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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In a test comparing vinyl and latex laboratory gloves, it was found that 68% of the vinyl gloves leaked (allowing viruses to pass through) but only 6% of the latex gloves leaked. Using the first percentage as the reference value, express the change in two ways, (1) as an absolute difference in terms of percentage points and (2) as a relative difference in terms of a percentage.
35 The equation for yearly sales (in 000 Rs.) for a commodity with year 1971 as origin Y= 91.6 + 28.8X. Determine the trend equation to give monthly trend values with Jan. 1972 as origin and calculate the trend for March 1972.
The equation of the trend line is W = 30.94(1+0.00763)L. What is the growth rate of the trend line's equation? Express the growth rate as a percentage. Include units.
Using the weights (lb) and highway fuel consumption amounts (mi/gal) of the 48 cars listed in the accompanying data set, one gets this regression equation: y = 58.9-0.00749x, where x represents weight. Complete parts (a) through (d). Click the icon to view the car data. The site to your captio V.UVITU. D. The slope is -0.00749 and the y-intercept is 58.9. c. What is the predictor variable? ... OA. The predictor variable is highway fuel consumption, which is represented by x. OB. The predictor variable is highway fuel consumption, which is represented by y. C. The predictor variable is weight, which is represented by x. OD. The predictor variable is weight, which is represented by y. d. Assuming that there is a significant linear correlation between weight and highway fuel consumption, what is the best predicted value for a car that weighs 2994 lb? The best predicted value of highway fuel consumption of a car that weighs 2994 lb is (Round to one decimal place as needed.) mi/gal.
The regression line, y = 23.4 -0.07x, passes the horizontal axis at 334.3 -0.07 O -23.4 0.07 23.4 O-334.3
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and the number of sit-ups a person can do (y). The results were: Y a+bx b = -0.79 = 23.04 a r² = 0.4493 r = -0.6703 a. If a person watches 10 hours of television a day, predict how many sit-ups he can do. b. If a person can do 7 sit ups, predict how many hours of television a day they watch. hours
The following is a monthly trend equation : Y. = 20 + 2X [Origin : Jan., 1992 ; Convert it into an annual trend equation. X unit = One month ; Y unit = Monthly sales (in '000 $ )
For 39 nations, a correlation of 0.887 was found between y = Internet use (%) and x = gross domestic product (GDP, in thousands of dollars per capita). The regression equation is y = -3.68 + 1.73x. Complete parts (a) through (c). a. Based on the correlation value, the slope had to be positive. Why? A. The slope and correlation are positive because gross domestic product could not be negative. B. The correlation and the slope are positive because the y-intercept is negative. C. That is a very unusual fact, because the slope and correlation usually have different signs. D. Although slope and correlation usually have different values, they always have the same sign.
This is a regression model of how many potato chips one can eat while watching a movie: Y=-2.014*x+40 and the R squared is 0.5 How many chipsp are to be eaten in a 12 hour period?
In calculating a simple regression for average number of drinks consumed (x) and grade point average (y), you get a slope coefficient (b) of -.15 and a y intercept of 2.50. Using the formula Y = a + bX, what would the predicted grade point average be for a student who averaged 1.0 drinks per week?
lakhs) of a certain commodity for the year On the basis of quarterly sales (in 2008-12, the following calculations were made : Trend: Y = 20 + 0.5 t with origin at 1st quarter of 2008. where 1 = time unit = one quarter and y = quarterly sales ( Seasonal variations: Quarter I II III IV Seasonal Index 80 90 120 110 Estimate the quarterly sale for the year 1979 using multiplicative model.
In running a logistic regression, a statistician decided to include decade of life (20s, 30s, 40s, 50s, 60s) as a categorical variable in the systematic component because they didn't believe the relationship between the log-odds and age was linear. Using dummy variables to create the systematic component, how many dummy variables would be needed to represented age?

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