Data on advertising expenditures and revenue (in thousands of dollars) for the Four Seasons Restaurant follovw.Advertising ExpendituresRevenue202.324540105314542055a. Let a equal advertising expenditures and y equal revenue. Use the method of least squares to develop a straight line approximation of the relationship between the two variables (to 2 decimals).=b. Test whether revenue and advertising expenditures are related at a 0.05 level of significance.Compute the following (to 2 decimals).SSESSTSSRMSRMSECompute the F test statistic (to 2 decimals).What is the p-value? Use Table 4 from Appendix B.|- Select your answer -What is your conclusion?|- Select your answer -c. Prepare a residual plot of y-y versus y. Use the result from part (a) to obtain the values of g. Choose the correct residual plot below.

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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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A set of data is best fit by y = a, Using linear least squares, determine the coefficient: Select one: a. None b. Ex, /n c. E,y, In d. E,x y,/2,x Previous page Next page
The residual plot shows the residuals for the least- squares line relating price of a used car (y) to the number of miles driven (x). Residuals Residual Plot for Miles Driven vs Price 10,000 5,000 -5,000 50,000 100,000 150,000 200,000 Number of Miles Driven Based on the residual plot, is the linear model appropriate for the relationship between miles and price? No, because there are clear outliers in the residual plot. No, because there is a clear curved pattern in the residual plot. No, because there does not appear to be a pattern to the residuals. Yes, because there is a clear curved pattern in the residual plot. Yes, because there does not appear to be a pattern to the residuals.
|Using the method of least squares, a team of five CBE 1002 students fit a line y = 3x + 2 to a set of measured data that include the points (x = 1, y = 3), (x = 2, y = 8) and (x = 3, y = 14). Calculate the residuals d¡ (d; = the vertical distance from the i-th point) at these three points.
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A student is preparing to take a stand allies exam she was told that she needs to get plenty of sleep the night before the exam she is interested in the relationship between the number of hours of sleep a student gets her for an exam and the score earned on the exam. She collects information from 10 other students who have already taken the exam as shown on the table. she fits at least squares regression line to the data and determines the equation of the line is why equals 26-0.18 X where why is the score earn on the exam and ask is the number of hours of sleep the night before the exam. The residual is given. based on the residual plot is the linear model appropriate? no, there is no clear pattern in the residual plot. yes, there is no clear pattern in the residual plot. no, the student who got the most you've had a negative residual yes, there are more negative residuals (6) then positive residuals (4)
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A motorist found that the efficiency of her engine could be increased by adding lubricating oil to fuel. She experimented with different amounts of lubricating oil and the data are Amount of lubricating oil (ml) Efficiency (%) 0 25 50 75 100 | 60 70 75 81 84 (a) Obtain the least squares fit of a straight line to the amount of lubricating oil. (b) Test whether or not the slope B, = 0. Take a = 0.05 as your level of significance. (c) Construct a 90% confidence interval on the mean response at xo = 10 ml.
Data for motor vehicle production in a country for the years 1997 to 2004 are given in the table. Year 1997 1998 1999 2000 2001 2002 2003 2004 Thousands 1,578 1,671 1,805 2,009 2,391 3,219 4,415 5,092 (A) Find the least squares line for the data, using x = 0 for 1990. y = (Use integers or decimals for any numbers in the expression. Do not round until the final answer. Then round to the nearest tenth as needed.)

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