Explain the present worth of a uniform series payment.

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Following are the data of gauge and discharge collected at a particular section of the river by stream gauging operation. Gauge reading Discharge Gauge reading Discharge (m) (cms) (m) (cms) 7.65 15 8.48 170 7.70 30 8.98 400 7.77 57 9.30 600 7.80 39 9.50 800 7.90 60 89 10.50 1500 7.91 100 11.10 2000 8.08 150 11.70 2400 1. Develop a rating curve for this stream at this section for use in estimating the discharge for a known gauge reading and fit a linear regression equation for use in estimation of stage for a known value of discharge. Use a value of 7.50 as the gauge reading corresponding to zero discharge. (20 pts) Equation 1 arith 2. What is the coefficient of correlation of the derived relationship? (10 pts) R2² arith Equation 2 log R2 log 3. Determine the stage for a discharge of 3500 cms (5 pts) 4. Determine the discharge for a stage of 15 m (5 pts) NB Do both arithmetic and logarithmic plots

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Chapter 20.5, Problem 2BYG

To determine

Explain the present worth of a uniform series payment.

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Following are the data of gauge and discharge collected at a particular section of the river by stream gauging operation. Gauge reading Discharge Gauge reading Discharge (m) (cms) (m) (cms) 7.65 15 8.48 170 7.70 30 8.98 400 7.77 57 9.30 600 7.80 39 9.50 800 7.90 60 89 10.50 1500 7.91 100 11.10 2000 8.08 150 11.70 2400 1. Develop a rating curve for this stream at this section for use in estimating the discharge for a known gauge reading and fit a linear regression equation for use in estimation of stage for a known value of discharge. Use a value of 7.50 as the gauge reading corresponding to zero discharge. (20 pts) Equation 1 arith 2. What is the coefficient of correlation of the derived relationship? (10 pts) R2² arith Equation 2 log R2 log 3. Determine the stage for a discharge of 3500 cms (5 pts) 4. Determine the discharge for a stage of 15 m (5 pts) NB Do both arithmetic and logarithmic plots

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