x+6 (x + 2)2 dx

Calculus Question

Caffeine is a stimulant found in coffee, tea, soft drinks and other drinks and foods. After consumption, caffeine is absorbed into the blood stream and carried throughout the body and to the brain. In moderate amounts (~300 mg per day) it causes increased attentiveness, it reduces feelings of fatigue, and it enables most people to think clearly and concentrate for longer periods. Caffeine also increases heart rate and rate of respiration. In large quantities (>600 mg per day) its effects are magnified. People sometimes feel irritable, distracted and tense.   People often use caffeine to increase mental alertness. Some people are more sensitive than others to the effects of caffeine. People who consume caffeine regularly may build up a tolerance to its effects. Further, since caffeine is mildly addictive, people who regularly consume caffeine may experience some withdrawal effects if they stop consumption.   The Study In this study, three people each consumed varying levels of…

Find the coefficients of the least-squares line of "best fit", y = ax + b, for the data, (1, 2), (3, 3), (4, 1), (4,3), (6,5).