9 - Interpretation of Correlation and Regression

9 - Interpretation of Correlation and Regression - Chapter...

Info icon This preview shows pages 1–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Chapter 9: Interpretive Aspects of Correlation and Regression PSY 201 2/20/08
Image of page 1

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

View Full Document Right Arrow Icon
Chapter 9: Interpretive Aspects of Correlation and Regression Defined correlation as the measure of the degree of the relationship between two variables . Assess this relationship by determining how each pair of scores (on X and Y) deviate from their means. ( 29 ( 29 Y X S nS Y Y X X r å - - = ( 29 n z z r Y X å =
Image of page 2
Therefore, the size of a correlation really depends on whether each pair of scores have similar deviations from the mean. Example in z score units: Subject z x z y 1 .23 -.23 2 -1.54 1.54 3 1.25 -1.25 To the extent that this relationship holds for all pairs of scores, r will = -1.00
Image of page 3

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

View Full Document Right Arrow Icon
R as Slope of a Line Y = bX + a b = amount of vertical change/amount of horizontal change Have seen that z’ Y =r z X, where r = b When expressed with raw scors, b ≠ r b = r(S Y /S X ) Unstandardized Regression Coefficient (B)
Image of page 4
R and Standard Error of Estimate When correlation is high, standard error of the estimate is low Therefore, can express r as the ratio of S yx to S y 2 1 r S S Y YX - = 2 2 1 Y YX S S r - =
Image of page 5

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

View Full Document Right Arrow Icon
If S YX is zero, r is 1 If S yx = S Y
Image of page 6
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern