The data below are the gestation periods, in months, of randomly selected animals and their corresponding lifespans, in years. Gestation, x: 8 2.1 1.3 1 11.5 5.3 3.8 24.3Life span, y: 30 12 6 3 25 12 10 40

a. If you want to predict the lifespan of an animal with a certain length of gestation period, which variable will be the response variable and which one will be the explanatory variable? [2 marks]b. Compute the correlation coefficient between the gestation period and the lifespan. Interpret the value. [4 marks]c. At α = 0.05, can you conclude that there is a significant correlation between the two variables? [6 marks] (Hint: Show the key steps of test of Hypothesis.)d. Compute the coefficient of determination r2. Interpret the value. [3 marks]e. Is it gestation period alone that determines lifespan? Are there other factors that need to be considered? Justify your answer. [1 mark]f. Use the method of least squares, compute the linear regression equation that will help you predict the lifespan from the gestation period. [5 marks]g. Interpret the slope of the regression equation with reference to context. [2 marks]h. Predict the lifespan of a moose, which has an 8-month gestation period. Also, compute the residual for this lifespan. [3 marks]