Let f(x) = 7+ 2x². (a) Estimate the area under the graph of f, the x-axis, and the lines x = -1 and x = 2 using three rectangles and a right endpoints. = 31 R3 Improve your estimate by using six rectangles. 28.75

Please complete the following question. Make sure you are responding to all parts of the question.    The number of awards earned by students at one high school is recorded. Predictors of the number of awards earned include the type of program in which the student was enrolled (e.g., vocational, general or academic) and the score on their final exam in math. Variables Participant number (ID) Number of awards Program type (vocational - 1; general - 2; academic - 3 Math Score   id    num_awards    prog    math 45    1    3    41 108    1    1    41 15    1    3    44 67    1    3    42 153    1    3    40 51    1    1    42 164    1    3    46 133    1    3    40 2    1    3    33 53    1    3    46 1    1    3    40 128    0    2    38 16    1    3    44 106    1    3    37 89    1    3    40 134    1    1    39 19    1    1    43 145    0    3    38 11    1    2    45 117    0    3    39 109    1    1    42 12    1    3    45 37    1    3    40 69    0    3    40 43    1    2    43…

The following data was collected from a clinical trial testing a new drug aimed to lower blood pressure for individuals older than age 45. Half of the 20 participants received the new drug (Treatment = Yes) and the other half of the participants received a placebo pill (Treatment = No). Their age and gender was also recorded. Please use this data for Questions 17-19 and 20-24 and note, not all the information in the table will be used for either problem, you must decide what is relevant based on what the problem is asking. Subject ID Treatment Age Gender BP_Before BP_After D1 Yes 65 F 103.3 80.5 D2 Yes 59 F 93.6 85.9 D3 Yes 60 M 92 85.2 D4 Yes 54 F 93 87.8 D5 Yes 65 F 95.4 85.3 D6 Yes 57 M 109.6 94.2 D7 Yes 69 M 97.9 83.9 D8 Yes 62 M 96 85 D9 Yes 49 F 98.4 86.3 D10 Yes 45 M 98.4 90 C1 No 63 F 97.4 93.1 C2 No 56…

I need help with just part c. Someone on here already answered it for me but I'm really confused as there are steps missing and I'm not sure what to put in the calculator.  " The first quartile separates the lowest 25% of the observations from the higher 75% of the observations. The first quartile is denoted by Q1. The second quartile separates the lower 50% of the observations from the higher 50% of the observations. The second quartile is denoted by Q2.The second quartile is same as median. The third quartile separates the lowest 75% of the observations from the higher 25% of the observations. The third quartile is denoted by Q3. The third quartile can obtained as follows...." Third Quartile is 1 somehow, and I don't understand how it is.