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# Regression, Outliers, P-value, R

Use the dataset anscomb.sav and SPSS to answer the following questions:

Problem 9.1:
a. Produce the scatter plot for x3 and y3. Do you think there are any outliers?
b. Calculate the correlation coefficient (r) for all the data points
c. What does the p-value in your SPSS output tell you?
d. What does r tell you about the strength of the association between x3 and y3?
e. Is either variable dependent on the other in this problem? Why or why not?

Problem 9.2:
a. Produce the scatter plot for x1 and y1. Do you think there are any outliers?
b. Fit a linear regression model for y1 against x1. Do you think this is a model with a good fit? Why?
c. Based on the results of 9.2b, is x1 a significant predictor for y1? Why?

#### Solution Preview

To complete this Application Assignment, use the dataset anscomb.sav and SPSS to answer the following questions:
Problem 9.1:
a. Produce the scatter plot for x3 and y3. Do you think there are any outliers?

There is a one outlier which is at the top right corner of the scatter plot.

b. Calculate the correlation coefficient (r) for all the data points

Correlations
x3 y3
x3 Pearson Correlation 1 .816**
Sig. (2-tailed) .002
N 11 11
y3 Pearson Correlation .816** 1
Sig. (2-tailed) .002
N 11 11
**. Correlation is significant at the 0.01 level (2-tailed).

c. What does the p-value in your SPSS output tell ...

#### Solution Summary

Regression, outliers and p-values are examined. A scatter plot for x3 and y3 are determined.

\$2.19