You and a friend debate on whether there is a relationship between spending time outdoors and mental wellness. To test to see whose right, you ask 5 friends about their mental wellness (X) which is rated from 1 (poor mental health) to 10 (mentally healthy). Then you ask how many hours are spent outdoors the past week (Y). The following table shows you the results of your mini study:

X	Y
6	2
3	3
4	5
5	6
8	7

1. Draw out a scatterplot for these data points. Based on the scatterplot, what direction do you think the relationship is?

1. Now complete the table below using the data points provided.

X	x2	Y	y2	XY
6		2
3		3
4		5
5		6
8		7
x=	x2=	y=	y2=	XY=

1. Using the information in the table above, calculate the SP, SS_x and SSy.

1. Now calculate the Pearson's correlation (r):

1. State the null and alternative hypothesis for the correlation.

1. Calculate the t statistic for the correlation.

1. Look up the t critical value or use a t to p value calculator to get the p value. What decision to do you make with regards to the null hypothesis.

1. Compute the r², interpret what the r² means.