1.The data represent the cost and graduation rate for a random sample of 50 colleges oruniversities in the United States. The data are from payscale.com. The variable "Cost" represents thefour-year cost including tuition, supplies, room and board of attending the school. The variable"Grad Rate" represents the graduation rate of the school.SchoolUniversity of Wyoming (In-State)Texas A & M University-Corpus Christi (In-State)University of Wisconsin-Eau Claire (In-State)University of Southern California (Private)Columbus College of Art and Design (Private)University of Central Oklahoma (In-State)Baker University (Private)Colorado School of Mines (In-State)University of St Francis (Private)Jacksonville University (Private)SUNY College at Potsdam (In-State)Bryn Mawr College (Private)Eastern Connecticut State University (Out-of-State)Greensboro College (Private)Carthage College (Private)Jackson State University (In-State)University of Nebraska at Omaha (In-State)LaGrange College (Private)University of Vermont (In-State)Pennsylvania State University-Main Campus (Out-of-State)Washburn University (In-State)Lake Erie College (Private)University of South Dakota (Out-of-State)Roger Williams University (Private)Oregon Institute of Technology (Out-of-State)California State University-Fullerton (Out-of-State)Hamline University (Private)The University of Texas of the Permian Basin (In-State)California State University-Sacramento (In-State)Eastern Oregon University (In-State)Cost (x) Grad Rate (y)756005584400357720068264000921790006176600381630005512500077168000631920004289400522520008314900054162000442060006387200388030045169000471220007419300086735003416800045938005520100064153000471450006219400072500957008590059344931 Western New Mexico University (In-State)Spring Hill College (Private)D'Youville College (Private)Southeastern University (Private)Eastern Nazarene College (Private)Regis University (Private)Arkansas State University-Main Campus (In-State)University of Central Arkansas (In-State)CUNY Bernard M Baruch College (In-State)University of Wisconsin-Oshkosh (Out-of-State)University of Missouri-Columbia (Out-of-State)Centenary College (Private)Florida Institute of Technology (Private)Eastern Washington University (In-State)Fisher College (Private)University of California-San Diego (Out-of-State)Christopher Newport University (In-State)The University of Texas of the Permian Basin (Out-of-State)The University of Texas at Austin (In-State)Marygrove College (Private)85200198000157000141000165000191000852008040011600010300015800018200022300088000194000223000109000916001040001240002053454146684542665368605847348775348124Questions: (Sections 4.1-4.2)a) Using the Cost and Grad-Rate paired data, find the linear correlation coefficient.b)Is there a linear correlation between the two variables? Show how you arrive at yourconclusion.c) Find the regression equation with response variable (y) expressed in terms of explanatoryvariable (x).d) Draw a scatter diagram and include the regression line. No free hand drawing will beaccepted. Use graph paper and a straight edge or technology.e) Interpret the slope and the y-intercept, if appropriate.f) What is the predicted graduation rate for a cost of $150,000? Show work.g)Find the residual for Fisher College. Is this above or below average? Show work.||

In this problem, we are given a dataset containing information about the cost and graduation rate of…

Answered: Questions: (Sections 4.1-4.2) a) Using…

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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The accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a car and its miles per gallon in the city is r= - 0.977. The least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable is -0.0061x +41.3297. Complete parts (a) and (b) below. V = Click the icon to view the data table. (a) What proportion of the variability in miles per gallon is explained by the relation between weight of the car and miles per gallon? The proportion of the variability in miles per gallon explained by the relation between weight of the car and miles per gallon is %. (Round to one decimal place as needed.) (b) Interpret the coefficient of determination. % of the variance in is by the linear model. (Round to one decimal place as needed.) Data Table Full data set Miles per Miles per Weight (pounds), x Weight (pounds), x Car Car Gallon, y Gallon, y 1…
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The equation of a regression line, unlike the correlation, depends on the units we use to measure the explanatory and response variables. Here is the data on percent body fat and preferred amount of salt. Preferred amountof salt x 0.2 0.3 0.4 0.5 0.6 0.8 1.1 Percent body fat y 21 30 23 30 39 24 31 In calculating the preferred amount of salt, the weight of the salt was in milligrams. (a) Find the equation of the regression line for predicting percent body fat from preferred amount of salt when weight is in milligrams. (Round your answers to one decimal place.) ŷ = + x (b) A mad scientist decides to measure weight in tenths of milligrams. The same data in these units are as follows. Preferred amountof salt x 2 3 4 5 6 8 11 Percent body fat y 21 30 23 30 39 24 31 Find the equation of the regression line for predicting percent body fat from preferred amount of salt when weight is in tenths of milligrams. (Round your intercept to one decimal place and your slope to two…
a) what is the regression equation? b) what is the predicted weight of the bear? c) is the result close to the actual weight of 528 pounds?
Develop a scatter diagram between Risk of Stroke and Age. The scatter diagram should include a proper title, a solid trend line, axis titles, a regression equation, and the Coefficient of Determination (R –square). (Note: the dependent variable is usually in the y-axis and independent variable in the x-axis.) Risk of Stroke (%) Age Pressure Smoker (Yes=1) 12 57 152 0 24 67 163 0 13 58 155 0 56 86 177 1 28 59 196 0 51 76 189 0 18 56 155 1 31 78 120 0 37 80 135 1 15 78 98 0 22 71 152 0 36 70 173 1 15 67 135 1 48 77 209 0 15 60 199 0 36 82 119 1 8 66 166 0 34 80 125 1 3 62 117 0 37 59 207 1
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