Question

 

Hypothesis test for correlation. Use the given data to do the following tasks.

x	y
5	20
6	20
7	15
8	16
9	11
10	11

(a) Calculate the correlation coefficient r.  (use three sig figs)

(b) Find the regression line: y=y=  +  xx. (round values to two decimal places)

(d) Test the claim that there is correlation and find the p-value:  (State answer to three significant figures, which is different than stating values to three decimal places. For our purposes, stating a value to three significant figures is stating the value until there are three non-zero digits after the decimal place.)

(e) Determine whether there is significant correlation. (Use alpha = .05.)

• There is not sufficient evidence to support correlation.
• There is not sufficient evidence to reject correlation.
• There is sufficient evidence to reject correlation.
• There is sufficient evidence to support correlation

Answer 1

Solution : ( a )

X	Y	X * Y	X * X	Y * Y
5	20	100	25	400
6	20	120	36	400
7	15	105	49	225
8	16	128	64	256
9	11	99	81	121
10	11	110	100	121

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Solution : ( b )

X	Y	X * Y	X * X
5	20	100	25
6	20	120	36
7	15	105	49
8	16	128	64
9	11	99	81
10	11	110	100