In Applied Spectroscopy, the infrared reflectance spectra properties of a viscous liquid used in the electronics industry as a lubricant were studied. The designed experiment consisted of the effect of band frequency x1 and film thickness x2 on optical density y using a Perkin-Elmer Model 621 infrared spectrometer. (Source: Pacansky, J., England, C. D., and Wattman, R., 1986.) y. 0.231 0.107 740 740 1.10 0.62

In Applied Spectroscopy, the infrared reflectance spectra properties of a viscous liquid used in the electronics industry as a lubricant were studied. The designed experiment consisted of the effect of band frequency x1 and film thickness x2 on optical density y using a Perkin-Elmer Model 621 infrared spectrometer. (Source: Pacansky, J., England, C. D., and Wattman, R., 1986.) y. 0.231 0.107 740 740 1.10 0.62

Name: ŷ = bo + bịr1 + b2x2. In Applied Spectroscopy, the infrared reflectan
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: ŷ = bo + bịr1 + b2x2. In Applied Spectroscopy, the infrared reflectance spectra properties of a viscous liquid used in theelectronics industry as a lubricant were studied. The designed experiment consisted of the effectof band frequency x1 and film

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

An article in the Journal of the American Ceramic Society, "Rapid Hot-Pressing of Ultrafine PSZ Powders" (1991, Vol. 74, pp. 1547-1553) considered the microstructure of the ultrafine powder of partially stabilized zirconia as a function of temperature. The data are shown below: ... Temperature (°c) 1100 1200 1300 1100 1500 1200 1300 30.8 19.2 6 y - Porosity (%) 13.5 11.4 7.7 3.6 Find an estimate of o2 Input answers up to two decimal places. 2= Blank 1
Need help with this question. Thank you :)
We are interested in using the pH of the lake water (which is easy to measure) to predict the average mercury level in fish from the lake, which is hard to measure. Let x be the pH of the lake water and Y be the average mercury level in fish from the lake. A sample of n = 10 lakes yielded the following data: Observation (i) pH (x;) Average mercury level (y;) 0.15 1 3 4 6 7 8 9 10 8.2 8.4 7.0 7.2 7.3 6.4 9.1 5.8 7.6 8.1 0.04 0.40 0.50 0.27 0.81 0.04 0.83 0.05 0.19 Suppose we fit the data with the following regression model: Y; = a + Bx; + Ei, i = 1, ..., 10, where ɛi ~ N (0, o?) are independent. We have the following quantities: a = E=1 ¤i = 7.51, j = E1 Yi = 0.328, 1 x = 572.71, 1 Y? = 1.8922, D-1 *iYi = 22.218. i=1 ri=1 Some R output that may help. > р1 qt (p1, 8) [1] -2.896 -2.306 -1.860 -1.397 1.397 1.860 2.306 2.896 > qt (p1, 9) [1] -2.821 -2.262 -1.833 -1.383 1.383 1.833 2.262 2.821 (a) Find the ordinary least squares (OLS) estimates (denoted as â and ß) of the regression…
Q.3. As the population ages, there is an increasing concern about accident-related injuries to the elderly. The maximum lean angle, that is, the farthest that a subject is able to lean and still recover in one step, was determined for both, a sample of younger females (21-29 years old) as well as a sample of older females (67-81 years old). The following observations are consistent with the summary data: Y'F: 29, 34, 33, 27, 28, 32, 31, 34, 32, 27 OF: 18, 15, 23, 13, 12 Does the data suggest that the true average maximum lean angle for older females is more than 10 degrees smaller than it is for younger females? State and test the relevant hypotheses at a significance level of 10.
Determine the best (according to sum-of-squares-measure) curve y = Aebx , through the data above. Transformed equation ln(y) = ln(A) + bx or Y = a + bx.
Question 2: Radar detects flying objects by measuring the power reflected from them. The reflected power from the aircraft can be modeled as a random variable Y with PDF (1/ P)·e¯P fy(y) = 0 is some constant. The aircraft is correctly identified by the radar if the reflected power of the aircraft is larger than its average value. What is the P[C] that an aircraft is correctly identified?
