Question

Use the given data set to complete parts (a) through (c) below. (Use a = 0.05.) x v 10 9.14 8 8.13 13 8.74 9 8.77 11 9.27 14 8.09 6 6.13 4 3.09 12 9.13 7 7.26 5 4.75 1 | 3 Click here to view a table of critical values for the correlation coefficient. a. Construct a scatterplot. Choose the correct graph below. O A. O toot'n'to * TAŚ 12 16 d's 12' 16' °C 8 12 16 934 8 12 16”. b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= (Round to three decimal places as needed.)

Answer 1

Solution :

10	9.14	91.4	100	83.5396
8	8.13	65.04	64	66.0969
13	8.74	113.62	169	76.3876
9	8.77	78.93	81	76.9129
11	9.27	101.97	121	85.9329
14	8.09	113.26	196	65.4481
6	6.13	36.78	36	37.5769
4	3.09	12.36	16	9.5481
12	9.13	109.56	144	83.3569
7	7.26	50.82	49	52.7076
5	4.75	23.75	25	22.5625

n	11
sum(XY)	797.49
sum(X)	99.00
sum(Y)	82.50
sum(X^2)	1001.00
sum(Y^2)	660.07
Numerator	604.89
Denominator	741.60
r	0.8157
r square	0.6653
Xbar(mean)	9.0000
Ybar(mean)	7.5000
SD(X)	2.1148
SD(Y)	0.4512
b	0.4999
a	3.0008

(3)-(«) (3)-(3) ... (3)() - -

Linear correlation coefficient = r = 0.816