An instructor gives regular 20-point quizzes and 100-point exams in a mathematics course. Average scores for six
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An instructor gives regular 20-point quizzes and 100-point exams in a mathematics course. Average scores for six students, given as ordered pairs (x, y), where x is the average quiz score and y is the average exam score, are (18, 87), (10, 55), (19, 96), (16, 79), (13, 76), and (15, 82).
(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 score
for 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 exam score of everyone in the class. Describe the changes in the positions of the plotted points and the change in the equation of the line.
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a b c d The slope shows the average increase in exam s...View the full answer
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