A student is taking courses at a local college as a prerequisite to get into a university program they are interested in.  Their school uses a 4.0 GPA scale, meaning the highest possible GPA is 4.0.  The average GPA for applicants accepted into their program of interest is 3.44. This student has already completed 3 semesters of their college program, with each semester consisting of 5 credits for a total weight of 15 credits.  Their GPA over these 15 credits is 3.36.  If they take a fourth semester with an additional 5 credits, what GPA must they obtain in their courses for the fourth semester (only the fourth semester) in order to bring their total GPA for all 20 credits across all four semesters up to 3.44?

A researcher hypothesized that cytokinins and auxins supplied by tumor-inducing insects lead to the production of tumors in plants. She performed experiments in which she hypodermically injected green pepper plants to determine if she could induce tumors. In one experiment she varied the concentration of cytokinin and the ratio of auxin concentration to cytokinin concentration. She used 3 concentrations of cytokinin and 6 ratios of auxin/cytokinin. The concentrations are indexed (1-3) with 3 indicating the highest concentration of cytokinin. The 6 ratios of auxin/cytokinin varied from 0.125 to 5.0 with values greater than 1 indicating that auxin was in greater concentration than cytokinin. The resulting data are in the date file "auxcyt.csv". The measured sizes of the tumors induced (relative to controls) are given in the 3rd column ('sumdiffd'). Analyze these data testing the appropriate hypotheses and interpret the results. (Note the unequal sample sizes.) auxcyt data…

Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couples in their midtwenties who were married or had been dating for at least two years. They zapped the man's hand with an electrode while the woman watched, and measured the activity in several parts of the woman's brain that would respond to her own pain. Brain activity was recorded as a fraction of the activity observed when the woman herself was zapped with the electrode. The women also completed a psychological test that measures empathy. Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Empathy Score     43 46 35 59 64 66 58 47 44 49 56 68 28 71 27 108 Brain Activity -0.129 0.389 0.019 0.378 0.016 0.419 0.109 0.515 0.149 0.746 0.245 0.57 0.219 0.716 0.364 0.762 Given that the equation for the regression line is y^=0.00709x−0.04187y^=0.00709x−0.04187, what is the residual (or deviation), yi−y^iyi−y^i, for subject 14?ANSWER:    Speak

How high must a vehicle's gas mileage be in order to fall in the top 15% of all vehicles?