What is the relationship between the amount of time statistics students study per week and their finalexam scores? The results of the survey are shown below.TimeScore34731621510395616767889075a. Find the correlation coefficient: r =b. The null and alternative hypotheses for correlation are:Hg: ?v = 0H: ?v + 0Round to 2 decimal places.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 contextof the study.O There is statistically insignificant evidence to conclude that a student who spends more timestudying 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 thetime spent studying and the score on the final exam. Thus, the regression line is useful.O There is statistically insignificant evidence to conclude that there is a correlation between thetime spent studying and the score on the final exam. Thus, the use of the regression line is notappropriate.O There is statistically significant evidence to conclude that a student who spends more timestudying will score higher on the final exam than a student who spends less time studying.d. r2 =(Round to two decimal places) e. Interpret 72 :O There is a 84% chance that the regression line will be a good predictor for the final exam scorebased on the time spent studying.O 84% of all students will receive the average score on the final exam.O Given any group that spends a fixed amount of time studying per week, 84% of all of thosestudents 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 atstudents who spend a fixed amount of time studying per week, this variation on average isreduced by 84%.f. The equation of the linear regression line is:ŷ =g. Use the model to predict the final exam score for a student who spends 5 hours per week studying.I (Please show your answers to two decimal places)| (Please round your answer to the nearest whole number.)Final exam score =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 1.89higher on the final exam.O The slope has no practical meaning since you cannot predict what any individual student willscore on the final.O As x goes up, y goes up.i. Interpret the y-intercept in the context of the question:O The best prediction for a student who doesn't study at all is that the student will score 64 onthe final exam.O The y-intercept has no practical meaning for this study.O lf 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.

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Description: What is the relationship between the amount of time statistics students study per week and their finalexam scores? The results of the survey are shown below.TimeScore34731621510395616767889075a. Find the correlation coefficient: r =b. The null and a

Time(x) Score(y) xy x2 y2 16 95 1520 256 9025 3 61 183 9 3721 4 73 292 16 5329 1 67…

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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. 16 3 4 1 2 73 Time 15 10 3 Score 95 61 67 67 88 90 75 a. Find the correlation coefficient: 1 = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: H: ?v = o H: ?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 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.

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. 16 3 4 1 2 73 Time 15 10 3 Score 95 61 67 67 88 90 75 a. Find the correlation coefficient: 1 = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: H: ?v = o H: ?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 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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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. Time 8 12 14 7 10 13 6 11 Score 87 87 100 85 93 89 76 68 81 a. Find the correlation coefficient: r = 0.71 o Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Но: р H1: p v The p-value is: 0.0328 o (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. There is statistically significant evidence to conclude that…
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