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

question 175

Multiple Choice

Find the Least-Squares Regression Line and Use the Line to Make Predictions
-In order for a company's employees to work in a foreign office, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that employees have studied a particular language and the grades they received on the proficiency exam. Find the equation of the regression line for the given data.
$\begin{array}{l|c|c|c|c|c|c|c|c|c|}\text { Number of years, } \mathrm{x} & 3 & 4 & 4 & 5 & 3 & 6 & 2 & 7 & 3 \\\hline \text { Grades on test, } \mathrm{y} & 61 & 68 & 75 & 82 & 73 & 90 & 58 & 93 & 72\end{array}$

• A) \(\hat {y} = 6.91 x + 46.26\)
• B) \(\hat { y } = 6.91 \mathrm { x } - 46.26\)
• C) \(\hat {y} = 46.26 x - 6.91\)
• D) \(\hat { y } = 46.26 x + 6.91\)

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