The Data Below Are the Number of Absences and the Final

question 68

Multiple Choice

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

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

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Definitions:

Uniform Distribution

A type of probability distribution where all outcomes are equally likely to occur.

Normal Model

A statistical model that assumes data follow a bell-shaped normal distribution, often used in probability and statistics.

Standard Deviation

A measure indicating the amount of variation or dispersion of a set of values from the mean, reflecting how spread out these values are.

University Program

An organized course of study or specialization offered at a university.