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Baseball experts believe that there is a strong linear correlation between the number of games a team wins in a seasons and the teams batting average. Table 8 contains the data for the sixteen National League teams in the 2002 season. What is your conclusion?

Algebra

Chapter 1

Functions and their Applications

Section 8

Regression

Functions

Missouri State University

Harvey Mudd College

Baylor University

Idaho State University

Lectures

01:43

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. An example is the function that relates each real number x to its square x^2. The output of a function f corresponding to an input x is denoted by f(x).

03:18

01:57

Does a major league baseba…

01:53

Does pre-season success in…

06:23

Baseball teams win and los…

00:21

American League baseball g…

Okay, So here were given data about batting averages, a number of wins for the baseball league, and we are asked to determine whether or not there's a strong linear relationship that exists between the number of wins and the team's batting averages. Using the sample of the data right here, we can just insert each of these X and Y variables into our stat edit on our graphing calculators. Uh, going to our calculate. So on my t I 84 I do this by once. It's entered into my l one and L two go into stat scroll over to elk and down to number four Linear regression being certain that your stat diagnostics are turned on. That way we can get our correlation of determination, our coefficient of determination and coefficient of correlation. Uh, in doing this, we end up finding that we have a linear function equal to 0.319 x plus 2 33 0.918 However, we also have a, uh, coefficient of correlation, which is only equal to 0.537 Generally, if we have a strong linear relationship, this should be greater than or equal to 0.7, which is not so. We can conclude from here that we actually do not have a strong linear relationship within this data, Yes.

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