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What is the relationship between the amount of time statistics students study per week and their...

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What is the relationship between the amount of time statistics students study per week and their final exam scores? The resul74% of all students will receive the average score on the final exam. There is a 74% chance that the regression line will be

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 Score 3 10 15 512 015 58 75 89 89 77 79 54 96 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? - 0 H: 70 (Round to four The p-value is: 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. 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. 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. 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 a student who spends more time studying will score higher on the final exam than a student who spends less time studying. d. m? (Round to two decimal places) e. Interpret 2 74% of all students will receive the average score on the final exam. There is a 74% chance that the regression line will be a good predictor for the final exam score based on the time spent studying. Given any group that spends a fixed amount of time studying per week, 74% of all of those students will receive the predicted score on the final exam. There is a large variation in the final exam scores that students receive, but a fixed amount of time studuino por un
74% of all students will receive the average score on the final exam. There is a 74% chance that the regression line will be a good predictor for the final exam score based on the time spent studying. Given any group that spends a fixed amount of time studying per week, 74% of all of those students will receive the predicted score on the final exam. 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 74%. f. The equation of the linear regression line is: ŷ = 2 (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.)

Answers

a) Correlation coefficient r = 0.93.

The provided data are shown in the table below х Y 3 58 10 75 15 89 5 77 12 79 0 54 15 96 Also, the following calculations ar

b) The null and alternative hypotheses are

Ho: p=0

H:P70

P-Value = 0.0024

The following needs to be tested: Ho : p=0 HA :p=0 where p corresponds to the population correlation. The sample size is n =

c) 1st option is correct: There is statistically significant evidence to conclude that there is a correlation between the time spent studying and the score on the final examexam. Thus, the regression line is useful.

d) r^2 = 0.87.

These are the data that have been provided for the dependent and independent variable: Obs. Score Time 1 3 58 2 10 75 3 15 89

Now, the correlation coefficient is computed using the following expression:: SSXY r VSSxx SSyy 506.2857 V213.7143 x 1385.714

f)

The following data are passed: Time Score 3 58 10 75 15 89 5 77 12 79 0 54 15 96 The independent variable is Time, and the de

g) Score = 55.123 + 2.369*11 = 81.182

Score = 81.

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