Name MidtermScore FinalExamScore John 71 78 Leon 78 84 Mary 85 90 Alice 80 92 Juan...

Name	MidtermScore	FinalExamScore
John	71	78
Leon	78	84
Mary	85	90
Alice	80	92
Juan	72	87
Abdul	81	86
Fay	79	79
Raymnd	85	89
Felix	83	87
Beth	91	95
Tasha	84	87
Emily	70	74
Doris	84	88
Xao	83	96

1. Use ggplot R coding to create a scatterplot in order to investigate if there is a linear relationship between MidtermScore and FinalExamScore. Let MidtermScore be designated x and FinalExamScore be designated y.

2. Use R coding to find the correlation coefficient. Also, using two or three sentences, comment on the strength and the direction of the scatter plot. Would it be appropriate to apply a linear regression model to this data set?

3. Use R coding to find the coefficients of the Linear Regression Equation. Write the Linear Regression (Least Squares Regression) equation.

4. Write an interpretation of the slope for the equation from problem 3.

5. Use R coding to produce the output table that gives the p values for each coefficient, the t values for each coefficient, the Standard error for each coefficient , and the Multiple-R Squared value.

6. Interpret the p values for each estimate in the table that you produced from problem 4. Also interpret the Multiple-R Squared value in the table.

7. Use your equation from problem 3 to predict a Final Exam Score given a Midterm Score of 87.

8. Find the residual for the observational score of 80 and determine if that score is above or below average.

Solutions

Expert Solution

orchestra answered 1 year ago

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