Question 33 - please solve letter D-I Question 33☐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.VTime 6 16 8 12 6 15 7Score 61 83 80 84 59 9171a. Find the correlation coefficient: r = 0.86b. The null and alternative hypotheses for correlation are:Ho: pv = 0H₁: p0The p-value is: 0.0141 (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.80F3O There is statistically insignificant evidence to conclude that a student who spends more timestudying will score higher on the fin exam than a student who spends less time studying.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.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.d. ² =(Round to two decimal places)Round to 2 decimal places.e. Interpret 7².O 73% 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, 73% of all of thosestudents will receive the predicted score on the final exam.O There is a 73% chance that the regression line will be a good predictor for the final exam scorebased on the time spent studying.f. The equation of the linear regression line is:ŷ =000900F4O 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 73%.(Please show your answers to two decimal places)..F5F6◄◄F7DIIF8DDF9 #e. Interpret ²:O 73% 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, 73% of all of thosestudents will receive the predicted score on the final exam.O There is a 73% chance that the regression line will be a good predictor for the final exam scorebased on the time spent studying.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 73%.f. The equation of the linear regression line is:+(Please show your answers to two decimal places)g. Use the model to predict the final exam score for a student who spends 6 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:80F3O As x goes up, y goes up.O The slope has no practical meaning since you cannot predict what any individual student willscore on the final.O For every additional hour per week students spend studying, they tend to score on averge 2.44higher on the final exam.i. Interpret the y-intercept in the context of the question:O If a student does not study at all, then that student will score 51 on the final exam.The best prediction for a student who doesn't study at all is that the student will score 51 onthe final exam.O The y-intercept has no practical meaning for this study.O The average final exam score is predicted to be 51.Hint: Helpful Video on the Linear Regression Line [+]Helpful Video on Correlation[+]Helpful Video on Hypothesis Tests for CorrelationHints[+]Submit QuestionSAF4do%F5

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Question 33 - please solve  letter D-I Question 33☐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.V< >Time 6 16 8 12 6 15 7Score 61 83 80 84 59 9171a. Find the correlation coefficient: r = 0.86b. The null and alternative hypotheses for correlation are:Ho: pv = 0H₁: p0The p-value is: 0.0141 (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.80F3O There is statistically insignificant evidence to conclude that a student who spends more timestudying will score higher on the fin exam than a student who spends less time studying.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.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.d. ² =(Round to two decimal places)Round to 2 decimal places.e. Interpret 7².O 73% 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, 73% of all of thosestudents will receive the predicted score on the final exam.O There is a 73% chance that the regression line will be a good predictor for the final exam scorebased on the time spent studying.f. The equation of the linear regression line is:ŷ =000900F4O 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 73%.(Please show your answers to two decimal places)..F5F6◄◄F7DIIF8DDF9 #e. Interpret ²:O 73% 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, 73% of all of thosestudents will receive the predicted score on the final exam.O There is a 73% chance that the regression line will be a good predictor for the final exam scorebased on the time spent studying.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 73%.f. The equation of the linear regression line is:+(Please show your answers to two decimal places)g. Use the model to predict the final exam score for a student who spends 6 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:80F3O As x goes up, y goes up.O The slope has no practical meaning since you cannot predict what any individual student willscore on the final.O For every additional hour per week students spend studying, they tend to score on averge 2.44higher on the final exam.i. Interpret the y-intercept in the context of the question:O If a student does not study at all, then that student will score 51 on the final exam.The best prediction for a student who doesn't study at all is that the student will score 51 onthe final exam.O The y-intercept has no practical meaning for this study.O The average final exam score is predicted to be 51.Hint: Helpful Video on the Linear Regression Line [+]Helpful Video on Correlation[+]Helpful Video on Hypothesis Tests for CorrelationHints[+]Submit QuestionSAF4do%F5<F6&F7DIIF8DDF9

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