Q.1) The table below gives the readings from a laboratory experiment.2Time (t)Reading (y) 7Fit: (i) a curve of the form y = ea(t-b), and(ii) a curve of the form y = a(1-bt) to the above data by method of least squares.(iii) determine which of the two (i) and (ii), is a best approximation.3175496719161

Answered: Image /qna-images/answer/c303d535-ee3c-4840-afdb-41f1c53f738f.jpg

Answered: Q.1) The table below gives the readings…

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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please answer the second picture, thank you!! the first one is the one you already answered earlier.
We want to write the least-squares equation ý a+ bx, using the given printout. Predictor Coef SE Coef Constant 316.27 28.31 11.24 0.002 Elevation -32.660 3.511 -8.79 0.003 S 11.0603 R-iq 95.1N Recall that a is the intercept and b is the slope of the line. Since the elevation is the explanatory variable, x, the coefficient of the x-term is the slope of the line. From the printout, this corresponds to the table value in the "Elevation" row, and "Coef" column. Therefore, The intercept is given by the value of the constant term. There is no variable, but the Minitab printout classifies this value as a "coefficient." (Note: This may or may not coincide with your previous experience with the terms "constant" and "coefficient," but it is mathematically correct for reasons that we will not explore in this tutorial.) The value in the "Constant" row and "Coef" column is 316.27, Therefore, a Substitute these values into the least-square equation. 9 -a+ bx
1:30 K An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts (a) through (d) below. (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. ŷ=x+ (Round the x coefficient to five decimal places as needed. Round the constant to two decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. (Use the answer from part a to find this answer.) O A. For every pound added to the weight of the car, gas mileage in the city will decrease by on average. It is not appropriate to interpret the y-intercept. B. A weightless car will get miles per gallon, on average. It is not appropriate to interpret the slope. mile(s) per gallon, O…
Complete parts (a) through (h) for the data below. 4 6. 8 y 11 14 18 23 26 (d) By hand, determine the least-squares regression line. y = 2.977 x+ ( - 0.651) (Round to three decimal places as needed.) (e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below. A. Ов. Ay 30- Ay 10- 30- X 0- 10 10 10 (f) Compute the sum of the squared residuals for the line found in part (b). (Round to three decimal places as needed.)
The average remaining lifetimes for women of various ages in a certain country are given in the following table.
Hello there, can you help me solve the problem with two subparts (b and c) Problem: (the image is attached) Subparts: b. Find the least-squares curve of the form above to fit the data (4, 1.57), (6, 2.05), (8, 2.5), (10, 2.7), (12, 3.1), (14, 3.6), (16, 3.8), and (18, 4.35), where x and y represent sales and costs in thousands. Produce a graph that shows the data pts and the graph of the cubic approximation. y = __x + (__)x2 + (__)x3 c. (the image is attached)
Complete Table 3 and find the values of A and B for the straight line that provides the best least-squares fit to the data Table 3 y xy 1 2 3 7 4 9 5 12 Ex = Ey = Σxy Ex² =
Simulate the solution of the given problem using Excel such that when the given five data points (x and y values) are changed, a new equation is formed. 1. By the method of least squares, fit a line y = a + bx to the points 0 2 y -1 -1 2 9 3 10 5 14
5) Using the method of Least Squares, determine the value of y when x = 3.0 in the equation y = Ae By using the given data: X 2.07 8.60 14.42 15.80 y 2 13 4
Hello there, can you help me solve the problem with two subparts (b and c)? Thank you Problem: (the image is attached) Subparts: b. Find the least-squares curve of the form above to fit the data (4, 1.57), (6, 2.05), (8, 2.5), (10, 2.7), (12, 3.1), (14, 3.6), (16, 3.8), and (18, 4.35), where x and y represent sales and costs in thousands. Produce a graph that shows the data pts and the graph of the cubic approximation. y = __x + (__)x2 + (__)x3 (round to six decimal places as needed.) c. (the image is attached) (round to four decimal places)
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