Run a regression, using the data you have from class, assessing the impact of Height, Family Size, and # Hrs on the Computer on Weight. 1) Write out the regression equation and interpret the equation, and each of the slope terms (Height, Family Size, Hrs on Computer, or whichever you use). 2) Is the regression a good one? Evaluate the items needed to answer Q1); F, r-square, appropriate 't' and 'F' statistics, all at the 5% (alpha=.05) significance. To do so, please use the format where you first list the Ho and Ha, then the decision rule, then the decision, then the conclusion. Draw conclusions about each variable, in Q2), and then a quick sentence about the quality of the model overall. "Given the results above, we conclude that .. ."
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Height | Weight | GPA | Study | TV | Computer | FamilySz | Floors | stairs | friends | female | Acctg | Mgmt | Mktg | Fin | IntBus | Other | |
67 | 138 | 4 | 6 | 2 | 1 | 5 | 2 | 26 | 6 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | |
73 | 175 | 3.47 | 5 | 0 | 5 | 4 | 3 | 26 | 5 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | |
62 | 112 | 4 | 6 | 2 | 1 | 4 | 3 | 34 | 3 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | |
64.5 | 122 | 3.5 | 3.4 | 1 | 0 | 5 | 3 | 47 | 4 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | |
69 | 135 | 4 | 4 | 2 | 1 | 4 | 1 | 13 | 5 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | |
61 | 129 | 3.8 | 4 | 2 | 3 | 5 | 2 | 17 | 5 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | |
64 | 135 | 3.4 | 3 | 2 | 0 | 5 | 1 | 0 | 2 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | |
68 | 150 | 4 | 10 | 1 | 0 | 4 | 2 | 31 | 4 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | |
70 | 130 | 3.8 | 4 | 1 | 2 | 4 | 2 | 26 | 8 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | |
65 | 172 | 3.6 | 2.5 | 1.5 | 0.5 | 4 | 2 | 26 | 8 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | |
74 | 235 | 2.6 | 1 | 1 | 1 | 4 | 3 | 52 | 8 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | |
69 | 150 | 3 | 2 | 3 | 3 | 4 | 3 | 26 | 5 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | |
72 | 152 | 2.8 | 2.5 | 0.5 | 3 | 5 | 3 | 30 | 10 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | |
73 | 155 | 3 | 3 | 1 | 2 | 4 | 2 | 26 | 5 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | |
74 | 170 | 3.75 | 2 | 1.5 | 1.5 | 3 | 2 | 15 | 5 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | |
68 | 150 | 3 | 2.5 | 2 | 1 | 4 | 3 | 26 | 10 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | |
63 | 115 | 2.5 | 3 | 1 | 2.5 | 3 | 2 | 13 | 8 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | |
71 | 180 | 2.1 | 1 | 3 | 3 | 4 | 2 | 13 | 10 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | |
72 | 167 | 2.7 | 1 | 2 | 4 | 4 | 2 | 18 | 3 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | |
72 | 180 | 3.8 | 2 | 1.5 | 0.5 | 3 | 1 | 300 | 2 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | |
µ = | 68.575 | 152.6 | 3.341 | 3.395 | 1.55 | 1.75 | 4.1 | 2.2 | 38.25 | 5.8 | |||||||
s = | 4.146257 | 28.65842 | 0.584798 | 2.137257 | 0.759155 | 1.409554 | 0.640723 | 0.695852 | 62.7215 | 2.587419 |
Step by step
Solved in 3 steps