person	Anxiety	Depression	Anx*Dep	Anxiety2	Depression2
	1	75	42	3150	5625	1764
	2	50	45	2250	2500	2025
	3	27	23	621	729	529
	4	60	35	2100	3600	1225
	5	22	14	308	484	196
	6	5	12	60	25	144
	7	6	11	66	36	121
	8	71	38	2698	5041	1444
	9	9	18	162	81	324
	10	2	23	46	4	529
	11	32	44	1408	1024	1936
	12	10	21	210	100	441
	13	56	32	1792	3136	1024
Mean	Mean	32.6923	27.5385	1143.9231	1721.9231	900.1538
St Dev	St Dev	26.6001	12.3937	1133.4892	2028.6351	706.7582

1. What is the regression line predicting Depression scores from Anxiety Scores?

Draw the scatterplot and the regression line.

If someone had an Anxiety score of 38 what would you predict their Depression score to be?

What is the Standard Error of the Estimate?

2. There has been some research showing that amount of sunlight and amount of rain will affect the sugar content of grapes and thus their quality to make wine. You measure the amount of sunlight, amount of rain and sugar content of grapes across multiple vineyards and get the following correlations.

Amount of Rain Amount of sunlight

Sugar Content -.62 .65

Amount of sunlight -.48 1

a) How much variance in sugar content can be accounted for by amount of rain and sun?

b) What is the multiple correlation coefficient (i.e., R)?

c) If you know how much sun the grapes get, how important is it to know how much rain they also received when predicting sugar content? Provide statistical evidence for your answer.

3. Determine the correlation between X and Y using the following information.

Y'=-1.56X + 61.88 N=25 S²x=116.5233 S²y=379.75 X=456 Y=815