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Questions: (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 your conclusion. c) Find the regression equation with response variable (y) expressed in terms of explanatory variable (x). d) Draw a scatter diagram and include the regression line. No free hand drawing will be accepted. 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.

Questions: (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 your conclusion. c) Find the regression equation with response variable (y) expressed in terms of explanatory variable (x). d) Draw a scatter diagram and include the regression line. No free hand drawing will be accepted. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 11PPS
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1. The data represent the cost and graduation rate for a random sample of 50 colleges or universities in the United States. The data are from payscale.com. The variable "Cost" represents the four-year cost including tuition, supplies, room and board of attending the school. The variable "Grad Rate" represents the graduation rate of the school. School University 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) 75600 55 84400 35 77200 68 264000 92 179000 61 76600 38 163000 55 125000 77 168000 63 192000 42 89400 52 252000 83 149000 54 162000 44 206000 63 87200 38 80300 45 169000 47 122000 74 193000 86 73500 34 168000 45 93800 55 201000 64 153000 47 145000 62 194000 72500 95700 85900 59 34 49 31
Transcribed Image Text:1. The data represent the cost and graduation rate for a random sample of 50 colleges or universities in the United States. The data are from payscale.com. The variable "Cost" represents the four-year cost including tuition, supplies, room and board of attending the school. The variable "Grad Rate" represents the graduation rate of the school. School University 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) 75600 55 84400 35 77200 68 264000 92 179000 61 76600 38 163000 55 125000 77 168000 63 192000 42 89400 52 252000 83 149000 54 162000 44 206000 63 87200 38 80300 45 169000 47 122000 74 193000 86 73500 34 168000 45 93800 55 201000 64 153000 47 145000 62 194000 72500 95700 85900 59 34 49 31
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) 85200 198000 157000 141000 165000 191000 85200 80400 116000 103000 158000 182000 223000 88000 194000 223000 109000 91600 104000 124000 20 53 45 41 46 68 45 42 66 53 68 60 58 47 34 87 75 34 81 24 Questions: (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 your conclusion. c) Find the regression equation with response variable (y) expressed in terms of explanatory variable (x). d) Draw a scatter diagram and include the regression line. No free hand drawing will be accepted. 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. ||
Transcribed Image Text: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) 85200 198000 157000 141000 165000 191000 85200 80400 116000 103000 158000 182000 223000 88000 194000 223000 109000 91600 104000 124000 20 53 45 41 46 68 45 42 66 53 68 60 58 47 34 87 75 34 81 24 Questions: (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 your conclusion. c) Find the regression equation with response variable (y) expressed in terms of explanatory variable (x). d) Draw a scatter diagram and include the regression line. No free hand drawing will be accepted. 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. ||
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