The table below shows the number of branches of a bank and number of ATMs required in the district

Number of braches Number of ATMs
3 9
5 16
8 14
12 30
15 51
16 55

a) Draw a scatter diagram (5 marks)
b) Calculate the Product-moment correlation coefficient (Pearson’s correlation coefficient) and interpret the result. (8 marks)
c) Determine the equation of the regression line. (The prediction equation). (8marks) d) Predict the number of ATMs if there are 20 branches (2 marks)