Problem
College leadership wants to make a simple linear regression model.
I. First make scatterplot using Class Size as the independent variable and Average Final Grade as the dependent variable.
II. After performing a visual analysis of the scatterplot, if appropriate, construct a simple linear regression model using class size to predict a student's final grade.
III. Using your simple linear regression model, what is the value for the slope for this regression model? Interpret the slope is this context.
IV. What is the value for the y-intercept for this regression model? Interpret the y-intercept in this context.
V. College leadership is interested in forecasting a student's final grade based upon the class size of the statistics course. Using your simple linear regression model, what is the predicted Average Final Grade of a statistics class when the Class Size is 35?
VI. Based upon your simple linear regression, should the college's leadership be concerned with student performance in large class sizes (greater than 35 students) for statistics? kindly Explain.
VII. Using your simple linear regression model, for each one student increase in class size, how much would one predict the class' average final grade to decrease?