statistics Flashcards
what is modelling?
the process of setting up and using mathematical equations to describe and make predictions about the real world.
what must we recognise when dealling with models?
all mathematical models make simplifying assumptions and thus limitations must be considered
important exam technique for dealing with modelling questions?
read carefully, underline key terminology and decode into mathematical meaning
how do you formulate a linear model?
use give values and constants to fit an equation into the yb= mx+c format. usually requires some simultaneous solving
what needs to be remembered when interpreting models, evaluating and explaining assumptions/limitations?
be specific. state what constants mean in relation to actual situation, contrast actual values for model values when evaluating and contextualise limitations to real world scenarios
when is linear regression model used?
when there is a strong enough correlation between variables that all points cluster around a straight line and a linear equation can be given to it
regression model in laymans terms and uses
line of best fit used to predict one y variable based on one other known x value
what is the explanatory variable and where is it plotted?
independent variable plotted on the x axis - used to explain changes on the y axis
what is the response variable and where is it plotted?
dependent variable plotted on the y axis - responses to changes in the explanatory variable
full name and official form of the regression line?
least squares regression line
y = a + bx
dependent variable always the subject.
what is interpolation?
we know the relationship between the variables on our regression line for the spread of our data. hence this can confidently be used to predict values within the interval
