Solved: Modeling Data An instructor gives regular 20-point quizzes and 100-point exams

Chapter 1, Problem 81

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Modeling Data An instructor gives regular 20-point quizzes and 100-point exams in a mathematics course. Average scores for six students, given as ordered pairs where is the average quiz score and is the average test score, are and (a) Use the regression capabilities of a graphing utility to find the least-squares regression line for the data. (b) Use a graphing utility to plot the points and graph the regression line in the same viewing window.(c) Use the regression line to predict the average exam scorefor a student with an average quiz score of 17.(d) Interpret the meaning of the slope of the regression line.(e) The instructor adds 4 points to the average test score of everyonein the class. Describe the changes in the positions of theplotted points and the change in the equation of the line.

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