Anna set up a lemonade stand on her block over the summer. She recorded each day’s high temperature and the number of cups of lemonade she sold for 10 1010 days. After plotting her results, Anna noticed that the relationship between her two variables was fairly linear, so she used her data to calculate the following least squares regression equation for predicting lemonade sales, in cups, from the daily high temperature, in degrees Fahrenheit: y ^ = − 34 + 3 5 x y ^ =−34+ 5 3 xy, with, hat, on top, equals, minus, 34, plus, start fraction, 3, divided by, 5, end fraction, x What is the residual if a day had a high temperature of 95 9595 degrees and Anna sold 21 2121 cups of lemonade? cups

Like many students at university, you may be unhappy about the results you attain in exams. you may feel that even with all you are doing there must be something more -- or different-- you could be doing to get better grades. we have all at some time or other heard of that student who only studies a couple of hours for final exams and scores a's every time. we stand in awe of those who seem to breeze through without undue effort and seem to need very little in the way of studying to nail an exam. the reasons for success, in what i think are the vast majority of cases, are less esoteric than many students think: successful students consistently apply a series of productive strategies with view to attaining clearly identified learning and grade goals throughout the academic term.