. What would be the predicted final grade if a student was absent 14 times? Round the predicted grade to the nearest whole number.
$\begin{array}{|l|c|c|c|c|c|c|c|c|c|}\hline \text { Number of absences, } \mathrm{x} & 0 & 3 & 6 & 4 & 9 & 2 & 15 & 8 & 5 \\\hline \text { Final grade, } \mathrm{y} & 98 & 86 & 80 & 82 & 71 & 92 & 55 & 76 & 82\end{array}$

• A) \(\hat { y } = - 2.75 \mathrm { x } + 96.14 ; 58\)
• B) \(\hat { y } = 96.14 \mathrm { x } - 2.75 ; 1343\)
• C) \(\hat {y} = - 2.75 x - 96.14 ; 134.64\)
• D) \(\hat { y } = - 96.14 \mathrm { x } + 2.75 ; 1343\)

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Definitions:

Normal Time

The average time that a worker takes to complete a specific task under normal working conditions, considering both productive and unproductive time.

Standard Time

indicates the amount of time that should be taken to complete a particular job or task, typically determined through time studies and used for planning and benchmarking.

Variable Allowance

An additional time or financial buffer incorporated into estimates or plans to accommodate uncertainty or variations from the norm.

Standard Deviation

A measure indicating the amount of variability or dispersion in a set of related values.