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Problem # 5 ( pts) Sand driven by wind creates large beautiful dunes at the Great Sand Dunes National Monument, Colorado. ... Is there a linear correlation between wind velocity and sand drift rate? Let x be a random variable representing wind 7 velocity (in 10 cm/sec) and let y be a random variable representing drift rate of sand (in 100 g/cm/sec). The data are listed in the table below. (x) 70 115 105 82 93 125 88 (y ) 23 15 21 17 16 22 12 a) Find the correlation coefficient r b) find the regression equation c) Graph the regression equation through the scatter plot. (Hint: Construct the scatter plot first) 8 Problem # 6 ( pts) The following table represents the data for monthly incomes and food expenditures of seven households from low- to moderate-income neighborhood (in hundreds of dollars) Income (x ) 35 49 21 39 15 28 25 Food expenditure (y) 9 15 7 11 5 8 9 a) Find the regression equation ) Construct the scatter plot c) Graph the regression equation through the scatter plot