The velocity of a river is controlled by a variety of factors and the highest ve

Question

The velocity of a river is controlled by a variety of factors and the highest velocity is usually in the deepest part of the channel, just below the surface. This data was acquired below the Grand Coulee Dam at a distance 13 feet from the edge of the river. The depth at that location is measured in feet and the velocity in ft per second. depth 125140145 155 70 175 18.619.810.6 velocity 1.5) 1.1 1 1.3 1.39 1 . 14 | 0.9| 0.59 || 0.59 | 0.41 (a) Find the equation of the least-squares (linear regression) line for the data. (Round coefficients to 4 decimal places.) x + Use the regression equation to answer these questions. l places. ft (c) Predict the velocity of the river at the depth of 17ft. Round your answer to three decimal places. ft/sec

Explanation / Answer

a) y = 0.0077x+0.7258

b) 1.3=0.0077x+0.7258

x = 74.57 ft

y = 0.0077*17+0.7258

y = 0.857 ft/sec

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