Are the grades one receives in a course related to the amount of
time spent studying the subject? To analyze this possibility, a
student took a random sample of 60 students who had enrolled in an
accounting class last semester. She asked each student to report
his or her grade in the course and the total number of hours spent
studying accounting. The data are stored in this Excel
file
Question 1. Use Excel to make a scatterplot of
the data. Select the statement below that best describes what the
scatterplot shows concerning the form of the relationship between
time spent studying and grades.
A. The form of the relationship is nonlinear. As study time
increases, the grades first increase and then begin to
decrease.
B. The scatterplot is just a horizontal "cloud" of points that
shows no discernible form for the relationship between study time
and grades.
C. The form of the relationship is approximately
linear. The slope of the approximating line is positive.
D. The form of the relationship is approximately linear. The
slope of the approximating line is negative.
E. The form of the relationship is nonlinear. As study time
increases, the grades first decrease and then begin to
increase.
Question 2. What is the correlation r between
time spent studying and course grade? (Use 3 decimal places)
Question 3. What is the slope of the least
squares line, where x is the time spent studying and y is the
course grade? (Use 3 decimal places in your answer)
Question 4. How many points would a student's
course grade increase if the student studied an
additional 8 hours? (Use 2 decimal places in your
answer)
Question 5. If a students wants to increase her
grade by 3 points, how many additional hours should she
study? (Use 2 decimal places in your answer)
Question 6. What is the relationship between
the sign of the slope and the sign of the correlation?
The slope b and correlation r are both positiveThe slope b and
correlation r are both negative The slope b
is positive and the correlation r is negative the slope b is
negative and the correlation r is positive
1 Time 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 IMarks 19 57 24 64 20 53 20 47 28 62 38 83 27 57 11 45 39 83 18 63 29 60 13 41 24 54 38 75 27 61 29 75 16 56 23 60 39 62 33 63 17 54 26 54 15 53 30 46 35 94 16 65 16 50 21 68 14 35
31 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 11 26 18 32 17 29 23 31 29 13 30 14 33 18 38 23 34 34 11 29 33 16 23 20 10 32 38 28 47 64 67 72 71 74 66 81 59 47 73 47 73 56 82 77 73 70 34 72 76 50 71 46 56 63 74 63
Are the grades one receives in a course related to the amount of time spent studying the subject? To analyze this possib
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