Unit 3: Computer Printouts NAME: Desiree is interested to see if students who consume more caffeine tend to study more as well. She randomly selects 20 students at her school and records their caffeine intake (mg) and the number of hours spent studying weekly. A scatterplot of the data showed a linear relationship. This is computer output from a least-squares regression analysis on the data: Predictor Coef SE Coef Constant 2.544 0.134 18.955 0.000 Caffeine (mg) 0.164 0.057 2.862 0.005 S=1.532 R-Sq=60.2% R-Sq(adj)=58.6% Determine the least squares regression line, in context, that estimates the hours of study when given the caffeine intake. Round all values to the nearest thousandth. Explain the value of the coefficient of determination in context of this problem. Is the correlation positive or negative in this example? Explain how you know this. What is the exact value of the correlation coefficient, and what does this number mean? Determine the y-intercept of the LSRL, and explain what this means in context of the problem. Determine the slope of the LSRL, and explain what this means in context of the problem. Based on the LSRL, how much caffeine would we predict a person consumed, if she studied 5 hours this week