A data set is given below.(a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y.(b) Given that x = 3.6667, sx =2.4221, y = 3.8667, sy = 1.8435, andr= -0.9525, determine the least-squares regression line.(c) Graph the least-squares regression line on the scatter diagram drawn in part (a).DO A.(a) Choose the correct graph below.Ay6-Xy00 2 3 5 6 65.8 5.7 5.0 2.8 1.7 2.2OGB.Ay6-Q(...)C.0-●QD.Ау0-X6

The data shows the values of x.

Answered: A data set is given below. (a) Draw a…

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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Mass-Transit Subsidies The following table gives the projected state subsidies (in millions of dollars) to a certain transit authority over a 5-year period (x = 1 corresponds to the first year). Year, x 3 4 Subsidy, y 21.25 25.5 24.25 26.25 33.75 (a) Find an equation of the least-squares line for these data. y = (b) Assuming that the trend continued, estimate the state subsidy to the MBTA (in millions of dollars) for the eighth year (x 8). (Round your answer to one decimal place.) %24 million
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 3.6667, s, = 2.2509, y = 4.2667, s, = 1.5397, and r= - 0.9156, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 1 1 4 4 6 6 y 5.1. 6.5 4.9 3.9 2.4 2.8 (a) Choose the correct graph below. O A. OB. OC. OD. Ay 7- AY 7- Ay 0- 0- There appears to be v relationship. (b)=ロx+ D (Round to three decimal places as needed.) (c) Choose the correct graph below. O A. OB. D. Ay 7- 0- 0- 0- 0+
A study of fuel economy for various automobiles plotted the fuel consumption vs. speed. A LSRL was fit to the data. Here is the residual plot from this least-squares fit. What does the pattern of the residuals tell you about the linear model? 3. 2
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 3.8333, sx = 2.0412, y = 3.8833, sy = 1.5651, and r= -0.9338, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). X y O A. 1 2 4 4 6 5.2 5.8 4.5 3.6 2.0 (a) Choose the correct graph below. Q 6 6 2.2 D There appears to be a linear, negative relationship. (b) y = x + ( (Round to three decimal places as needed.) B. 6- 0 Y ← O C. 6- 0 .. O D. Ay 67 0-
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 3.8333, s, =2.0412, y = 3.4167, s, = 1.6702, and r= - 0.9435, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 1 4 4 y 4.9 5.4 4.0 3.2 1.3 1.7 (a) Choose the correct graph below. Ay 6- 6- 0- 6. There appears to be a linear, negative relationship. (b) ŷ =x+ (O (Round to three decimal places as needed.) B.
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. y=nothingx+(nothing) (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place 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.) A. A weightless car will get nothing miles per gallon, on average. It is not appropriate to interpret the slope. B. For every pound added to the weight of the car, gas mileage in the city will decrease by nothing mile(s) per gallon, on…
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y (b) Given that x = 3.5000, s, =2.5884, y = 4.2167, s, = 2.0469, and r= -0.9607, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 1 6 6 6.1 6.6 5.4 2.9 2.0 2.3 y (a) Choose the correct graph below. OA. OB. OC. OD. 7+ As There appears to be V relationship
The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year Using technology, what is the slope of the least-squares regression line and what is its interpretation? period. The results are given in the table. The slope is 1.98, which means for each additional 35 inch in height, the child's weight will increase by 1.98 Weight (x) 8. 12 18 24 30 32 37 40 30 32 33 36 38 pounds. Helght (v) 22 23 26 35 The slope is 1.98, which means for each additional inch in height, the child's weight is predicted to increase by 1.98 pounds. The slope is 0.50, which means for each additional pound in weight, the child's height will increase by 0.5 inches. The slope is 0.50, which means for each additional pound in weight, the child's height is predicted to increase by 0.5 inches.
An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage. v. The une ory tor ine most recent m odel year. Complete parts (a) through (d) accompanying data represent the weights of various domestic cars and their miles per gallon in BEE Click here to view the weight and gas mileage data (a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable. y = 0.00702 * + (43.2) (Round the x coefficient to five decimal places as needed. Round the constant to one decimal place 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.answer trom 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 mile(s) per gallon, on average. A weightless car will get miles per gallon, on averag B. For every pound added to the weight of the car, gas…
(b)
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x= 3.3333, s= 2.5033, y = 4.0667, s, = 1.9449, and r= - 0.9585, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 3 4 5.8 6.3 5.1 3.4 1.8 2.0 重 (a) Choose the correct graph below. OA. O B. OD. 本y 7- Ay 本y 7- AY 7- 0- 0. 0- 0. 6. There appears to be relationship. (b) ŷ =[]x+ (D (Round to three decimal places as needed.) (c) Choose the correct graph below. O A. О В. OC. O D. Ay 7- Ay 7- 0- 0. 9. 6. O Time Remaining: D TCOA2334403 U 10-8-2014 MAIN TCOA2330401 (2) Q 出

Is It Getting Harder to Win a Hot Dog Eating Contest?Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest. The table below shows the winning number of hot dogs and buns eaten every year from 2002 to 2015, and the data are also available in HotDogs. The figure below shows the scatterplot with the regression line. Year Hot Dogs 2015 62 2014 61 2013 69 2012 68 2011 62 2010 54 2009 68 2008 59 2007 66 2006 54 2005 49 2004 54 2003 45 2002 50 Winning number of hot dogs in the hot dog eating contest Winning number of hot dogs and buns Click here for the dataset associated with this question. (a) Is the trend in the data mostly positive or negative? Positive Negative (b) Using the figure provided, is the residual larger in 2007 or 2008?Choose the answer from the menu in accordance to item (b) of the question statement 20072008 Is the residual positive or…

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