Iاس ال [74*3. The all values of a and B, so that the matrix A(a) lal> 3 and B = 4(c) [a]>0 and B<0*ada9:06 ص 2 A Ara 332 B 2(b) lal>0 and B = 4(d) None of the above4. In fitting a straight line, the formula to find the sum of the squares of the residuals is(a) E= E(y-b-ax)²(b) E= E(y-b+ax)²(c) E= (y-a+bx)²(d) None of the aboved4 is positive definite, are

4. Hint: Here we need to just write the sum of the squares of the residuals.

Answered: 4. In fitting a straight line, the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. Given the two lines of regression as 3X 4Y +8 0 and 4X 3Y 1, find the | | means of X and Y.
A particular professor has noticed that the number of people, P, who complain about his attitude is dependent on the number of cups of coffee, n, he drinks. From eight days of tracking he compiled the following data: People (P) 10 10 9 7 8 5 4 4 Cups of coffee (n) 1 1 2 3 3 4 5 5 Unless otherwise stated, you can round values to two decimal places.a) Using regression to find a linear equation for P(n)P(n) = b) Interpret the meaning of the slope of your formula in the context of the problemc) Interpret the meaning of the P intercept in the context of the problemd) Use your model to predict the number of people that will complain about his attitude if he drinks 8 cups of coffee.(Round to 2 decimals) e) Is the answer to part d reasonable? Why or why not?f) How many cups of coffee should he drink so that no one will complain about his attitude? It is ok to round to one decimal place.
You are conducting a test of independence for the claim that there is an association between the row variable and the column variable. |XYZ A 10 46 20 B 25 45 | 13 What is the chi-square test-statistic for this data? Report all answers accurate to three decimal places.
(a) Use an appropriate linearization to approximate 46 (b) Use the same linearization from part (a) to approximate N50 (c) Which of the above do you think is a better approximation? Explain your reasoning.
14) The equation of the least squares regression line between the dose of medication in mg (x) and the patients' systolic blood pressure (y) is... ŷ = -10x + 170 a) Use the regression line to estimate the systolic blood pressure for a patient taking 4 mg of medication. b) If we want to have a systolic blood pressure of 110, use the regression line to estimate the appropriate dose.
Use the following linear regression equation to answer the questions. x1 = 2.0 + 3.6x2 – 7.8x3 + 2.1x4 a) Suppose x3 and x4 were held at fixed but arbitrary values and x2 increased by 1 unit. What would be the corresponding change in x1?b) Suppose x2 increased by 2 units. What would be the expected change in x1?c) Suppose x2 decreased by 4 units. What would be the expected change in x1?
Suppose the analyst constructs the simple linear regression model In(y) = a + Bx+e. She estimates it to be In() = -1- 1.3x. What is the residual in Excel output for the pair of observations x= 1.5 and y = 27 O a. 6. O b. 1.98 O c. -2. O d. 403.43 e. 4.29
suppose that the regression line is ỹ=2(x-4), then the predicted value of y when x = 3 is O -2 none O -4 O -6 O 2 O -1
Given are five observations for two variables, and y. a. Choose the correct scatter diagram for these data: A. C. D 60 50 40 30- 20 -10- 60 50 40 -30 20 10- 10 10 20 20 30 30 40 40 50 50 60 x 60 x B. D. 60 50 40 30 20 10- 60 50 40 30- 20 10- 10 10 20 20 30 30 40 40 50 50 60 x 60 x 5 15 8 23 19 Xi Yi 55 40 50 15 25 b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a negative linear relationship between x and y. and y by drawing a straight line through the data. c. Try to approximate the relationship between Many different straight lines can be drawn ✔ to provide a linear approximation of the relationship between x and y.

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4. In fitting a straight line, the formula to find the sum of the squares of the residuals is (a) E = E(y-b-ax)² (b) E = E(y-b+ax)² (c) E = [(y-a+bx)² (d) None of the above O a O b O C Od