MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- A chemical reaction is run 12 times, and the temperature x¡ (in °C) and the yield y; (in percent of a theoretical maximum) is recorded each time. The following summary statistics are recorded: 12 y = 29.05 Ex, – T = 6032.0 I= 65.0 12 12 Z0. -T = 835.42 E(*, -(V -F) = 1988.4 %3D Let Bo represent the hypothetical yield at a temperature of 0°C, and let ß1 represent the increase in yield caused by an increase in temperature of 1°C. Assume that assumptions 1 through 4 on page 549 hold. Compute the least-squares estimates o and î a. Compute the error variance estimate s?. Find 95% confidence intervals for ßo and ß1. b. C. A chemical engineer claims that the yield increases by more than 0.5 for each 1°C increase in temperature. Do the data provide sufficient evidence for you to conclude d. that this claim is false? Find a 95% confidence interval for the mean yield at a temperature of 40°C. e. f. Find a 95% prediction interval for the yield of a particular reaction at a temperature of 40°C.arrow_forwardSuppose X~N(162,14) and Z~N(0,1). If z = -0.74, what is it on an X scale? Express your answer to two decimal places (ex: 123.45).arrow_forward8. Find za/2 for a = 0.04.arrow_forward
- Which of the following is a valid pdf (accounting for rounding)? a.) f(x)= (x2+2)/10 x= 1,2 b.) f(x)= (x2-2)/7 x= 1,2,3 c.) f(x)= 3(x3/x) x= 0.2, 0.3655, 0.4 d.) f(x)= (x+1)/3 e.) x/50 x= 10, 20, 30arrow_forward7. When a 0.01, the critical values are %3D A. ±1.65 B. +1.96 C. +2.33 D. +2.58 Scanned with CamScannerarrow_forwardYour regression of 46 observations and 5 regressors shows a -2 R = 0.29. What is the value of R²? Enter your answer with two decimal places.arrow_forward
- Suppose X~N(169,6) and Z~N(0,1). If z = -1.26, what is it on an X scale? Express your answer to two decimal places (ex: 123.45).arrow_forward229 25. Researchers have observed that rainforest areas next to clear-cuts (less than 100 meters away) have a reduced tree biomass compared to rain- forest areas far from clear-cuts. To go further, Laurance et al. (1997) tested whether rainforest areas more distant from the clear-cuts were also affected. They compiled data on the biomass change after clear-cutting (in tons/hectare/year) for 36 rainforest areas between 100 m and sev- eral kilometers from clear-cuts. The data are as follows: -10.8, -4.9, -2.6, -1.6, -3, -6.2, -6.5, -9.2, -3.6,-1.8, -1.0, 0.2, 0.2, 0.1, -0.3, -1.4, -1.5, -0.8, 0.3, 0.6, 1.0, 1.2, 2.9, 3.5, 4.3, 4.7, 2.9, 2.8, 2.5, 1.7, 2.7, 1.2, 0.1, 1.3, 2.3, 0.5. These measurements are plotted in the following histogram: Frequency 14- 12- 10- 8- 64 2 0 -12.5 -10 -7.5 -5 -2.5 0 2.5 5 Biomass change Test whether there is a change in biomass of rain- forest areas following clear-cutting. hite the voragious habitatarrow_forwardWhat was the maximum sustained yield under the logistic harvest model when k=500 and r=0.4? Values 1 500 1000 49L K L N N.d num [1:601] 0 123456789... num [1:50] 5 157.502 1079.678 0.732 24.054 ... num [1:50] 114 329 349 350 350 ... 0.4 int [1:50] 1 2 3 45678910 50 t Nt r Z Z L P T time y Files Plots Packages Help Viewer Presentation Zoom Export num [1:601] 0.4 0.399 0.398 0.398 0.397 ... Publish Observed Growth Rate 69 -0.1 0.1 0.3 0.5 Observed Growth Maximum Growth Carrying Capacity 0 100 200 300 400 500 600arrow_forward
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