Given the following parameter estimation output,StandardError11.62InterceptNumber ofpagesCoefficients35.3t Stat P-value3.040.0040.03430.021.72The value of residual at y = 48 and x = 325 is =places)0.054(Answer in 2 decimal

Let x denote the number of pages. It is given that The regression equation of y on x is y = 35.3 +…

Answered: The value of residual at y = 48 and x =…

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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3. Let X1, X2, ..., Xn be a random sample from the population N(µz,0²) and Y1, Y2,...,Ym a random sample from the population N(µy, o2), where both means (z and Hy) are assumed known. Note that the two distributions have a common variance of o². (a) If the X's and Y's are independent, show that the MLE for the common variance is: E (Xi - H2)² +E(Y; - Hy)? n+ m (b) Is the MLE found above unbiased for o2?
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Given the data as shown in the table below X Y 56 0.86 44 0.93 68 0.85 76 0.87 94 0.73 a) Using �^=-0.0034�^+1.0798 as the equation of the "Best-Fit" line. Calculate the residuals, �-�^, of this data:�1=56, �1-�^1 = −0.0292Incorrect . Round your answer to 4 decimal places.�2=44, �2-�^2 = 0.0000Incorrect . Round your answer to 4 decimal places.�3=68, �3-�^3 = 0.0016Incorrect . Round your answer to 4 decimal places.�4=76, �4-�^4 = 0.0488Incorrect . Round your answer to 4 decimal places.�5=94, �5-�^5 = −0.0300Incorrect . Round your answer to 4 decimal places.b) Using the formula��=�12+�22+⋯+��2�-2calculate the standard deviation, ��, of all residuals.��=0.0371Correct . Round your answer to 4 decimal places. Question HelpQuestion 4: Message Message instructor Submit QuestionQuestion 4
The line of best fit through a set of data isy=46.539+4.023xy=46.539+4.023xAccording to this equation, what is the predicted value of the dependent variable when the independent variable has value 40?y = Round to 1 decimal place.
Tom has been gathering data concerning the cost of a spa treatment, y', during the before Valentine's Day. The only independent variable that he has considered is the number of minutes, "x," in the treatment. Suppose Tom collects data on the relationship between the number of minutes in a treatment and the resulting cost of we the treatment. Tom finds that the correlation between cost and number of minutes is strong and positive. Therefore, he has performed a linear regression analysis on his data. His results are that the constant "a" is 35, and the coefficient "b1" for the independent variable is 1.3. Which of the following is the correct linear regression equation that would allow Tom to predict the cost of a spa treatment given the number of minutes? Oy = 78x + 35 Oy' = 1.3x + 35 %3D Oy = 78x - 1.3 %3D OY = -1.3x - 35
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The regression analysis shows that r^2 = 0.4688. What would the correlation be? A. r = √0.4688 B. r = −√0.4688 C. Both A and B. D. None of the above.
A study of king penguins looked for a relationship between how deep the penguins dive in meters xx to seek food and how long they stay underwater in minutes yy. Based on sample data, the regression line is found to be y^=2.69+0.0116x Use the regression line to estimate how long a typical dive of 200 meters would last. Round your answer to two decimal points.
A frequent flyer was interested in the relationship between dollars spent on flying and the distance flown. She sampled 20 frequent flyers of a certain airline. She collected the number of miles flown in the previous year and the total amount of money the flyer spent. A regression line of distance flown on money spent was fit to the data: \hat y = 24000 + 10xy^=24000+10x. A person who spent $1000 is predicted to have flown:
The table below represents the values of discharge and stage. Extend the rating curve for these data, using the following equations [q= k(g-a), k= 10^, a=0]. Try to estimate the values of k and b by least square method. Determine the value of discharge at stage 7m. Stage (m) 5. 4 2 Discharge (m'/s) 50 20 10
A study of king penguins looked for a relationship between how deep the penguins dive in meters (x) and how long they stay underwater in minutes (y). The study reported that the regression equation was ˆy=−0.044x+4.937y^=-0.044x+4.937 and the coefficient of determination was 0.81What is the correlation coefficient for this data set (round your answer to 2 decimal places)?
What is the residual for this (size = 240) observation? Round to 2 decimals

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The value of residual at y = 48 and x = 325 is = places)