The plot below shows some data and the estimuted mgession line -131-3 Practice-

Question

The plot below shows some data and the estimuted mgession line -131-3 Practice- show work: Which of the desoriptions below best desoribes the comelation between x and ,seen hen? Sent o-one o 2200 Strong and positive Weak and positive 505 w. Strong and negative . Weak and negative wi. Uncorrelated and negative 20 40 80 100 The value of each statistic on the left is one of the numbers on the right. Match each stistic to its vale No number will be used twice, and two will nat be used tall standard error of t v test statistic testing HA-0 w. The near comellation coefficient Make up plausible endpoints for a 95% predction intervul for a new observaion when " 50"

Explanation / Answer

a) As the x values increases y values decreases hence (iv)Strong and negative

b)

(v)Linear correlation coefficient=-0.92 ( as strong and egative correlation)

(i) R^2= 0.85 ( as R=(-)0.92)

(iv)Test statistic = -6.72 (Test Statistic must be negative)

(ii)Standard error of b1= 2.13(it must be positive)

(iii)p value=0.00015 (As estimated B1 is -14.3 it is expected that Ho:B1=0 will be rejected so a low p value expected)

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