# Week12_Nov3_Correlation_Answers - HP 1100 Tutorial for Week...

This preview shows pages 1–2. Sign up to view the full content.

HP 1100 Tutorial for Week 12 Correlation [Dataset] “Week12_Nov3_Correlation.sav” 1. Scatter Plot a) Generate a scatter plot of X and Y: Graphs -> Legacy Dialogs -> Scatter/Dot b) Evaluate the relationship between X and Y from the graph: **Questions: Does it look linear or non-linear? Linear What is the direction of the relationship? Positive What is the degree of the relationship? Need to calculate “ r ”. 2. The Pearson Correlation a) Compute the Pearson correlation r between X and Y: By formula: Measure the variability of X: SS X = Σ ( X ´ X ) 2 = ( 6 5 ) 2 + ( 3 5 ) 2 + ( 5 5 ) 2 + ( 6 5 ) 2 + ( 4 5 ) 2 + ( 6 5 ) 2 = 8 Measure the variability of Y: SS Y = Σ ( Y ´ Y ) 2 =( 4 3 ) 2 +( 1 3 ) 2 +( 0 3 ) 2 +( 7 3 ) 2 +( 2 3 ) 2 +( 4 3 ) 2 = 32 Measure the covariability of X and Y: SP = Σ ( X ´ X )( Y ´ Y ) = ( 6 5 ) ( 4 3 ) + ( 3 5 ) ( 1 3 ) + ( 5 5 ) ( 0 3 ) + ( 6 5 ) ( 7 3 ) + ( 4 5 ) ( 2 3 ) + ( 6 5 ) Pearson correlation r is: r = SP SS X SS Y = 11 8 × 32 = 0.688 Obtain from SPSS: Analyze -> Correlate -> Bivariate -> Select “Pearson” b) Evaluate the relationship between X and Y from Pearson correlation r **Questions: What is the direction of the correlation? Positive.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern