Linear Regression

Question 1

What is the sum of the residuals from the best fit line?

Answer 1

0

Question 2

What is the goal of simple linear regression?

Answer 2

To come up with a model to minimise the sum of the squares of the residuals

Question 3

What is the centroid?

Answer 3

The point plotted (E(x), E(y)) on a graph of two variables that the regression line ALWAYS goes through

Question 4

What is S_xx? And what is it used for? (kinda trick question)

Answer 4

Sample corrected sum os squares and it has no statistical significance

Question 5

Formula for Var(X) in terms of S_xx

Answer 5

Var(X) = S_xx/n-1

Question 6

Formula for S_xx (Both of them boi)

Answer 6

S_xx = Σ(x-µ)² = Σ(x²) - (Σx)²/n

Question 7

What’s the formula for S_yy the same as?

Answer 7

The formula for S_xx

Question 8

What does Covariance show?

Answer 8

Covariance shows the direction of the relationship the two variables have, essentially how do they vary together and it gives the direction to a r value

Question 9

What is the formula for r?

Answer 9

r = S_xy/sqrt(S_xx*S_yy)

Question 10

How do you find a linear regression line for an exponential relationship?

Answer 10

Code the exponential relationship to a linear one

Question 11

What are the two forms of an exponential relationship?

Answer 11

y = axⁿ and y = kb^x