Question 2 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. Time 7 16 11 9 7 4 10 Score 86 58 100 100 67 75 89 78 85 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? H1: ? %3D 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 conte %3D 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 significant evidence to conclude that there is a correlation between th time spent studying and the score on the final exam. Thus, the regression line is useful. 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. O There is statistically insignificant evidence to conclude that there is a correlation between t time spent studying and the score on the final exam. Thus, the use of the regression line is n appropriate.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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nyTM Up to 12-hour battery life 14" FHD IPS display
Week 14: Chapter 12 - Linear Re X
ightingale.instructure.com/courses/3057255/assignments/28988705?module_item_id=6243)
ble Flash...
Question 2
<>
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.
Time
7
16
11
9.
7
4.
10
Score
86
58
100
100
67
75
89
78
85
a. Find the correlation coefficient: r =
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Ho: ? v
H1: ? v
= 0
The p-value is:
(Round to four decimal places)
c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context
of the study.
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.
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 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.
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.
d. p2 =
(Round to two decimal places)
e. Interpret r2:
O Given any group that spends a fixed amount of time studying per week, 77% of all of those
students will receive the predicted score on the final exam.
acer
Transcribed Image Text:* 12 nyTM Up to 12-hour battery life 14" FHD IPS display Week 14: Chapter 12 - Linear Re X ightingale.instructure.com/courses/3057255/assignments/28988705?module_item_id=6243) ble Flash... Question 2 <> 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. Time 7 16 11 9. 7 4. 10 Score 86 58 100 100 67 75 89 78 85 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? v H1: ? v = 0 The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. 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. 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 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. 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. d. p2 = (Round to two decimal places) e. Interpret r2: O Given any group that spends a fixed amount of time studying per week, 77% of all of those students will receive the predicted score on the final exam. acer
Up to 12-hour battery life 14" FHD IPS display
O Week 14: Chapter 12 - Linear Re X
htingale.instructure.com/courses/3057255/assignments/28988705?module_item_id%3D6243711-
Flash..
appropriate.
d. r2 =
(Round to two decimal places)
e. Interpret 72:
O Given any group that spends a fixed amount of time studying per week, 77% of all of those
students will receive the predicted score on the final exam.
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 77%.
O77% of all students will receive the average score on the final exam.
O There is a 77% chance that the regression line will be a good predictor for the final exam score
based on the time spent studying.
f. The equation of the linear regression line is:
=
x (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 =
(Please round your answer to the nearest whole number.)
h. Interpret the slope of the regression line in the context of the question:
O For every additional hour per week students spend studying, they tend to score on averge 2.52
higher on the final exam.
O As x goes up, y goes up.
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:
The y-intercept has no practical meaning for this study.
The best prediction for a student who doesn't study at all is that the student will score 64 on
the final exam.
O If a student does not study at all, then that student will score 64 on the final exam.
O The average final exam score is predicted to be 64.
acer
Transcribed Image Text:Up to 12-hour battery life 14" FHD IPS display O Week 14: Chapter 12 - Linear Re X htingale.instructure.com/courses/3057255/assignments/28988705?module_item_id%3D6243711- Flash.. appropriate. d. r2 = (Round to two decimal places) e. Interpret 72: O Given any group that spends a fixed amount of time studying per week, 77% of all of those students will receive the predicted score on the final exam. 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 77%. O77% of all students will receive the average score on the final exam. O There is a 77% chance that the regression line will be a good predictor for the final exam score based on the time spent studying. f. The equation of the linear regression line is: = x (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 = (Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question: O For every additional hour per week students spend studying, they tend to score on averge 2.52 higher on the final exam. O As x goes up, y goes up. 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: The y-intercept has no practical meaning for this study. The best prediction for a student who doesn't study at all is that the student will score 64 on the final exam. O If a student does not study at all, then that student will score 64 on the final exam. O The average final exam score is predicted to be 64. acer
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