Question 5.Given the following mat ices:1.0 4.6 7.1X =1.0 2.2 3.2[-2.6]-0.7]The normal equation can be used to compute f r the best O parameters as follows:A = (X"x)xT1.Given also that (X"X)* is given by:-0.9-0.6 -0.2](X"x)0.6 -0.0 -0.10.2 -0.10.1Your task in this question is to use the normal equation given to you above tocompute the optimal 0 parameters for this data. If necessary, round off yourfinal 0 values to two decimal places. Also note that you should present your finalanswer e as a (3 x 1) matrix that is clearly visible as your final answer.

Answered: Image /qna-images/answer/38eb34cc-e78f-4ba0-8391-712ae67b85aa.jpg

Answered: Question 5. Given the following mat…

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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Given y(x)=Nex where x goes from 0 to 2.46. The value of "N" required for normalization of y(x) is: a. 0.0837 b. 0.0400 c. 0.0511 d. 0.121 e. 0.0654
Our regression on the Titanic data returned the following result: coef std err t P>|tl [0.025 0.975] Intercept 1.3139 0.077 17.032 0.000 1.162 1.465 C(sex) [T.male] -0.4835 0.032 -15.299 0.000 -0.546 -0.421 alone [T.True] 0.0225 0.032 0.706 0.480 -0.040 0.085 pclass -0.2017 0.023 -8.932 0.000 -0.246 -0.157 age -0.0056 0.001 -5.004 0.000 -0.008 -0.003 fare 0.0001 0.000 0.322 0.748 -0.001 0.001 From this regression results, which of the following independent variable(s) do not have a statistically significant relationship with the dependent variable? Please select all that apply. age pclass fare alone
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.…
Please show formulas thank tou and on TI-84 calculator A test of H0:ρ=0H0:ρ=0 versus Ha:ρ≠0Ha:ρ≠0 determines that there is evidence of a linear relationship between the variables x and y at the 10% level. Which of the following is a possible p-value for this test? The p-value could be any of 0.06, 0.11, 0.82, or 1.15. 0.06 0.11 1.15 0.82 In a sample of 390 people attending a concert, 60% stated that the venue was a good location for that type of concert. What p-value is calculated when testing Ho:p≤0.65Ho:p≤0.65 versus p>0.65p>0.65 ? 0.0194 0.0219 0.9808 0.6000 0.0192 A hypothesis test to test the claim about a population mean in which the alternative hypothesis is Ha:μ≠225Ha:μ≠225 is conducted. A random sample was collected with the results of ¯x=200x¯=200 and s=54.2s=54.2 for a sample of size 14. What are the critical values for this test if the significance level is 5%? ±2.145 ±1.726 ±2.160 ±1771 ±1.96
The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T P Constant 0.8678 0.4148 2.06 0.84 Weight 0.40376 0.02978 13.52 0.000 S = 0.517508 R-Sq = 94.6% (a) Write out the least-squares equation. = + x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)(c) What is the value of the correlation coefficient r? (Use 3 decimal places.) 4.
1) A historic data set on the relationship between car speed (X) and stopping distance (Y) is given in the R data cars. Use the R output given below to answer the following questions. Estimate Std. Error t value Pr(>|t|) (Intercept) -17.5791 6.7584 -2.601 0.0123 3.9324 0.4155 9.464 1.49e-12 Multiple R-squared: 0.6511 Analysis of Variance Table Df Sum Sq Mean Sq F value Pr (>F) 1 21186 1.490e-12 Residuals 48 11354 a) What is the sample size in this study? b) Give the estimate of the standard deviation of the intrinsic error. c) Give the values of the t-test statistics for testing Ho : Bo = 0 vs. Ha : Bo + 0 and H, : B1 = 0 vs. Ha : B1 # 0. What are the corresponding p-values? d) Fill in the missing entries in the ANOVA table. e) What proportion of the total variability of the stopping distance is explained by the regression model?
Consider the data on climate change below: Variable Intercept CO2 Coefficient SE(Coeff) 0.1584 0.0004 T-ratio -20.1 22.1 P-value |-3.17933 <0.0001 <0.0001 0.00992 s=0.0885 with 58-2=56 degree of freedom. R squared = 89.7%. The response variable is temperature. %3D Then CO2 level for this data is 352.6ppm. a) Find a 90% confidence interval for the mean global temperature anomaly if the CO2 level reaches 450ppm. b) Fina a 90% prediction interval for the mean global temperature anomaly if the CO2 level reaches 450ppm. c) The goal of the Paris climate agreement is to a temperature anomaly of about 1.3degC in our data. If CO2 level do reach 450ppm, would this be a plausible value?
10. 18.30 Temperatures are measured at various points on a heated plate (Table P18.30). Estimate the temperature at (a) x = 4, y = 3.2, and (b) x = 4.3, y = 2.7. TABLE P18.30 Temperature (°C) at various points on a square heated plate. x = 0 x = 2 y = 0 y 2 y = 4 y=6 y 8 100.00 85.00 70.00 55.00 40.00 90.00 64.49 48.90 38.78 35.00 x = 6 70.00 48.15 35.03 30.39 27.07 30.00 25.00 x = 4 80.00 53.50 38.43 x = 8 60.00 50.00 40.00 30.00 20.00
Which of the following is TRUE about W? ANOVA Regression W Total df SS 1 8 9 2335 MS 140.1 F p-value 0.0186 The smaller the value of SS for W, the smaller the coefficient of determination. It is calculated based on the distance between the observed data point and the predicted value.
The length of a stalactite (in mm) has been measured at the beginning of every fourth year since the year 2000. The data through 2016 is shown below, where t is in years after the beginning of the year 2000. t Length (mm) 0 88 с Use the data to construct a scatter plot, then complete the following. 1) Which of the following best describes the pattern? O A. Linear (y = mx + b) O B. Logistic y= (y= OC. Exponential (y = a.b*) ₂-bx 4 93 1 + ae 8 99 2) Using your calculator and the best of the four methods above, find a model, L(t), that estimates the length of the stalactite t years after 2000. ROUND TO TWO DECIMAL PLACES. L(t) = 3) Use your rounded answer from part 2 to complete the following. ROUND TO TWO DECIMAL PLACES. Acording to the model, at the beginning of the year 2007, the stalactite was approximately mm long, and it was growing at a rate of approximately 12 103 mm per year. 16 108
The following data refers to yield of tomatoes (kg/plot) for four different levels of salinity. Salinity level here refers to electrical conductivity (EC), where the chosen levels were EC = 1.6, 3.8, 6.0, and 10.2 nmhos/cm. (Use i = 1, 2, 3, and 4 respectively.) 1.6: 59.4 53.4 56.3 63.2 58.4 3.8: 55.9 59.7 52.7 54.2 6.0: 51.7 48.2 53.9 49.0 10.2: 44.3 48.3 40.7 47.2 46.7 W23 = W 24 = W34 = USE SALT Apply the modified Tukey's method to identify significant differences among us. (Round your answers to two decimal places.) W12 = W13 = W14= Which pairs are significantly different? (Select all that apply.) Othe group and the 3.8 group the 1.6 group and the 6.0 group the 1.6 group and the 10.2 group the 3.8 group and the 6.0 group the 3.8 group and the 10.2 group O the 6.0 group and the 10.2 group There are no significant differences.
Quèstion 1 For the data given in following table, Determine P(X> -2). - 2 1 1 3 1 f(x): 6. 6. 9. 8. o search DELL 19

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