A researcher is concerned that there might be a relationship between watching "Celebrity Come Dancing" and cortical atrophy. The researcher obtains the brains of 30 inmates from a residential home. He takes a standard-sized slice of cortex from each brain and measures how many synapses it contains. He correlates this measure with a record of how many episodes of "Celebrity Come Dancing" were viewed by each inmate. Here is some of the SPSS output from this study.

Correlations
	Number_of_viewings	synapses
Number_of_viewings	Pearson Correlation	1	-.772**
Sig. (2-tailed)		.000
N	30	30
synapses	Pearson Correlation	-.772**	1
Sig. (2-tailed)	.000
N	30	30
Model Summary and Parameter Estimates
Dependent Variable: synapses
Equation	Model Summary	Parameter Estimates
R Square	F	df1	df2	Sig.	Constant	b1
Linear	.597	41.395	1	28	.000	3865.010	-205.403
The independent variable is Number_of_viewings.

1. A correlation test has been performed on these data. What does it tell us about the relationship between the number of viewings of "Celebrity Come Dancing" and the number of synapses?

(a) That there is a significant positive correlation between these two variables.

(b) That there is a non-significant positive correlation between these two variables.

(c) That there is a significant negative correlation between these two variables.

(d) That there is a non-significant negative correlation between these two variables.

2. How many degrees of freedom does this Pearson's correlation have?

(a) 30

(b) 29

(c) 28

(d) 27

3. Which of these equations correctly describes the regression line that SPSS would fit to the scatterplot?

(a) Predicted Y = 3865.01 + - 205.40 * X

(b) Predicted Y = 3865.01 + 205.40 * X

(c) Predicted Y = 205.40 + 3865.01 * X

(d) Predicted Y = -205.40 + 3865.01 * X

4. What is the value of the intercept in the regression equation?

(a) -.772

(b) 3865.01

(c) -205.403

(d) .597

5. Approximately how much of the variability in number of synapses is accounted for by its relationship with viewing "Celebrity Come Dancing"?

(a) 40%

(b) 60%

(c) 77%

(d) 41%

6. If a person had watched 5 episodes of " Celebrity Come Dancing", approximately how many synapses would you predict them to have?

(a) 2,838

(b) 9,230

(c) 1,360

7. If a person had watched 10 episodes of " Celebrity Come Dancing", approximately how many synapses would you predict them to have?

(a) 2,416

(b) 4,620

(c) 1,811

8. If a person had watched 15 episodes of " Celebrity Come Dancing", approximately how many synapses would you predict them to have?

(a) 1,200

(b) 1,049

(c) 784

9. Which of the regression lines on the graph is the correct one for predicting the number of synapses from the number of episodes of "Celebrity Come Dancing" watched?

(a) Line A.

(b) Line B.

(c) Neither line A nor line B.

10. What should the researcher conclude from these results about the relationship between viewing "Celebrity Come Dancing" and the number of synapses present?

(a) The more episodes that were watched, the fewer the synapses in the tissue sample.

(b) The more episodes that were watched, the greater the number of synapses in the tissue sample.

(c) Watching "Celebrity Come Dancing" produces a reduction in the number of syapses in the cortex.

(d) Watching "Celebrity Come Dancing" produces an increase in the number of synapses in the cortex.