For the following scores, ху 4 2 9 1 9.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 33PPS
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Question

a. Draw a scatter plot.

Is this a positive or negative correlation?

Explain what a positive correlation and negative correlation are.

b. Compute the pearson correlation.

For the following scores,
ху
4
2 9
1
9.
Transcribed Image Text:For the following scores, ху 4 2 9 1 9.
Expert Solution
Step 1

a).

The scatter plot can be obtained using EXCEL software.

  • Enter the variable x in column A and y in column B.
  • Select the range of two variables with labels.
  • Go to Insert > Charts > Scatterplot.
  • Click OK.

The result obtained using EXCEL is given below.

Statistics homework question answer, step 1, image 1

Step 2

Correlation:

Correlation a measure that indicates the “go-togetherness” of two data sets. It can be denoted as r. The value of the correlation coefficient lies between –1 and +1. The positive 1 indicates that the two data sets are perfect and both are in the same direction. The negative 1 indicates that the two data sets are perfect and both are in the opposite direction. It will be zero when there is no relationship between the two data sets.

If the data in the scatterplot shows an upward direction, then it is a positive correlation. If the data in the scatterplot shows a downward direction, then it is a negative correlation.

Here, the data has a positive correlation.

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