Q4)

The lecturer uses a regression analysis to further evaluate the linear relationship between the two variables - working hours per week and marks attained.

(a)Specify the dependent variable and the independent variable for this regression analysis. Briefly explain the reasoning for your selection.1 mark

(b)Use an appropriate graphical technique to draw a diagram that evaluates the relationship between the two variables.Display the diagram.On the same diagram, fit a linear trend line including the equation and the coefficient of determination R².

1.5 marks

(c)Use Excel to estimate a simple linear regression model. Display the Excel regression summary table and write the estimated linear equation.Then, provide interpretation of the intercept and slope coefficient estimates of the linear model. 3 marks

(d)Display the value of the coefficient of determination.Then, provide an interpretation of the coefficient of determination value in terms of the relationship between the two variables. 1.5 marks

Excel spreadsheet image