Question

PSY-520 Graduate Statistics

Topic 5 – Benchmark – Correlation and Regression Project

Directions: Use the following information to complete the questions below. While APA format is not required for the body of this assignment, solid academic writing is expected, and documentation of sources should be presented using APA formatting guidelines, which can be found in the APA Style Guide, located in the Student Success Center.

1. Select at least three variables that you believe have a linear relationship.
   1. Specify how you will measure each of these variables (i.e., what instrument will you use and provide an APA reference for the instrument)
2. Collect the data for these variables and describe the data collection technique and why it was appropriate as well as why the sample size was best.
   1. Submit the data collected by submitting the SPSS data file with your submission.
3. Find the Correlation coefficient for each of the possible pairings of variables and describe the relationship in terms of strength and direction.
4. Find a linear model of the relationship between the three (or more) variables of interest. Identify the predictor variables and the criterion variable.
5. Provide the output of the SPSS results and interpret the results using correct APA style.

This benchmark assignment assesses the following programmatic competencies: 3.1: Interpret psychological phenomena using scientific reasoning

Answer 1

(a) and (b):

Let us consider the following variables: Score in Tests, Hours of Study and Financial Condition of the Student's Family...

Here, we just want to find a linear relationship among these variables... In this regard, we can collect a sample of students (say from 10 respondents) and then ask them about the number of hours that they study per day. Analyse their financial condition and then rate it on a predetermined scale (say 1 to 5)...

Later on we can determine the linear relationship among these variables...

Process/Instrument: Multiple Regression in Excel/R/Minitab/ SPSS etc...

Sample Solution:

X1 values	X2 values	Y values
7	3	18
4	3	11
3	3	12
5	2	13
6	4	17
9	5	21
9	4	24
3	4	7
3	3	11
9	3	19
Mean = 5.8	Mean = 3.4	Mean = 15.3

So, the linear equation is:

Score = 3.72 + 1.92*Hours + 0.125*Economic Condition

Excel Solution:

Score	Hour	Financial
18	7	3
11	4	3
12	3	3
13	5	2
17	6	4
21	9	5
24	9	4
7	3	4
11	3	3
19	9	3

The Excel output is:

The Regression Equation is:

Score = 3.72 + 1.92*Hours + 0.125*Economic Condition.