{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

lec1_ppt - Stat 108 Linear Regression Lecture 1 Overview of...

Info icon This preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
Stat 108: Linear Regression Lecture 1 January 06, 2014
Image of page 1

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

View Full Document Right Arrow Icon
Overview of Regression Analysis Regression analysis is a statistical methodology to (i) describe the relationship between a response variable Y and a predictor variable X or a set of predictor variables and to (ii) predict the former from the latter. Simple regression: only one predictor variable (Part I). Multiple regression: more than one predictor variables (Part II).
Image of page 2
History and Origin Regression analysis was first developed by Galton (1822-1911) in 19th century in his study of family resemblances. He noted that child’s heights tend to be more moderate than their parents, an effect he called “ regression to mediocrity ”. 1885 study of Francis Galton: The variables are the height of the adult child and the midparent height, defined as the average of the height of the father and the (adjusted) height of the mother. The number of cases is 928, representing 928 children and their 205 parents. Heights of women were adjusted by multiplying 1 . 08 such that men’s and women’s heights would have the same mean.
Image of page 3

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

View Full Document Right Arrow Icon
Child Midparent 1 61.57220 70.07404 2 61.24382 68.22505 3 61.90968 65.12639 4 61.85769 64.23529 5 61.44986 63.88177 6 62.00005 67.02702 ......
Image of page 4
Figure: Scatter plot of child’s height against parent’s height ●● ●● ● ● ● ● ●● ● ● ●● ●● ●● ●● ●● ● ● ●● ●●
Image of page 5

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

View Full Document Right Arrow Icon
Image of page 6
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