Researcher considers using regression analysis to establish a linear relationship between the two variables; food expenditure and weekly take-home pay. Using no more than "250 words" in total for this question, answer the following questions.

a)What is the dependent variable and independent variable for this analysis? Why?

b) Present an appropriate plot to investigate the relationship between the two variables. On the same plot, fit a linear trend line and comment on the direction of the linear relationship between weekly take-home pay and weekly food expenditure. ?

c) Compute a numerical summary measure to measure the strength and the direction of the linear relationship between the two variables. Interpret this value.

d) Estimate a simple linear regression model and present the estimated linear equation. Display the regression summary table and interpret the intercept and slope coefficient estimates of the estimated linear model.

e) Comment on the fitness of the model using the appropriate information in the Regression Summary Output table.

f) Test whether a linear relationship exists between weekly take-home pay and weekly food expenditure at the 5% significance level (hint: use the p-value method).