Question

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Answer 1

(a) The scatter plot looks like this i.e. Option A

300 250 weight 200 150 100 7 7.5 00 9 9.5 10 8.5 Width

(b)

The correlation coefficient is given by: Cov(X,Y) p Cov(X,Y)= σχσY and (X; - X)(Y; -Y) N where N = Size of the data

167.95 Cove, y) = = 27.99 6

PE 27.99 0.88 * 37.24 = 0.866

The linear correlation coefficient is 0.866 or 86.6 %

(c) The critical value for $\rho$ at 0.01 % level of significance and degree of freedom = n-2 = 6-2=4 is 0.917

(d)because the absolute value of the linear correlation coefficient is LESS than the positive critical value, there is NO sufficient evidence to support the claim that there is a linear correlation between overhead width and weight at 0.01% level of significance.