Question

The Marseille Water Taxi ferries tourists from the harbor at Marseille, France, to the Frioul Islands...

The Marseille Water Taxi ferries tourists from the harbor at Marseille, France, to the Frioul Islands in the Mediterranean Sea. The table below shows the number of passengers on the noontime ferry over seven randomly selected days along with the current ambient temperature in degrees Celsius.

Temperature

Passengers

16

15

19

20

22

20

26

22

18

10

24

18

Use the Marseille Water Taxi data to

A) determine the correlation coefficient for this data and

B) interpret its meaning.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Variables: Temperature(x) Passengers

(y)r = n ?xy – (?x)(?y) / ?[n ?x2 – (?x)2] [ n ?y2 – (?y)2

]n = 6

?x = 16+19+22+26+18+24 = 125

?y = 15+20+20+22+10+18 = 105

?xy= (16*15) +(19*20)+(22*20)+(26*22)+(18*10)+(24*18) = 2244

?x2 = 256+361+484+676+324+576 = 2677

?y2 = 225+400+400+484+100+324= 1933r =(6*2244) – (125*105) / ?[(6*2677)-15625)] *[(6*1933)-11025)]= 339/500.4= 0.6775

Therefore the correlation coefficient is 0.677, which means it is a moderately positive correlation and it also means that y tends to increase as x increases.

ANSWERED IS 100% RIGHT PLEASE RATE ME POSITIVE THANKS

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