Lecture 10

Question 1

Line of best fit

Answer 1

• Linear line of best fit
• Goal is to minimize the distance between a straight line and every point at
  once
• The way we do this is by finding the line that fits the “best”: smallest sum
  of squared distance between each point and our line

Question 2

Interpreting linear regression

Answer 2

The regression coefficient tells us the expected change in the
dependent variable when there is a one-unit increase in the independent variable

Question 3

y intercept

Answer 3

when x is 0

Question 4

Multiple linear regression/multivariate regression

Answer 4

• Extend our simple linear regression to include multiple
  independent variables
• Sometimes referred to as control variables: independent
  variables that we may not be specifically interested in
  interpreting. We include them to “control for” their influence on
  our outcome variable.

Question 5

Interpreting multiple linear regression

Answer 5

A coefficient in a multiple linear regression tells us the expected
increase (or decrease) in the dependent variable when there is a one
unit increase in the relevant independent variable, holding all other
independent/control variables included in the model constant

Question 6

statistical significance/p value

Answer 6

Statistical significance indicates
how likely it is that the
relationship between two
variables of a sample might have
occurred by chance and might
not actually be generalizable to
population.

it is the stars*** and p value