The data represent the cost, return on investment, and graduation rate for a random sample of fifty colleges or universities in the United States. The data is from payscale.com. The variable "Cost" represents the four-year cost including tuition, supplies, room and board of attending the school. The variable "Annual ROI" represents the return on investment for graduates of the school. It essentially represents how much you would earn on the investment of attending the school. The variable "Grad Rate" represents the graduation rate of the school. Complete parts (a) through (f).

Part 1

(a

between Cost and Grad Rate suggests a positive association between the two variables. Find the least-squares regression line treating Cost as the explanatory variable.

y=( )x+( )

(Round the slope to six decimal places. Round the constant to three decimal places.)

\fbetter print-out. School Annual ROI Cost Grad Rate Pennsylvania State University-Main Campus (Out-of-State) 5.7 193,000 86 Western New Mexico University (In-State) 1.6 85,200 20 University of Central Arkansas (In-State) 6.1 80,400 42 Centenary College (Private) 2.4 182,000 60 University of Southern California (Private) 5.3 264,000 92 California State University-Sacramento (In-State) 8.7 95,700 49 Florida Institute of Technology (Private) 6.1 223,000 58 Eastern Connecticut State University (Out-of-State) 4.2 149,000 54 Bryn Mawr College (Private) 2.2 252,000 83 Regis University (Private) 5.8 191,000 68 Roger Williams University (Private) 4 201,000 64 Jackson State University (In-State) 1.3 87,200 38 The University of Texas at Austin (In-State) 9.5 104,000 81 Arkansas State University-Main Campus (In-State) 5.8 85,200 45 Baker University (Private) 5 163,000 55 Colorado School of Mines (In-State) 11.1 126,000 77 University of St Francis (Private) 5 168,000 63 Eastern Nazarene College (Private) 5.7 165,000 46 D'Youville College (Private) 4.9 157,000 45 University of Central Oklahoma (In-State) 6.5 76,600 38 University of California-San Diego (Out-of-State) 6.4 223,000 87 Columbus College of Art and Design (Private) 1.2 179,000 61 Eastern Oregon University (In-State) 5.3 85,900 31 University of Missouri-Columbia (Out-of-State) 5.6 158,000 68 Jacksonville University (Private) 4.3 192,000 42 University of Wisconsin-Eau Claire (In-State) 9 77,200 68 Southeastern University (Private) 0.6 141,000 41 SUNY College at Potsdam (In-State) 2.3 89,400 52 Carthage College (Private) 2.8 206,000 63 Eastern Washington University (In-State) 6.7 88,000 47