Studied by 8 peoplecorrelation, conditional probability and normal distribution
total area under normal curve
1
points of inflection on normal curve
at μ + σ and μ - σ
the parameters for normal distribution
population mean ( μ ) and population variance ( σ 2 )
effect of curve being symmetrical
mean = median = mode
notation for X is normally distributed
X ~ N(μ, σ 2)
parameters for standard normal distribution
population mean = 0 and population variance = 1
how to code X to use standard normal distribution
Z = (X - μ)/σ
when can normal distribution be used to approximate binomial distribution
sample size is large
p is close to 0.5 (because normal distribution is symmetrical)
range of values for PMCC
-1 ≤ r ≤ -1
what does r = 1 indicate
perfect positive linear correlation
what does r = -1 indicate
perfect negative linear correlation
what does r = 0 indicate
no linear correlation
steps to carry out a hypothesis test for zero correlation
state null and alternative hypotheses
the null hypothesis is always that correlation is 0
find critical value in PMCC table (for the given significance level and sample size)
reject null hypothesis if observed r value is in critical region
what is the [meaning of] the gradient of the regression line y = a + bx
the change in y for each unit change in x
making a prediction based on a value from inside the range of the given data
interpolation
making a prediction based on data from outside the range of the given data
extrapolation
the controlled variable
independent/explanatory variable
the effected/measured variable
dependent/response variable
Note
Flashcard