In the 1990's, research efforts have focused on the problem of predicting a manufacturer's market share using information on the quality of its product. Suppose that the following data are available on market share, in percentage (Y), and product quality, on scale of 0 to 100, determined by an objective evaluation procedure (X).

X	Y
27	2
39	3
73	10
66	9
33	4
43	6
47	5
55	8
60	7
68	9
70	10
75	13
82	12
65	8
85	14
45	7

a) Plot a scatter diagram.

b) Compute for the correlation coefficient. Interpret the result.

c). Test if the correlation coefficient is significant. Follow the stepsin hypothesis testing.

d) Find the equation of the regression line to predict market share from product quality.

e) Compute the coefficient of determination. Interpret theresult

f)Estimate the market share when the product quality is78.