Suppose that we have collected data for AGE (Y) and Height (X) of 150 children from certain locality. The average age is 7.44+7 and average height is 56.91+7whereas variation in variable AGE is 2.10+5 and variation in variable Height is 18.62+5. The covariation between both variables 13.32+7. Use the concept of measure of central tendency and measure of dispersion to solve the following parts: a) Suppose a constant is added to each observation of the variable AGE and a constant is added to each observation in variable Height. What would be new mean and variance of both variables? (4) b) Suppose a constant 2(7) is multiplied to each observation of the variable AGE and a constant 1.2(5) is multiplied to each observation in variable Height. What would be new mean and variance of both variables? (4) c) Suppose each observation in both variables increased by %, what would be the effect on mean and variance of both variables.