Use least-square regression to fit a straight line to the given data below:xy312.3514.1613.0815.2917.7918.116.620.222.826.212151718

We have to find the best fitted curve for straight line.

Answered: Use least-square regression to fit a…

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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Data were gathered and displayed on the scatter plot. 15 y 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Which of the following is the best equation to model the data? ŷ = 11.5(0.81)* Oŷ = 8.1(0.115)* Oŷ= -0.115x+8.1 Oŷ=-0.81x+11.5
The following data is given: 3 4 6. 12 14 2 4 5 6. 7. 9. 11 Use linear least-squares regression to determine the coefficients m and b in the function y - mx + b that best fit the data. Use Eq. (6.5) to determine the overall error.
Find the coeedicient of X1 and X2 and constant coefficient
Compute the least-squares regression equation for the given data set. Use a TI-84 calculator. Round the slope and y-intercept to at least four decimal places. 5.8 4.1 6.5 4.6 6.6 5.8 5.2 2.0 4.9 1.0 4.1 1.2 1.9 2.9 x y Send data to Excel Regression line equation: y
answer this. not graded
Which of the following is not one of the uses of a scatter plot and regression line a. to estimate the average y at a specific value of x. b. All three are uses of the scatterplot and regression line c. to determine if a change in x causes a change in y d. to predict y at a specific value of x.
Draw a graph of the least-squares regression line on your scatterplot. (For hand-drawing, round the slope and y-intercept to one decimal place before drawing the line.) Be sure to show how you were able to plot the line starting with its equation. Model City Miles per Gallon Highway Miles per Gallon Acura RLX 20 29 BMW 530i 24 34 Buick LaCrosse eAssist 25 35 Chevrolet Malibu 29 36 Ford Hybrid FWD 43 41 Honda Civic 32 42 Infiniti Q50 Red Sport 20 26 Kia Forte 30 40 Lexus ES 350 22 33 Mercedes Benz AMG S 21 30 Mini Cooper Clubman 24 32 Nissan Maxima 20 30 Suburu Legacy AWD 25 34 Toyota Prius ECO 58 53
The following multiple regression printout can be used to predict a person's average annual salary given his or her years of employment and number of years of education beyond high school. Regression Analysis: Salary Versus YrsEm, Educ Coefficients Term Constant YrsEm Educ Coef 23,171 678 1,918 SE Coef 1,771 142 376 T-Value 13.08 4.77 5.10 P-Value 0.000 0.000 0.000 (a) Is the regression coefficient of education (Educ) statistically significant? (Use a = 0.05.) Given this output, the regression coefficient for education ---Select--- statistically significant. (b) Does the variable education belong in the model? Given this output, the variable education ---Select--- --Select--- belong in the model. (c) Given this output, which of the following is the correct interpretation for Education in this model? O An individual with 4 years of education beyond high school can expect an annual salary of $7,672. O The estimated change in the average value of annual salary of getting an additional…
The following data represent the commute time (in minutes) x and a score on a well-being survey y. The equation of the least-squares regression line is y = - 0.0423x + 69.1961 and the standard error of the estimate is 0.5262. Complete parts (a) through (e) below. 15 25 35 45 60 82 115 D 69.0 68.3 66.8 66.2 66.5 64.2 y 67.4 (a) Predict the mean well-being index composite score of all individuals whose commute time is 30 minutes. y = (Round to two decimal places as needed.) (b) Construct a 90% confidence interval for the mean well-being index composite score of all individuals whose commute time is 30 minutes. Lower Bound (Round to two decimal places as needed.) Upper Bound |(Round to two decimal places as needed.) (c) Predict the well-being index composite score of Jane, whose commute time is 30 minutes. y =(Round to two decimal places as needed.)
Bluereef real estate agent wants to form a relationship between the prices of houses, how many bedrooms, House size in sq ft and Lot Size in sq ft. The data pertaining to 100 houses were processed using MINITAB and the following is an extract of the output obtained: The regression equation is Price = B + ¢Bedroom + yHouse Size + ALot Size Predictor Сoef SE Coef т P Constant 37718 14177 2.66 ** Bedrooms 2306 6994 0.33 0.742 House Size 74.3 52.98 0.164 Lot Size -4.36 17.02 -0.26 0.798 S= 25023 R-Sq=56.0% R-Sq(adj)=54.6% Source DF MS F P Regression 3 76501718347 25500572782 Residual Error 96 60109046053 626135896 Total 99 • Is y significantly different from -0.5? Perform the F test at the 1% level, making sure to state the null and alternative hypotheses. Give an interpretation to the term “R-sq" and comment on its value.
Which of the multivariate regression parameters listed below would be best interpreted as: the proportion of variation in the dependent variable explain by all the independent variables in the model. a b1 X1 R2
In the graph shown below consider the horizontal line to represent the average y value for the data set and the slant line to represent the linear regression equation. use only the graph of the data to do the following:

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Use least-square regression to fit a straight line to the given data below: x y 3 12.3 5 14.1 6 13.0 8 15.2 9 17.7 9 18.1 16.6 20.2 22.8 26.2 12 15 17 18