(a) Calculate the least square estimates of the slope and intercept. What is the estimate of a??Round your answers to 3 decimal places.P = 1(b) Find the estimate of the mean deflection if the stress level can be limited to 72%.Round your answer to 2 decimal places.(c) Estimate the change in the mean deflection associated with a 4% increment in stress level.Round your answer to 2 decimal places.(d) To decrease the mean deflection by 1.2 millimeters, how much increase in stress level must be generated?Round your answer to 2 decimal places.(e) Given that the stress level is 68%, find the fitted value of deflection and the corresponding residuals.Round your answers to 2 decimal places.Fitted value = iResiduals (enter in ascending order of value):i An article in Wood Science and Technology ("Creep in Chipboard, Part 3: Initial Assessment of the Influence of Moisture Content andLevel of Stressing on Rate of Creep Time to Fallure" Vol. 15, 1981, pp. 125-144) describes the results of a study of the deflection (mm)of particleboard from stress levels of relative humidity. Assume that the two variables are related according to the simple linearregression model. The data are shown below:Stress level (%) Deflection (mm)5416.4735418.6936114.3056115.1216813.5056811.6407511.1687512.5347511.224Minitab was used to fit a regression equation to the above data set. The results follow.PredictorCoef SE CoefT PConstant32.0492.885 11.11 0.000Stress level -0.27712 0.04361 -6.35 0.000S= 1.05743, R-Sq = 85.2%, R-Sq(adj) = 83.1%Analysis of VarianceF PSourceDFMSRegression1 45.154 45.154 40.38 0.000Residual Error7 7.8271.118Total8 52.981

NOTE: As per the guidelines, we are supposed to solve the first three sub parts only. Please repost…

Answered: (a) Calculate the least square…

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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Here are two sets of bivariate data with the same response variable. The first contains the variables x & y. The second contains the variables w & y | y w y 25.3 43.9 68.8 36.7 43.8 56.7 57 55 49.2 61.3 27.9 52 57.4 69.3 48 | 50.5 33.7 47.3 58.3 49.2 46.3 56 46.6 34.4 67.1 75.8 35.1 48.3 25.7 43.4 19 76.8 47.2 57.9 7.3 56.8 37.5 57.4 32.9 56.2 44.8 60.4 43.8 49 29.7 38.5 26.4 | 60.9 42.8 53.6 55.6 49.4 60.3 69.7 53.9 55 53.2 67.1 47.8 42.7 57.4 66.3 25 54.8 45.5 57.6 13.9 65 42 51.6 69.5 43.6 38.9 54.8 79.5 29
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Heip A regression of average weekly earnings (AWE, measured in dollars) on age (measured in years) using a random sample of college-educated full-time workers aged 25-65 yields the following: AWE = 647.9310 +8.9280 × Age, R2 = 0.021, SER=580.4. The coefficient shows the marginal effect of Age on AWE; that is, AWE is expected to increase by $ for each additional year of age. is the intercept of the regression line. It determines the overall level of the line. (Round your responses to four decimal places.) The standard error of the regression (SER) is 580.4. What are the units of measurement for the SER? O A. Dollars. O B. Dollars per year. C. Unit-free. O D. Dollars per week. The regression R is 0.021. What are the units of measurement for the R2? O A. Dollars per year. O B. Dollars. Click to select your answer(s). W 0正 e to search
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ea surface temperature26.726.726.626.626.626.626.526.526.326.326.126.1Growth0.850.850.850.850.790.790.860.860.890.890.920.92 Make a scatterplot. Which is the explanatory variable? The plot shows a negative linear pattern. Explanatory Variable:
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