Write your complete solution and box yourThe compressive strength of concrete is being stud-ied, and four different mixing techniques are being investi-gated. The following data have been collected.(a) Test the hypothesis that mixing techniques affect the strengthof the concrete. Use a = 0.05.(b) Find the P-value for the F-statistic computed in part (a).(c) Analyze the residuals from this experiment.MixingTechniqueCompressive Strength (psi)13129300028652890232003300297531503280029002985305042600270026002765

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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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In an experiment to determine the relationship between force on a wire and resulting extension, the following data was obtained: Force (N) 10 20 30 40 50 60 70 Extension (mm) 0.22 0.40 0.61 0.85 1.20 1.45 1.7 Determine the most appropriate type of regression line for this data, explaining how you arrive at you answer. Determine of the coefficient of correlation for this data. Comment on the considered accuracy values using this method.
If the coefficient B₁ has a nonzero value, then it is helpful in predicting the value of the response variable. If ß₁ = 0, it is not helpful in predicting the value of the response variable and can be eliminated from the regression equation. To test the claim that B₁ = 0 use the test statistic t= (b₁-0)/sp. Critical values or P-values can be found using the t distribution with n - (k+ 1) degrees of freedom, where k is the number of predictor (x) variables and n is the number of observations in the sample. The standard error sp, is often provided by software. For example, see the accompanying technology display, which shows that sp, = 0.070227804 (found in the column with the heading of "Std. Err." and the row corresponding to the first predictor variable of height). Use the technology display to test the claim that B₁ = 0. Also test the claim that B₂ = 0. What do the results imply about the regression equation? Click the icon to view the technology output. Test the claim that B₁ = 0.…
An article described an experiment carried out to assess the impact of the variable x₁ = force (gm), x₂ = power (mW), x3 = temperature (°C), and time (msec) on y ball bond shear strength (gm). X4 = = The estimated regression equation is y = -37.48 +0.2117x₁ +0.4983x2 +0.1297x3 +0.2583x4 Interpret b3 and b4. ● What is the expected value of strength (y) from a force of 35 gm, power of 75 mW, temperature of 200 °C, and time of 20 msec ?
Based on the regression equation, what would be the predicted weight of a student who is 64 inches tall?
Test the hypothesis: H0: β2 = 1 against H1: β2 > 1. Which test do you use? And why? What are the underlying assumptions of the test(s) you use?
The commercial division of a real estate firm is conducting a regression analysis of the relationship between I, annual gross rents (in thousands of dollars), and y, selling price (in thousands of dollars) for apartment buildings. Data were collected on several properties recently sold and the following computer output was obtained. ANOVA MS Significance F Regression 1 41587.6 Residual Total 51984.7 Coefficients Standard Error t Stat P-value Intercept 20.000 3.2213 6.21 Apnual Gros 7.240 1.3621 5.29 Rents a. How many apartment buildings were in the sample? b. Write the éstimated regression equation (to 2 decimals if necessary). c. Use the t statistic to test the significance of the relationship at a 0.05 level of significance. What is the p-value? Use Table 2 of Appendix D. P-value is-Sclect your answer - What is your condusion? - Select your answer - d. Use the F statistic to test the significance of the relalionship at a 0.06 level uf significanct. Compute the F test slatistic (to 2…
(f)Based on your output (results), what is the correlation between weight and height? (g)Is there a statistically significant linear relationship between weight and height? Report both the t-test and F-test results for this(include the test statistics, df, p-value, and conclusion).
Please help me with this question.
The statsmodels ols() method is used on an exam scores dataset to fit a multiple regression model using Exam4 as the response variable. Exam1, Exam2, and Exam3 are used as predictor variables. The general form of this model is: If the level of significance, alpha, is 0.10, based on the output shown, is Exam1 statistically significant in the multiple regression model shown above? Select one. A text version of this output is available. OLS Regressin Results Dep. Variable: Model: Method: R-squar ed: Adj. R-squared: F-statistic: Prob (F-statistic): Log-Likelihood: AIC: 0.178 0.125 3.329 0.0276 -169.85 347.7 355.4 Exam4 OLS Date: Time: No. Observations: Least Squares Sun, 18 Aug 2019 10:59:12 Df Residuals: of Nodel: Covarianco Тура: 50 46 3 nonr obust BIC: Coef std err P>|t| [0.025 0.975) t Intercept Examl Exam2 Exam3 46.2612 0.1742 0.1462 0.0575 10.969 0.120 0.078 0.053 4.217 1.453 1.873 1.085 0.000 0.153 0.067 0.284 24.181 -0.067 -0.011 -0.049 68.341 0.416 0.303 0.164 Onnibus: 0.886 0.642…
The data in personalities is bivariate normally distributed Carry out a formal t-test for the association between extroversion and neuroticism in personalities H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the value of the t-statistic corresponding to this test? Carry out a formal t-test for the association between extroversion and neuroticism in personalities. H0: The population correlation coefficient is 0. HA: The population correlation coefficient is not 0. What is the critical value of the t-statistic required to reject the null hypothesis at a confidence level of 0.05
The prices of Rawlston, Inc. stock (y) over a period of 12 days, the number of shares (in 100s) of the company's stocks sold (x1), and the volume of exchange (in millions) on the New York Stock Exchange (x2) are shown below. 4. Perform an F test and determine whether independent variable and dependent variable are related. Fully interpret the meaning. Use α = .05 5. Conduct Residual Analysis and fully interpret the meaning. 6. If on a given day, the number of shares of the company that were sold was 94,500 and the volume of exchange on the New York Stock Exchange was 10 million, what would you expect the price of the stock to be? GRAPH IS SHOWN BELOW
A company organizes its sales into territories, each assigned to one sales representative. An analyst theorizes that the on-the-job experience level of the sales rep may be related to the amount of sales in each territory. The analyst decided to use the time the sales reps had been employed at the company to predict sales. After taking a random sample of sales territories, the analyst measured the last quarter's Sales in dollars and the Experience the sales rep had at the company in months. Here are the three tables from the regression results: Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Experience (months) 0.5966 0.3559 0.339 497.9058 40 df 1 38 39 Coefficients 6.6108 SS 5205388.04 5205388.04 9420585.51 Standard Error 4250.9742 180.2332 14625973.55 1.4427 How many territories are in the sample? 247910.15 t Stat MS 23.586 4.5822 P-value 2.71E-24 4.85E-05 F 20.9971 Lower 95% Upper 95% 3886.1113…

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