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Read the following description of a data set. Julie is preparing for the national spelling bee and is following a strict study plan. To create the plan, she timed how long it had taken her to memorize several words. Julie recorded the number of letters in each word, $x$ , and how many minutes, $y$ , it had taken her to memorize it. The least squares regression line of this data set is: $y = 0.537x + 2.444$ Complete the following sentence: The least squares regression line predicts that Julie would take $\_\_$ additional minutes to memorize a word with an additional letter.

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Interpret regression lines

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Q. Read the following description of a data set. Julie is preparing for the national spelling bee and is following a strict study plan. To create the plan, she timed how long it had taken her to memorize several words. Julie recorded the number of letters in each word,

x

, and how many minutes,

y

, it had taken her to memorize it. The least squares regression line of this data set is:

y = 0.537x + 2.444

Complete the following sentence: The least squares regression line predicts that Julie would take

\_\_

additional minutes to memorize a word with an additional letter.

Given Regression Line Equation: We are given the least squares regression line equation: $y = 0.537x + 2.444$ . This equation predicts the time $y$ (in minutes) it takes Julie to memorize a word based on the number of letters $x$ in that word. To find out how many additional minutes it would take to memorize a word with one additional letter, we need to look at the coefficient of $x$ , which is $0.537$ . This coefficient represents the change in $y$ for each additional letter in a word.
Interpreting Coefficient: Since the coefficient of $x$ is $0.537$ , this means that for each additional letter in a word, Julie is predicted to take an additional $0.537$ minutes to memorize it. There is no need for further calculations as the coefficient directly gives us the answer.

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