2. Use the table of measurements of length and force that you have been supplied with to complete the following activities: (a) Draw a scatter graph for your given data. Describe what the scatter graph is indicating. (b) Use the scatter graph to estimate the length for a force of 57N (c) Calculate the line of regression of extension on force (Y on X) (d) Calculate the correlation coefficient (e) Explain what the correlation coefficient indicates (f) Use the equation for the line of regression to predict the length for a force of 57N (g) Compare the calculated value with the value that you have determined from the scatter graph. Force (N) 0 20 40 60 80 Length (mm) 8 100 215 310 400.
n list stion 1 estion 2 Question 3 Question 4 Question 5 Statcrunch A T 63°F Raining now Z W S alt x # K 3 Use the following cell phone airport data speeds (Mbps) from a particular network. Find P70 0.2 0.7 2.1 3.9 8.8 10 2 R % 0.2 0.9 2.4 с CV 3.9 9.1 P70 = x Mbps (Type an integer or a decimal. Do not round.) 5 24 G 0.3 B 0.9 2.4 4.3 9.6 Y H 70 0.3 0.9 2.6 4.5 11.6 N 00 8 M 29 0.4 0.9 2.8 4.9 12.5 hp K W-11 L alt 0.4 1.1 2.8 25 5.1 12.7 ctrl 0.4 1.3 2.9 5.2 13.7 prt sc 3 pause 0.5 1.5 2.9 7.1 14.3 delete backspace ^; enter home T shift num lock 3.3 7.3 14.5 7 home 0.5 1.7 ↑ A end 1 end Next 3:15 PM 9/24/2022 → 00 pg up 5 24 ins 0.60 1.7 30.1 3.6 8.4 21 pg dn 9 pg up 3 pg dn del
3.a. Suppose Var(X1) = 2.25, Var(X2) = 2.56, and Cov(X1, X2) = -0.25. Find the correlation p of X1 and X2. b. Suppose E(Y;) = 1
Please answer the whole question. (1) Let x be the age in years of a licensed automobile driver. Let y be the percentage of all fatal accidents (for a given age) due to speeding. For example, the first data pair indicates that 33% of all fatal accidents of 17-year-olds are due to speeding. x 17 27 37 47 57 67 77 y 33 28 22 12 10 7 5 Complete parts (a) through (e), given Σx = 329, Σy = 117, Σx2 = 18,263, Σy2 = 2675, Σxy = 4119, and r ≈ −0.972. (a) Draw a scatter diagram displaying the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your…
Q1: The data points below are related to a chemi-thermo-mechanical pulp from mixed density hardwoods. They relate Y (specific surface area of the fibres in cm/g) to the % NaOH (sodium hydroxide) used as a pretreatment chemical and the treatment time (min) for different batches of pulp. The variables are present at three different levels. In this case, it is preferred (for reasons that we will discuss later in the course) to code the levels as shown in the last two columns of the table below, designated by Xı and X2. Y SODIUM ΤΙME Xi X2 HYDROXIDE 5.95 3 30 -1 5.60 3 60 -1 5.44 3 90 -1 1 6.22 9. 30 -1 5.85 9 60 5.61 9. 90 1 8.36 15 30 1 -1 7.30 15 60 1 6.43 15 90 1 1 a. Using the variables Y, X1 and X2 (not actual time and sodium hydroxide! You will see why later!), fit the following multiple linear regression model to the data: (Model A) Y = (b0) + (b1) X1 + (b2) X2; subsequently, estimate the parameters and examine the residual plot (residuals vs Y hat). What does this residual plot…
For the data shown to the right, determine the linear correlation coefficient using two different formulas shown below. Complete parts (a) and (b) below and compare your answers 2455 1 2 a. Use the definition r= Find the sum required to calculate r using the definition. E(x -x) (v, -ý) = Type an integer or a decimal. Do not round.) Using the definition, r= (Round to three decimal places as needed.) Σχν- (Σχ) (Σ ) / n b. Use the computing formula r= E- (Ex)²/n] Ev? - (E»)° /n] Find the sums required to calculate r using the computing formula.