Question 9 options: 1) 2) 3) 4) 5) 1) The correlation is 0.613 . There is a mode

Question

Question 9 options:

1)

2)

3)

4)

5)

1)

The correlation is 0.613 . There is a moderate negative linear association between temperature and passengers .

2)

The correlation is -0.613 . There is a moderate negative linear association between temperature and passengers .

3)

The correlation is 0.613 . There is a moderate positive linear association between temperature and passengers .

4)

The correlation is -0.613 . There is a moderate positive linear association between temperature and passengers .

5)

The correlation is -0.613 . There is a perfect negative linear association between temperature and passengers . temperature passengers 65 98.9 80.2 98.8 87 87.7 96 93.7 78.7 81.5 35 26 30 31 31 28 30 31 29 32

Explanation / Answer

Ans:

Correlation cofficient,r:

r=(10*26142.8-867.5*303)/SQRT((10*76291.61-867.5^2)*(10*9233-303^2))=-0.613

Option 2) is correct.

The correlation is -0.613 . There is a moderate negative linear association between temperature and passengers.

temperature(x) passenger(y) xy x^2 y^2 1 65 35 2275 4225 1225 2 98.9 26 2571.4 9781.21 676 3 80.2 30 2406 6432.04 900 4 98.8 31 3062.8 9761.44 961 5 87 31 2697 7569 961 6 87.7 28 2455.6 7691.29 784 7 96 30 2880 9216 900 8 93.7 31 2904.7 8779.69 961 9 78.7 29 2282.3 6193.69 841 10 81.5 32 2608 6642.25 1024 total 867.5 303 26142.8 76291.61 9233

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