An instructor gives regular 20-point quizzes and 100-point exams in a mathematics course. Average scores for six
Question:
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.
Step by Step Answer:
a b c d The slope shows the average increase in exam s...View the full answer
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