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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