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Chapter 7-10

School

University of AlbertaDepartment

BiochemistryCourse Code

BIOCH499AProfessor

Gail Amort- LarsonChapter

7-10This

**preview**shows pages 1-3. to view the full**29 pages of the document.**Chapters 7 – 10: Exploring Relationship Between Variables -

Linear Regression and Correlation

In these chapters, we will quickly talk about

Scatter-plots

Association between two quantitative variables

The purposes of regression and correlation analysis,

How to compute and to interpret a correlation coefficient,

How to compute and to interpret regression equations,

How to predict the outcome of a variable, extrapolating,

Residuals, outliers, influential points,

Only pages 1-3 are available for preview. Some parts have been intentionally blurred.

Definition: A scatter-plot is a graphical display for two quantitative

variables. It uses the horizontal axis for the explanatory variable X and the

vertical axis for the response Y. The values of X and Y for a subject are

represented by a point relative to the two axes. The observations for the

n

subjects are

n

points on the scatter-plot.

Example 1: Find the scatter-plot of the following data

x 4 2 5 1

y 5 3 6 2

Only pages 1-3 are available for preview. Some parts have been intentionally blurred.

Definition: Two quantitative variables are said to have a positive

association when high value of X tend to occur with high value of Y, and

when low values of X tend to occur with low values of Y. They are said to

have a negative association when high values of one variable tend to pair

with low values of the other variable, and low values of one pair with high

values of the other.

Title: scatter-plot of Olympic gold medal

performances in the men’s high jump from 1960 to

1984.

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