An experiment was performed to determine the degradationrate of a drug. The natural log of the concentration of the drugin mg/ml (y-axis) was plotted as a function of time n months (x-axis). A linear trend-line of the data yielded the equation: y=-0.3466x + 8.0709. Calculate the concentration of drugremaining after 8 months, rounded to the nearest 1 decimalplace in mg/ml.

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Answered: An experiment was performed to…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+ba=-0.759b=20.094r2=0.573049r=-0.757 Use this to predict the number of situps a person who watches 7 hours of TV can do (to one decimal place)
The regression slope predicts the change in Y per unit change in X. True False
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:ŷ=ax+b a=-1.108 b=21.055 r2=0.81 r=-0.9 Use this to predict the number of situps a person who watches 6 hours of TV can do (to one decimal place)
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:ŷ=a+bx a=38.98 b=-1.245 r2=0.802816 r=-0.896 Use this to predict the number of situps a person who watches 9 hours of TV can do (to one decimal place)
The linear regression equation for predicting systolic blood pressure from age is as follows: y = 42 + 2.5x . Find the residual for a person who is 21 years of age with a systolic blood pressure of 91.9.
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-1.375 b=26.852 r2=0.395641 r=-0.629 Use this to predict the number of situps a person who watches 14 hours of TV can do (to one decimal place)
The line of best fit through a set of data is ý = 14.714 – 3.985x According to this equation, what is the predicted value of the dependent variable when the independent variable has value 180? Round to 1 decimal place.
A red maple sapling was 3 feet tall when planted in 2010. Six years later, the tree was 18 feet tall. The growth rate of the tree is constant over time. Find a linear model for the height H (in ft) of the red maple t years after 2010. Let t = 0 represent 2010. H = What is the expected height (in ft) of the red maple in 2020? ft
Does how long young children remain at the lunch table help predict how much they eat? Twenty toddlers were observed over several months at a nursery school. "Time" is the average number of minutes a child spent at the table when lunch was served. "Calories" is the average number of calories the child consumed during lunch, calculated from careful observation of what the child ate each day. A regression was run and the results were: = 114 + 2.4*x R² = 0.68 r = 0.822 Predict the number of calories a toddler consumes who remains at the table for 14.5 minutes (round your answer to two decimal places)
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were: y=ax+b a=-0.609 b=27.646 r2=0.910116 r=-0.954 Use this to predict the number of situps a person who watches 12 hours of TV can do (to one decimal place)
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:y=ax+b a=-0.96 b=35.944 r2=0.736164 r=-0.858 Use this to predict the number of situps a person who watches 10.5 hours of TV can do (to one decimal place)
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:y=ax+b a=-0.96 b=35.944 r2=0.736164 r=-0.858 Use this to predict the number of situps a person who watches 10.5 hours of TV can do (to one decimal place)

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