A graduate student did a material coupon test for a new material and obtained the stress-strain data to develop a material model. However,due to measurement noise, the data reported in the table below is not clean.i10.0051130.0119930.01524540.0231950.02535560.033830.03541980.0448890.045530100.05536Thus the supervisor asks the graduate student to perform a regression analysis assuming the following model form: o = Ee"Note: Please keep at least 2 significant digits/figures after the decimal point for E and B (e.g., input 0.33 for 1/3, 1.13 for 1.127551).E =B =Note: Please keep at least 4 significant digits/figures after the decimal point for R (e.g., input 0.3333 for 1/3, 1.1276 for 1.127551).R-squared value R2=R? = 1-

For simple notations: using εi= x , σi=y , E=a and β=b

Answered: Thus the supervisor asks the graduate…

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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Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 85 mm Hg. Use a significance level of 0.05 Right Arm 101 100 94 75 Left Arm 174 167 146 144 Click the icon to view the critical values of the Pearson correlation coefficient r The regression equation is (Round to one decimal place as needed.) 76 144 CRITS
In a regression analysis involving 30 observations, the following estimated regression equation was obtained. ŷ = 18.6 + 3.7x, - 2.2x2 + 7.9x3 + 2.6x4 (a) Interpret b, in this estimated regression equation. = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x3, and x, are held constant. = -2.2 is an estimate of the change in y corresponding to a 1 unit change in x, when x2, x3, and x are held constant. O b1 = 7.9 is an estimate of the change in y corresponding to a1 unit change in x, when x,, x2, and x, are held constant. O b, O b, = 3.7 is an estimate of the change in y corresponding to a 1 unit change in x, = 2.6 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x3 are held constant. when and x4 are held constant. Interpret b, in this estimated regression equation. O b2 = 2.6 is an estimate of the change in y corresponding to a 1 unit change in x, when x,, x2, and x, are held constant. = 7.9 is an estimate…
A regression was run to determine if there is a relationship between hours of study per week (xx) and the final exam scores (yy).The results of the regression were: y=ax+b a=6.22 b=21.6 r2=0.477481 r=0.691 Use this to predict the final exam score of a student who studies 8 hours per week, and please round your answer to a whole number.
Consider the following estimated regression model relating annual salary to years of education and work experience. Estimated Salary = 11,433.70 + 3312.68(Education) + 819.54 (Experience ) Suppose an employee with 7 years of education has been with the company for 5 years (note that education years are the number of years after 8th grade). According to this model, what is his estimated annual salary? 囲 Tables E Keypad Answer Keyboard Shortcuts
A researcher conducted a number of descriptive statistics for two variables X and Y. They were as follows: SP = 15; SSx = 3; My = 7; Mx = 3 What is b equal to (Please include the sign: e.g., -20)? What is a equal to (please include the sign: e.g., +4.0)? Using b and a construct a regression equation, and then using the regression equation, calculate the value of predicted Y when X = 2?
Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 90 mm Hg. Use a significance level of 0.05. Right Arm 101 100 92 75 75 O Left Arm 174 167 181 149 147 Click the icon to view the critical values of the Pearson correlation coefficient r The regression equation is y = + x. (Round to one decimal place as needed.) Given that the systolic blood pressure in the right arm is 90 mm Hg, the best predicted systolic blood pressure in the left arm is mm Hg. (Round to one decimal place as needed.)
Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 80 mm Hg. Use a significance level of 0.05. Right Arm 100 99 93 77 77 Q Left Arm 174 168 148 148 146 Click the icon to view the critical values of the Pearson correlation coefficient r The regression equation is ŷ=+x. (Round to one decimal place as needed.) mm Hg. Given that the systolic blood pressure in the right arm is 80 mm Hg, the best predicted systolic blood pressure in the left arm is (Round to one decimal place as needed.) Data table Critical Values of the Pearson Correlation Coefficient r α = 0.05 α = 0.01 0.950 0.990 0.959 0.878 0.811 0.917 0.754 0.875 0.707 0.834 0.666 0.798 0.632 0.765 0.602 0.735 0.576 0.708 0.553 0.684 0.532 0.661 0.514 0.641 0.497 0.623 0.482…
The following estimated regression equation is based on 10 observations was presented. ŷ = 29.1270 + 0.590601 + 0.4980x2 Here SST = 6,898.250, SSR = 6,009.500, S, = 0.0712, and S, = 0.0566. a. Compute MSR and MSE (to 3 decimals). MSR MSE b. Compute F and perform the appropriate F test (to 2 decimals). Use a = 0.05. Use the F table. F= The p-value is Select your answer - At a = 0.05, the overall model is -Select your answer - c. Perform a t test for the significance of 61 (to 2 decimals). Use a = 0.05. Use the t table. The p-value is Select your answer - At a = 0.05, there is - Select your answer- v relationship between y and a1. d. Perform a t test for the significance of 82 (to 2 decimals). Use a = 0.05. Use the t table. The p-value is Select your answer - At a = 0.05, there is - Select your answer - v relationship between y and 2.
An automobile rental company wants to predict the yearly maintenance expense (Y) for an automobile using the number of miles driven during the year () and the age of the car (, in years) at the beginning of the year. The company has gathered the data on 10 automobiles and run a regression analysis with the results shown below:. Summary measures Multiple R 0.9689 R-Square 0.9387 Adj R-Square 0.9212 StErr of Estimate 72.218 Regression coefficients Coefficient Std Err t-value p-value Constant 33.796 48.181 0.7014 0.5057 Miles Driven 0.0549 0.0191 2.8666 0.0241 Age of car 21.467 20.573 1.0434 0.3314 Use the information above to estimate the annual maintenance expense for a 10 years old car with 60,000 miles.
Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. Find the regression equation, letting the right arm blood pressure be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 90 mm Hg. Use a significance level of 0.05. Right Arm 101 100 92 77 77 Left Arm 174 169 145 146 146
Use B = -15.812961, and ₁ = 0.096300 to determine the equation of the estimated regression line. (Round your numerical answers to four decimal places.) ŷ =

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Thus the supervisor asks the graduate student to perform a regression analysis assuming the following model form: o = Ee Note: Please keep at least 2 significant digits/figures after the decimal point for E and B (e.g., input 0.33 for 1/3, 1.13 for 1.127551). E = B =