Week Eight Flashcards
(10 cards)
What does regression allow us to calculate?
The average values of one of the variables (y) when the other variable (x) has a specific value.
What does regression describe?
The relationship between two variables precisely in terms of the line of best fit.
How do we calculate y in terms of regression ?
Y = a ➕ (b ✖️ x)
The outcome variable = the constant ➕ (the slope✖️the independent variable)
What does the residual (e) measure?
How far each observation is from the trend line.
How do we calculate the residual (e)?
e = the average of y ➖ y
How is the line of best fit selected?
So that the residuals have an overall mean of 0.
What does the b parameter tell us about the y?
How much y changes for each unit change in x.
What does the a parameter tell us about y?
The value of y when x = 0
What is one of the benefits for using adjusted r-squared?
Adjusted r-squared becomes smaller if we include to many pointless variables in the model.
What happens when the confidence interval is further away from the b parameter estimate of 0?
The further the CI is from the b parameter the lower the probability that the null hypothesis is true.