The following data define the sea-level concentration of dissolved oxygen for fresh water as afunction of temperature:T,°C0816243240o, mg/L14.621 11.843 9.870 8.418 7.305 6.413Estimate o(27) using (a) linear interpolation, and (b) Newton's interpolating polynomial.Answer:a. o(27) = 8.00064 mg/Lb. o(27)=7.96415 mg/L

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Answered: The following data define the sea-level…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?
A farmer in Indiana wants to examine the relation between the number of very hot days (days when the high temperature exceeds 95° F) and the corn production of his farm (in bushels of corn per acre). He looks at the data for 10 summers. Let x¡ = the number of hot days during the ith summer. %3D = the corn production (in bushels per acre) during the ih summer. Let yi The data are in the table below:. 4 6. 7 8. 9. 10 i 2 14 10 7. 8. 1 12 Xi Yi 95 80 83 87 88 85 99 102 79 95 a) Make a scatterplot of the data. b) Examine your scatterplot and, without performing any calculations, EXPLAIN whether you expect the correlation coefficient to be closer to -1, 0, or 1 and WHY. c) Find the sample mean and standard deviation for each variable. %3D %3D S. %3D y d) Place an asterisk on your scatterplot at the point (x,ỹ).
The saturation concentration of oxygen dissolved in water is a function of temperature and chlorine concentration as given in the table. For T=18°C and chlorine concentration =10,000mgL/, calculate the dissolved oxygen level by sequential interpolation. Temperature°C Chlorine= 0 mg/L Chlorine= 10,000 mg/L Chlorine 20,000 mg/L 12.8 11.6 10.5 10 11.3 10.3 9.2 15 10.0 9.1 8.2 20 9.0 8.2 7.4 25 8.2 7.4 6.7 30 7.4 6.8 6.1
Medical studies of obesity use the Body Mass Index (BMI), which is defined by w BMI = where w is weight in kilograms and h is height in meters.
The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI = - 42.379 + 2.049015237 + 10.14333127h, – 0.22475541Th, – (6.83783 × 10-³)T² - (5.481717 x 10-3)h,² + (1.22874 × 10-³)7°h, + (8.5282 - 10-4)Th,² - (1.99 x 10-")T®h,?. a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2°F per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107°F with a relative humidity of 8%?
A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.67 0.70 0.93 0.95 1.09 1.01 1.29 1.24 1.41 1.56 1.73 1.80 Units of BCI (Y) 14.4 20.9 16.2 25.0 18.9 19.8 20.7 22.1 23.9 24.9 27.6 29.7 Find the correlation coefficient between pH and BCI (round to the nearest hundredth; place your answer in the box below)
A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.65 0.75 0.89 0.94 1.12 1.16 1.29 1.35 1.48 1.56 1.73 1.80 Units of BCI (Y) 16.0 18.9 15.6 21.1 23.6 24.9 26.1 29.2 19.3 30.7 33.7 29.4 Find the coefficient of determination between pH and BCI (round to the nearest hundredth; place your answer in the box below)
The population of a small country by year is shown in the table below. Year 1960 1955 284496 Population 367825 The absolute change in the between 1960 and 1965 is: 83329 The percentage change in the population between 1960 and 1965 : 773 • The average rate of change in the population between 1960 and 1965 is: Interpolate to predict the population of the state in 1963. • Interpolate to predict the population of the state in 1968. • Extrapolate to predict the population of the state in 1977. 1965 1970 510844 679471 (Round your answer to o ong decimal place) people per year (Give your exact answer) people people (Round to the nearest whole number) people (Round to the nearest whole number) people (Round to the nearest whole number)
Medical studies of obesity use the Body Mass Index (BMI), which is defined by w BMI = where w is weight in kilograms and h is height in meters. (a) Using the fact that 1 kg = 2.2 lb and 1 meter = 39.4", calculate the BMI of a 5'5" woman who weighs 150 lb. (b) Which has more effect on the BMI: a 10% weight increase or a 10% height decrease? Justify your answer.
The population of a small country by year is shown in the table below. Year 1955 1960 Population 284496 367825 The absolute change in the between 1960 and 1965 is: 83329 The percentage change in the population between 1960 and 1965 is: 77.3 The average rate of change in the population between 1960 and 1965 is Interpolate to predict the population of the state in 1963. • Interpolate to predict the population of the state in 1968. • Extrapolate to predict the population of the state in 1977. 1965 1970 510844 679471 people (Round your answer to ong decimal place.) people per year (Give your exact answer) people (Round to the nearest whole number) people (Round to the nearest whole number) people (Round to the nearest whole number)
pan's high population density has resulted in a multitude of resource-usage problems. One especially serious difficulty concerns waste removal. An article reported the development of a new compression machine for processing sewage sludge. An important part of the investigation involved relating the moisture content of compressed pellets (y, in %) to the machine's filtration rate (x, in kg-DS/m/hr). The following data was read from a graph in the article. x 125.8 98.1 201.4 147.3 145.9 124.7 112.2 120.2 161.2 178.9 159.5 145.8 75.1 151.5 144.2 125.0 198.8 133.9 y 77.9 76.8 81.5 79.8 78.2 78.3 77.5 77.0 80.1 80.2 79.9 79.0 76.9 78.2 79.5 78.1 81.5 71.0 (a) Determine the slope and intercept of the estimated regression line. (Round your answers to 5 decimal places, if needed.)slope: intercept: (b) Does there appear to be a useful linear relationship? Carry out a test using the ANOVA approach and a significance level of 0.05. State the appropriate null and alternative hypotheses.…
An experiment is performed to determine the % elongation of electrical conducting 1 material as a function of temperature. The relating data is - Temp C % elongation Use the above da:a to interpolate the % elongation for a temperature of 400°C. 200 250 300 375 425 475 525 500 13 13 15 17 19 20 23

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