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In: Statistics and Probability

The variable Hours Studied represents the number of hours a student studied for their final exam...

The variable Hours Studied represents the number of hours a student studied for their final exam and the variable Final Exam Grade represents the final exam score the student received on their final exam (out of 100 points).An introduction, explanation/interpretation of your analysis, and a conclusion.

Hours studied- 1, 0, 7, 9, 9, 5, 4, 2, 11, 7, 13, 3, 3, 1, 9, 7, 5, 0, 2, 8

Final Exam grade 70, 54, 81, 92, 90, 78, 75, 68, 98, 84, 100, 78, 79, 72, 88, 85, 83, 55, 73, 86

1) What are the explanatory and response variables?

2) Determine the mean, standard deviation, and five-number summary for each variable.

3) What is the value of the linear correlation coefficient?

4) Based on the value of the linear correlation coefficient, is the correlation between Hours Studied and Final Exam Grade strong or weak? Why?

5) Determine the equation of the linear regression line.

6) Use your regression equation to predict the final exam grade if a student randomly selected studied for six hours.

7) Generate a scatterplot with a fitted regression line.

8) Interpret the meaning of the slope of the regression line in terms of Hours Studied and Final Exam Grade.

9) What is the y-intercept of the regression line and what does it mean regarding Hours Studied and Final Exam Grade? Is this realistic?

10) Use your regression equation to predict the final exam grade if a student randomly selected studied for thirty hours. Is this realistic?

11) What is the value of the coefficient of determination and what does it mean regarding this data set?

Expert Solution

(1) Here , the number of hours studied by the student is the explanatory variable and the final exam grade obtained is the response variable because duration of study does effect the grade score .

(2)

orchestra answered 1 year ago

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