Question

Violet has recorded the age and odometer readings for a sample of 8 vehicles.

XX(Age in years)	2	5	7	8	9	10	12	15
YY(Odometer in km)	25 000	68 900	46 000	112 800	115 000	162 500	137 700	248 000

Compute the observed value of the test statistic for determining whether there is a linear relationship using the slope of the regression line. Choose the closest answer. You may use the following facts about the data:

s2x≈16.2857,   s2y≈5 064 212 679,   sxy≈266 592.8571

Answer 1

correlation coefficient r=	Sxy/(√Sxx*Syy) =	0.9292
Observed value of test statistics t=	r*(√(n-2)/(1-r2))=	6.159