Cigarette smoking and cancer have been linked. The number of bladder cancer deaths (in deaths per 100 thousand) and cigarette sales (in cigarettes sold/person) for 36 randomly selected countries are in the table below. X, cigarette sales Y, the number of bladder cancer deaths 14 3.31 20.94 3.64 25.91 5.21 28.64 5.98 25.82 3.52 25.89 4.63 42.4 6.54 33.6 4.78 27.91 4.75 18.2 2.9 22.86 4.78 28.27 4.46 28.04 3.2 20.08 2.94 29.14 5.3 19.96 2.89 23.32 3.72 24.96 5.27 26.38 4.47 21.16 2.9 21.58 4.65 29.18 4.99 21.84 2.91 22.12 4.23 30.34 3.46 40.46 5.6 21.25 5.14 23.44 2.86 16.08 3.06 22.06 3.72 23.44 2.93 20.1 3.08 26.18 4.09 28.92 4.79 23.78 4.89 18.24 2.99 a) State the random variables.     rv X =         of             rv Y =         of         b) The symbol and value of the correlation coefficient are as follows:     Round final answer to 3 decimal places.                 =      Interpret this value: There is a strong           relation between cigarette sales and the number of bladder cancer deaths for countries. c) The symbol and value of the coefficient of determination are as follows:     Round final answer to 3 decimal places.                 =       Interpret this value: About  % of the           explained by the linear model with         as its      variable.

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Cigarette smoking and cancer have been linked. The number of bladder cancer deaths (in deaths per 100 thousand) and cigarette sales (in cigarettes sold/person) for 36 randomly selected countries are in the table below.

X, cigarette sales Y, the number of bladder cancer deaths
14 3.31
20.94 3.64
25.91 5.21
28.64 5.98
25.82 3.52
25.89 4.63
42.4 6.54
33.6 4.78
27.91 4.75
18.2 2.9
22.86 4.78
28.27 4.46
28.04 3.2
20.08 2.94
29.14 5.3
19.96 2.89
23.32 3.72
24.96 5.27
26.38 4.47
21.16 2.9
21.58 4.65
29.18 4.99
21.84 2.91
22.12 4.23
30.34 3.46
40.46 5.6
21.25 5.14
23.44 2.86
16.08 3.06
22.06 3.72
23.44 2.93
20.1 3.08
26.18 4.09
28.92 4.79
23.78 4.89
18.24 2.99

a) State the random variables.

    rv X =         of        

    rv Y =         of        

b) The symbol and value of the correlation coefficient are as follows:

    Round final answer to 3 decimal places.

                = 

    Interpret this value:

  • There is a strong           relation between cigarette sales and the number of bladder cancer deaths for countries.

c) The symbol and value of the coefficient of determination are as follows:

    Round final answer to 3 decimal places.

                = 

     Interpret this value:

  • About  % of the           explained by the linear model with         as its      variable.
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