Activity #9 - Regression

Class Activity #9 – Chapter 16 – Regression – Hybrid Methods II

Circle One: Monday Wednesday Friday

Your Names: __________________________________________________________________

Instructions: Read the following scenario, and then answer the questions that follow. Note: This is a lot like you individual Regression Assignment (#7), so pay close attention! I’ll fill in some of the numbers for you here, but you are on our own with Assignment #7

One widely held belief regarding men is that the taller they are, the more attractive women rate them! Imagine a researcher measures men’s height and independently has women rate each man’s level of attractiveness (0 = Not at all attractive to 10 = Extremely attractive). The researcher finds the following data:

	Height (X) in inches	Attractiveness (Y) 0 to 10 scale	X2	Y2	XY
	72	10	5184	100	720
	70	8	4900	64	560
	70	9	4900	81	630
	73	10	5329	100	730
	69	9	4761	81	621
	69	8	4761	64	552
	70	7	4900	49	490
	71	8	5041	64	568
	70	8
	68	6
Total ∑

1. What is the independent variable (the variable we know, or the predictor)? What is the dependent variable (the variable we are predicting, or the criterion variable)? WHY?

2. What is the regression weight (b)? Show your work. That is, calculate b

3. What is the regression intercept (a)? Show your work. That is, calculate a

4. First, what is the regression equation (Y’)? Just give me the formula here. Second, show me the formula with your a and b numbers from Question 1 and 2 above as part of the equation.

5. If Steve is 67 inches tall, what attractiveness rating do we predict women will assign to him? Show your steps, rounding to two decimal places!

6. Now verify your answers by running a regression analysis in SPSS. Did you obtain the same results? Is the association significant?