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 1 13 15 3 11 8 2 Score 58 78 86 44 51 68 90 66 52 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Но: ру Hị: pv = 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 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 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 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 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. d. p2 = (Round to two decimal places)
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 1 13 15 3 11 8 2 Score 58 78 86 44 51 68 90 66 52 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Но: ру Hị: pv = 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 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 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 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 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. d. p2 = (Round to two decimal places)
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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.
Time
1
13
15
3
11
8
2
Score
58
78
86
44
51
68
90
66
52
a. Find the correlation coefficient: r =
Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Ho: pv
H: p 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.
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 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 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.
d. r2
(Round to two decimal places)
e. Interpret
:
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 77% 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.
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%.
f. The equation of the linear regression line is:
ŷ =
x (Please show your answers to two decimal places)
g. Use the model to predict the final exam score for a student who spends 5 hours per week studying.
Final exam score =
(Please round your answer to the nearest whole number.)
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