Download presentation

Presentation is loading. Please wait.

1
**Statistical Relationship Between Quantitative Variables**

7
**Statistical Relationship Between Quantitative Variables**

Statistical relationship points to overall tendencies rather than strict rules (e.g., smoking – cancer). Scatter plots X – explanatory variable Y – response variable Interpreting scatter plots: Form, Direction, Strength.

8
**Statistical Relationship Between Quantitative Variables**

The simplest form is the Linear Relationship Math grade Statistics Grade

9
**More Complicated Forms of Statistical Relationships**

Electricity shortage Mean Monthly Temperature

10
No Relationship

11
Linear Relationship

12
**B. Negative linear relationship**

A. Positive linear relationship C. Weak positive relationship D. Strong negative relationship

13
**Linear Correlation Coefficient**

The linear correlation coefficient (r) is a measure for the direction and strength of a linear relationship between two quantitative random variables.

14
**r(X,Y) – Basic Idea (Positive)**

Y – income ($) Y Average of Y X Average of X X – education (yrs)

15
**r(X,Y) – Basic Idea (Negative)**

Y – Statistics grade Average of Y X Average of X X – Time in Pubs (hrs/week)

16
**Linear Regression Line (predicting Y from X)**

The ‘best’ line that fits the scatter plot is the one that minimizes the sum of the (square of the) deviations

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google