Question

If you play tennis, you know that tennis racquets vary in their physical characteristics. The data give measures of bending stiffness and twisting stiffness as measured by engineering tests for 12 tennis racquets

Racquet	bend	twist
1	419	236
2	407	237
3	363	210
4	360	212
5	257	187
6	622	312
7	424	385
8	359	200
9	346	158
10	556	228
11	474	308
12	441	238

If you play tennis, you know that tennis racquets vary in their physical characteristics. The data give measures of bending stiffness and twisting stiffness as measured by engineering tests for 12 tennis racquets: assume a=.05 12. If a racquet has bending stiffness, is it also likely to have twisting stiffness? What is the correlation coefficient between the two measures? a. .250 b..556 c. 229 d. 1547

Answer 1

using excel>data>data analysis>Regression

we have

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.555587
R Square	0.308677
Adjusted R Square	0.239545
Standard Error	54.99133
Observations	12
ANOVA
	df	SS	MS	F	Significance F
Regression	1	13502.45	13502.45	4.465027	0.060729
Residual	10	30240.47	3024.047
Total	11	43742.92
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	92.64757	72.71075	1.274194	0.231409	-69.3621	254.6572
bend	0.357842	0.169348	2.113061	0.060729	-0.01949	0.735172

Ans 12 ) option b is true

r = 0.556

Ans 13) option d is true

p value = 0.061

Ans 14) option c is true

Ans 15) option a is trfue