Suppose for a given set of data we have the following information for two variables x and y:

n = 10

x = 19.31

y = 16.63

= 1.30647

= 2.41069

= 0.85121

With regards to the above information, perform the following:

What is meant by regression analysis? (2 marks)

With regards to the regression equation:

Calculate the value of the b coefficient to 2 decimal places. (2 marks)

Calculate the value of the a coefficient to 2 decimal places. (3 marks)

Using the least squares regression coefficients (calculated in (i) and (ii)), write down the regression equation of the regression line. (2 marks)

Calculate the squared correlation coefficient (coefficient of determination). (3 marks)

From (c) comment whether you suggest that the estimated regression line is a good fit or not. Justify your answer (2 marks)