An article presented data on compressive strength x and intrinsic permeability y of various concrete mixes and cures. Summaryquantities are n = 14, E» = 572, E } = 23530, E* = 43, E = 157.42, and E x,y; = 1697.80. Assume that thetwo variables are related according to the simple linear regression model.Round your answers to 3 decimal places.(a) Test for significance of regression using a = 0.05.(b) Estimate o.(c) In this model, what is the standard error of the intercept?What is the standard error of the slope?

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Answered: An article presented data on…

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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What is the regression equation and what is the value of y^y^ when x = 25? Group of answer choices 24.94 + 1.95x; 84.94 1.95 + 24.94x; 25 1.95 + 24.94x; 625.45 24.94 + 1.95x; 73.69 None of the above
Write Regression equation, identifying all parts. Show all work here. 45 observations were selected. SSxx=87.34 SSxy=193.02 Ex=297.5 Zy=385 xbar = Three decimal places ybar = Three decimal places b1 = Three decimal places bo = Three decimal places regression equation =
What do you mean by Generalized method of moments? illustrate regression model with exogenous variables Z?
The article "The Undrained Strength of Some Thawed Permafrost Soils"+ contained the accompanying data on the following. y = shear strength of sandy soil (kPa) x₁ = depth (m) x₂ = water content (%) The predicted values and residuals were computed using the estimated regression equation y = -156.50 - 16.52x₁ + 13.83x₂ + 0.100x3 -0.258x4 +0.496x5 ₁², x₁ = x₂², and x5 = X1X2• where x3 = y X1 14.7 8.8 31.4 48.0 36.5 26.9 25.6 36.9 25.8 x2 10.0 6.2 39.2 16.0 6.8 39.3 20.7 16.8 7.0 38.4 7.4 33.8 38.8 8.3 33.9 16.9 6.4 27.0 8.1 33.2 24.9 10.0 12.8 28.0 16.0 4.4 26.2 37.9 7.3 2.8 34.7 1.9 36.5 Predicted y 22.86 46.10 27.38 11.23 13.47 16.80 23.55 25.24 15.75 24.47 15.19 29.93 15.51 8.00 Residual -8.16 1.90 -1.78 -1.23 2.53 0.00 -2.85 13.56 1.15 2.53 0.81 -5.03 -8.21 4.80 (a) Use the given information to calculate SSResid, SSTO, and SSRegr. (Round your answers to four decimal places.) SSTO = SSResid = SSRegr = (b) Calculate R² for this regression model. (Round your answer to three decimal…
A researcher collects data between the age in years, (x), of a movie theater's popcorn popper and the cost of its monthly maintenance,(y).Find the regression equation. Round b to three decimal places.ˆyy^ = + CorrectxxFill in the table to find the residuals. Round table entries to three decimal places. xx yy ˆyy^ y−ˆyy-y^ 8 58 9 98 15 102 4 32 7 60 3 31 2 25 What is the correlation coefficient? Round to three decimal places. Graph the data and find the outlier. Give the ordered pair here:(, )If your ordered pair is actually the outlier, then the correlation coefficient would increase. Delete the ordered pair you chose and find the correlation coefficient again. Type the new correlation coefficient rounded to three decimal places here: Put the outlier back into your data and then find the test statistic, p-value, df, and critical value(s) for a test to find if there is a positive correlation with α=0.01α=0.01. Round to 3 decimal placestt…
Complete the missing information for this regression model. Note: N=26N=26. (Except for P-values, report all values accurate to 3 decimal places. For P-values, report accurate to 4 decimal places.) ˆYY^ = 26.759 + 0.818X10.818X1 −- 2.999X22.999X2 + X3X3 2.382 0.547 1.674 0.734 Standard Errors 11.234 1.495 t-ratios 0.0991 P-values
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Acrylamide is a chemical that is sometimes found in cooked starchy foods and which is thought to increase the risk of certain kinds of cancer. The paper "A Statistical Regression Model for the Estimation of Acrylamide Concentrations in French Fries for Excess Lifetime Cancer Risk Assessment"† describes a study to investigate the effect of x = frying time (in seconds) and y = acrylamide concentration (in micrograms per kg) in French fries. The data in the accompanying table are approximate values read from a graph that appeared in the paper. FryingTime AcrylamideConcentration 150 155 240 115 240 190 270 180 300 140 300 265 (a) Construct a scatterplot of these data. A scatterplot has 6 points.The horizontal axis is labeled "x" and ranges from 100 to 350.The vertical axis is labeled "y" and ranges from 50 to 350.The points are plotted from left to right in a horizontal direction starting from the lower left side of the diagram.Along the horizontal axis, there is 1 point at 150, 2 points…
Pre-study scores versus post-study scores for a class of 120 college freshman English students were considered. The residual plot for the least squares regression line showed no pattern. The least squares regression line was \hat{y} = 0.2 + 0.9xy^=0.2+0.9x with a correlation coefficient r = 0.76. What percent of the variation of post-study scores can be explained by the variation in pre-study scores? 57.8% 87.2% 52.0% 76.0% We cannot determine the answer using the information given.

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