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2. The ages (in years) and the number of hours of sleep in one night for seven adults are given in below. Age, x 35 20 59 42 68 38 75 Hours of sleep, y 9 5 5 8 a. (1.5pts) Carefully sketch a scatterplot of the data and label the axes. b. (1.5pts) Compute the correlation coefficient r. What does this value tell you about the data? c. (1.5pts) Find the line-of-best-fit. d. (1.5pts) What is the slope? Include units in your answer. Interpret this value in context. e. (1.5pts) How many hours of sleep does the model predict a person of age 25 will get in one night? f. (1.5pts) Mallory is the individual in the table above who is 20-years old and sleeps an average of 9 hours each night. Identify the residual associated with Mallory's data point. What does this residual mean in context? (1pt) Can we conclude that older age causes a decrease in the number of hours an individual sleeps in one night? Why or why not