Question:

Why is it important to visualize the relationship in a scatterplot before performing a correlation?

Explain why it can be beneficial to use regression & the line of best fit

If a researcher found that there was a correlation of r = -0.67 between the number of siblings a person has and introversion, and the researcher sampled n = 30 people, what conclusions can you make about this relationship?

Explain why correlation does not equal causation

How are correlations different than all of the other hypothesis tests we've run before?

A3) Consider the system described by the transfer function. G(S) = 45 + 45+8 252+ 65+ 4 a) (5pts) Write down the controllable canonical form. b) (5pts) Write down the observable canonical form. c) (10pts) Let Xc denotes the state vector for the controllable canonical form and X for the observable canonical form. Find the transformation matrix P such that Xc = PXo. Solution:Problem 1: For the following transfer function s2 + 2s + 3 G(S)= $3 + 5s2 + 8s + 4 a. Obtain the state space representation in controllable canonical form. b. Obtain the state space representation in observable canonical form. c. Repeat parts a & b using MATLAB. Problem 2: Given the following transfer function s+9 G(S) = $2 + 3s + 2 Find the state space representation and draw a block diagram for the system in the following forms a) Controllable Canonical Form. b) Observable Canonical Form. c) Diagonal Canonical Form. Repeat a and b using MATLAB.Repeated measures ANOVA and one-way ANOVA; what's the difference between them? Select the best answer. repeated measures ANOVA is for between subjects designs that contain more than three groups. repeated measures ANOVA is for within subjects designs that look at changes in a variable over time. one way ANOVAs are for within subjects designs normally and repeated measures ANOVA is only for longitudinal designs repeated measures ANOVA is the same thing as a one way ANOVA8. Sketch a regression tree for the below function x]. LI! 118 as l: 114 112 on 9. Tree-based methods are simple and useful for Interpretation, but their prediction is inaccurate. a. What are three methods to improve the accuracy of the tree-based methods? [1. What are the disadvantages of the three methods? Response Analysis Linear Regression Continuous Regression Trees Logistic Regression Categorical Decision Trees Generalized Positive, Counts Linear Models