1. (Prob. 11-12, p. 438) An article in the Journal of Environmental Engineering (1989, Vol. 115(3), pp.608–619) reported the results of a study on the occurrence of sodium and chloride in surfacestreams in central Rhode Island. The following data are chloride concentration y (in milligrams perliter) and roadway area in the watershed x (in percentage).y4.46.69.710.610.810.90.190.150.570.700.670.63y11.812.114.314.715.017.30.470.700.600.780.810.78y19.223.127.427.731.839.50.691.301.051.061.741.62a.Draw a scatter diagram of the data. Does a simple linear regression model seem appropriatehere?b. Fit the simple linear regression model using the method of least squares. Find an estimate ofo?.C.Estimate the mean chloride concentration for a watershed that has 1% roadway area.d. Find the fitted value corresponding to x = 0.47 and the associated residual.

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Answered: (Prob. 11-12, p. 438) An article in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The article "Lead Dissolution from Lead Smelter Slags Using Magnesium Chloride Solutions" (A. Xenidis, T. Lillis, and I. Hallikia, The AusIMM Proceedings, 1999:37-14) discusses an investigation of leaching rates of lead in solutions of magnesium chloride. The data in the following table (read from a graph) present the percentage of lead that has been extracted at various times (in minutes). Time (t) 4 8 16 30 60 120 Percent extracted (v) |1.2 1.6 2.3 2.8 3.6 4.4 a. The article suggests fitting a quadratic model y = Bo + B,t + Bz² + ɛ to these data. Fit this model, and compute the standard deviations of the coefficients. b. The reaction rate at time t is given by the derivative dy/dt = B, + 2B,t. Estimate the time at which the reaction rate will be equal to 0.05. c. The reaction rate at t = Oisequal to B1. Find a 95% confidence interval for the reaction rate at t = 0. d. Can you conclude that the reaction rate is decreasing with time? Explain.
2.) Explain why the relative frequency column of a frequency table might not sum to 1.0.
A random sample of 42 earthquakes that have occurred between January 2015 and September 2017 was selected and for each earthquake the magnitude of the earthquake and the number of people killed was recorded. The data appear in the scatterplot below. 400 350 300 250 200 150 100 50 0 3 -50 4 5 6 7 8 9 10 -100 -150 Magnitude of Earthquake 8 Consider the scatterplot above question 2. Use this scatterplot to describe completely the relationship between the magnitude of the earthquake and the number of people killed. Positive and linear Negative, moderate, linear O Negative, strong, linear Positive, moderate, linear Number of People Killed ---
4.) A person's muscle mass is expected to decrease with age. To explore this relationship, a researcher randomly selected 10 persons from ages 40 to 79 years old and measured their muscle mass (unit). The result is as follows: X (age) Y (muscle mass) 71 64 43 67 56 73 68 56 76 65 82 91 100 68 87 73 78 80 65 84 Based on the given data, do the following: a) Plot the scatter diagram of the given data. [3pts] b) Obtain the regression line equation. [4pts] c) Estimate the muscle mass when age of the person is 60 years old. [3pts] 5.) Recognize how each shape has transformed. [2pts each] a.) b.) c.)
c)
1. The data in Table 7–6 were collected in a clinical trial to evaluate a new compound designed to improve wound healing in trauma patients. The new compound was com- pared against a placebo. After treatment for 5 days with the new compound or placebo, the extent of wound healing was measured. Is there a difference in the extent of wound healing between the treatments? (Hint: Are treatment and the percent wound healing independent?) Run the appropriate test at a 5% level of significance. Use the data in Problem 1. Pool the data across the treatments into one sample of size n = 250. Use the pooled data to test whether the distribution of the percent wound healing is approximately normal. Specifically, use the following distribution 30%, 40%, 20%, and 10% and a = 0.05 to run the appropriate test. Percent Wound Healing Treatment 0-25% 26-50% 51-75% 76-100% New compound (n=125) 15 37 32 41 Placebo (n=125) 36 45 34 10
The following table contains the average number of employees per 100 hectares (x) and the production rate per 100 hectares (y) at 15 different farms in a region. y 7.5 404 16.6 702 10.9 507 6.5 385 10 464 12.1 495 8.6 400 10.2 503 7.5 310 268 6.2 280 12 596 17.1 711 14.1 551 6.1 242
1. Report the answer with the correct number of significant figures: a b C d e |f 6.0 g Ih li lj 1.4 +2.35 = 7.635 +2.34 = 13.627 -1 = 11.681 3.2 = 14.40 +2.6 - 7.211 = 13.60*3= |27.1*3.47 = 69.3 / 2.467 = 47.321/5.7 = 72.367/8.34 * 2.1 =

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