MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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What is the relationship between the amount of time statistics students study per week and their final
exam scores? The results of the survey are shown below.
9 7
79 71 78
Time
2
1
13
12
Score
61 58
60
59
68
83
a. Find the correlation coefficient: r =
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Họ: ?v
H: ? +0
= 0
The p-value is:
(Round to four decimal places)
c. Use a level of significance of a =
of the study.
0.05 to state the conclusion of the hypothesis test in the context
O There is statistically insignificant evidence to conclude that there is a correlation between the
time spent studying and the score on the final exam. Thus, the use of the regression line is not
appropriate.
O There is statistically significant evidence to conclude that there is a correlation between the
time spent studying and the score on the final exam. Thus, the regression line is useful.
O There is statistically significant evidence to conclude that a student who spends more time
studying will score higher on the final exam than a student who spends less time studying.
O There is statistically insignificant evidence to conclude that a student who spends more time
studying will score higher on the final exam than a student who spends less time studying.
d. r =
(Round to two decimal places)
e. Interpret r :
O Given any group that spends a fixed amount of time studying per week, 79% of all of those
students will receive the predicted score on the final exam.
O There is a 79% chance that the regression line will be a good predictor for the final exam score
based on the time spent studying.
O There is a large variation in the final exam scores that students receive, but if you only look at
students who spend a fixed amount of time studying per week, this variation on average is
reduced by 79%.
O 79% of all students will receive the average score on the final exam.
f. The equation of the linear regression line is:
a (Please show your answers to two decimal places)
g. Use the model to predict the final exam score for a student who spends 11 hours per week studying.
Final exam score =
h. Interpret the slope of the regression line in the context of the question:
O As x goes up, y goes up.
O For every additional hour per week students spend studying, they tend to score on averge 1.67
(Please round your answer to the nearest whole number.)
higher on the final exam.
O The slope has no practical meaning since you cannot predict what any individual student will
score on the final.
i. Interpret the y-intercept in the context of the question:
O The y-intercept has no practical meaning for this study.
O The average final exam score is predicted to be 60.
The best prediction for a student who doesn't study at all is that the student will score 60 on
the final exam.
O lf a student does not study at all, then that student will score 60 on the final exam.
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Transcribed Image Text:What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. 9 7 79 71 78 Time 2 1 13 12 Score 61 58 60 59 68 83 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Họ: ?v H: ? +0 = 0 The p-value is: (Round to four decimal places) c. Use a level of significance of a = of the study. 0.05 to state the conclusion of the hypothesis test in the context O There is statistically insignificant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the use of the regression line is not appropriate. O There is statistically significant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the regression line is useful. O There is statistically significant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. O There is statistically insignificant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. d. r = (Round to two decimal places) e. Interpret r : O Given any group that spends a fixed amount of time studying per week, 79% of all of those students will receive the predicted score on the final exam. O There is a 79% chance that the regression line will be a good predictor for the final exam score based on the time spent studying. O There is a large variation in the final exam scores that students receive, but if you only look at students who spend a fixed amount of time studying per week, this variation on average is reduced by 79%. O 79% of all students will receive the average score on the final exam. f. The equation of the linear regression line is: a (Please show your answers to two decimal places) g. Use the model to predict the final exam score for a student who spends 11 hours per week studying. Final exam score = h. Interpret the slope of the regression line in the context of the question: O As x goes up, y goes up. O For every additional hour per week students spend studying, they tend to score on averge 1.67 (Please round your answer to the nearest whole number.) higher on the final exam. O The slope has no practical meaning since you cannot predict what any individual student will score on the final. i. Interpret the y-intercept in the context of the question: O The y-intercept has no practical meaning for this study. O The average final exam score is predicted to be 60. The best prediction for a student who doesn't study at all is that the student will score 60 on the final exam. O lf a student does not study at all, then that student will score 60 on the final exam.
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