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d. ²: e. Interpret ²: O 73% of all students will receive the average score on the final exam. (Round to two decimal places) O Given any group that spends a fixed amount of time studying per week, 73% of all of those students 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 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 73%. f. The equation of the linear regression line is: ŷ= (Please show your answers to two decimal places)

d. ²: e. Interpret ²: O 73% of all students will receive the average score on the final exam. (Round to two decimal places) O Given any group that spends a fixed amount of time studying per week, 73% of all of those students 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 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 73%. f. The equation of the linear regression line is: ŷ= (Please show your answers to two decimal places)

MATLAB: An Introduction with Applications
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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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 final exam scores? The results of the survey are shown below. V < > Time 6 16 8 12 6 15 7 Score 61 83 80 84 59 91 71 a. Find the correlation coefficient: r = 0.86 b. The null and alternative hypotheses for correlation are: Ho: pv = 0 H₁: p0 The 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 context of the study. 80 F3 O There is statistically insignificant evidence to conclude that a student who spends more time studying 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 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 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. 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 those students 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 score based on the time spent studying. f. The equation of the linear regression line is: ŷ = 000 900 F4 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 73%. (Please show your answers to two decimal places) .. F5 F6 ◄◄ F7 DII F8 DD F9
Transcribed Image Text:Question 33 ☐ 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. V < > Time 6 16 8 12 6 15 7 Score 61 83 80 84 59 91 71 a. Find the correlation coefficient: r = 0.86 b. The null and alternative hypotheses for correlation are: Ho: pv = 0 H₁: p0 The 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 context of the study. 80 F3 O There is statistically insignificant evidence to conclude that a student who spends more time studying 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 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 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. 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 those students 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 score based on the time spent studying. f. The equation of the linear regression line is: ŷ = 000 900 F4 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 73%. (Please show your answers to two decimal places) .. F5 F6 ◄◄ F7 DII F8 DD F9
# 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 those students 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 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 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: 80 F3 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. O For every additional hour per week students spend studying, they tend to score on averge 2.44 higher 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 on the 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 Correlation Hints [+] Submit Question SA F4 do % F5 < F6 & F7 DII F8 DD F9
Transcribed Image Text:# 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 those students 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 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 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: 80 F3 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. O For every additional hour per week students spend studying, they tend to score on averge 2.44 higher 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 on the 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 Correlation Hints [+] Submit Question SA F4 do % F5 < F6 & F7 DII F8 DD F9
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