Question: Question 3 (25 MARKS) The data below show the income level and donating percent of 6 workers. Income level Donating (1000s of S).x percent. y

 Question 3 (25 MARKS) The data below show the income level

and donating percent of 6 workers. Income level Donating (1000s of S).x

Question 3 (25 MARKS) The data below show the income level and donating percent of 6 workers. Income level Donating (1000s of S).x percent. y 50 65 48 10 42 9 59 72 w (a) Calculate the correlation coefficient for the income level and donating percent. [5marks] (b) Is the correlation Coefficient significant? Use a = 0.01. [5marks] (c) Find the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? [5marks] (d) Find the equation of the regression line for the income level and donating percent. [5marks] (e) Construct a 95% prediction interval for the donating percent when the income level is $ 60,000. [5marks]

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