Regression

You are a neuropsychologist and you are interested in how the neurotransmitter serotonin is related to aggression. You take the samples of cerebrospinal fluid (CSF) from people who are in prison and you want to know the relationship between level of serotonin (in pmoles/ml of CSF) in the CSF and the number of violent crimes an individual has committed. Fill in the table and answer the following questions. Be sure to show ALL work.

i	Serotonin in CSF (X)	# of Violent Crimes (Y)
1	282	11
2	285	6
3	287	8
4	289	5
5	293	3
6	295	6
7	297	3
8	300	5
9	301	2
10	304	2
11	305	1
12	309	3

1. Draw a scatterplot of the data. Be sure to label the axes.

1. What is the r value?

1. Is this significant?

1. What is the slope of the regression line?

1. What is the y intercept of the regression line?

1. What is the formula for the regression line?

1. Draw the regression line on the scatterplot above.

1. If you know that a prisoner has a CSF level of 286, how many violent crimes would you predict he has committed?