Please explain and provide the answers for these question.

QUESTION 1 For eight consecutive months, a factory manager recorded the number of items produced (x, in 00's) and the cost of the company's production (y, in $'000). The following table summarizes the manager's data. Number of items (x) 18 36 55 40 13 33 10 53 Production cost (y) 39 55 60 45 35 40 24 100 (a) Draw a well labeled scatter plot diagram for the data. [4 marks] (b) Find the equation of the least squares regression line. [6 marks] (c) Predict the production cost if the company produces 2800 items. [2 marks] (d) Compute the Product Moment Correlation Coefficient (r) and interpret your result. [6 marks] (e) Compute the Coefficient of Determination and interpret your answers. [2 marks] QUESTION 2 The Jamaica Beverage Company is concerned that the 1.6 litres bottles of natural juice are being overfilled. The quality control department took a random sample of 90 bottles and found that the mean volume was 1.61 litres. If the population standard deviation is 0.05 litres. At the 1% level of significance, can we conclude that the mean volume is greater than 1.6 litres? [5 marks]