0.3 0.2 + 0.1 0+ -0.1 + -02+ 1.6 1.8 2.0 2.2 2.4 2.6 Predicted 7 6. 3 + # of Years Residuals
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!
Marriage age 2010 The
decrease in the difference in ages at first marriage for
men and women since 1975. We want to examine the
regression to see if this decrease is significant.
R-squared = 72.6%
s = 0.186 with 33 - 2 = 31 degrees of freedom
Variable Coefficient SE(Coeff) t-Ratio P-Value
Intercept 60.055 6.396 9.39 ...0.0001
Year -0.029 0.0032 -9.05 ...0.0001
a) Write appropriate hypotheses.
siduals. Do you think the conditions for inference are
the trend in age at first marriage.
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