1.Come up with an example of a positive, negative, curvilinear, and zero relatio

Question

1.Come up with an example of a positive, negative, curvilinear, and zero relationship. Note that you can’t use any of the examples in the text. Explain in your own words why we can’t use correlation to determine causality. What kind of research study would we have to use? Come up with an example explain your “correlation doesn’t equal causation” argument.

2.In your own words, describe the benefits of running a two-way ANOVA to test the different effects of 2 different factors instead of doing 2 one-way ANOVAs.

Come up with a sample experiment where you would use a two-way between-subjects ANOVA.

Come up with a sample experiment where you would use a two-way within-subjects ANOVA.

Come up with a sample experiment where you would use a two-way mixed design ANOVA.

Explanation / Answer

zero correlation means there is no linear relationship between the variables x and y. for example

x   y
3   9
2   4
1   1
0   0
-1   1
-2   4
-3   9

here Pearson correlation of x and y = 0.000

because here y2=x is the relationship.

possitive correlation means both two variable is incresing

x   y
0   0
1   2
2   4
3   6
4   9

Pearson correlation of x and y = 0.996

neagtive correlation is one variable increing other decresing

x   y
0   10
1   8
2   6
3   4
4   2

Pearson correlation of x and y = -1.000

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