Formula for DSE part 2

Question 1

What is N, P and yi

Question 2

What is the formula for forecast or predictive distribution?

Answer 2

F(y) = P(Y ≤ y).

Question 3

What is the formula for forecast error?

Question 4

What is the formula for quadratic and absolute loss function?

Question 5

What is the general formula of risk

Question 6

What is the general formula of risk for quadratic and absolut eloss

Question 7

What is the formula for (Conditional) predictive modeling?

Question 8

What is the formula for optimal conditional point forecast?

Question 9

What is the formula for optimal conditional point forecast for quadratic loss?

Question 10

What is the formula for the common loss function

Answer 10

“0-1” loss

Question 11

What is euclidean distance formula?

Question 12

What are the steps for knn?

What is the formula for conditional probabilities?

Question 13

What is the formula for standardize and scaling?

Question 14

What is the formula for the last step of knn? for regression task

Question 15

What is the formula for in sample and out sample MSE for KNN?

Question 16

What is the general formula for mean squared error for forecast for knn?

Question 17

What is bayes rule?

Question 18

What is the formula for likelihood? (slide 4)

Question 19

What is the formula for prior probability and evidence? (slkide 4)

Question 20

What is formula for Bayes theorem for a mix of discrete and continuous X and discrete Y(SLIDE 7)

Answer 20

kind of like joint density

Question 21

What is the formula for the naive bayes classifier? (slide 11)

Answer 21

still need to estimate the marginal densities ƒ𝑘j

Question 22

What is the formula for the average of outcomes falling into rectangle for decision tree? (slide 7)

Question 23

What do you want to minimise in regression tree? (slide 7)

Answer 23

W

Question 24

What are the steps to building decision trees? (slide 9)

Question 25

What is the minimisation problem for tree choice in decision trees? (slide 23)

Question 26

What is the formula for L(T,y) (slide 34). Explain what are the variable names

Answer 26

m indexes terminal nodes in tree T. Nm is the no of obs. in terminal node m. ym is the vector of outcomes for obs. in terminal node m.

Question 27

What is the formula for pmk hat? (slide 34)

Question 28

What is the formula for misclassification error generally and for binary case(slide 35)

Question 29

What is the formula for gini index generally and for binary case(slide 35)

Question 29

What is the formula for cross entropy or deviance generally and for binary case(slide 35)

Question 30

What does the k means clustering minimise?

Question 31

What does the first term represent in information criteria?

Question 32

What is the formula for Zm

Question 33

What is level, twist,butterfly movements?

Answer 33

draw them out

Question 34

What is the formula for the linear regression model fitted?

Answer 34

slide 30