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 37 randomly selected countries are in the table below. X, cigarette sales Y, the number of bladder cancer deaths 30.34 3.46 19.96 2.89 28.27 4.46 21.58 4.65 22.86 4.78 28.04 3.2 18.06 3.25 18.2 2.9 23.78 4.89 20.1 3.08 18.24 2.99 16.08 3.06 21.25 5.14 28.64 5.98 21.84 2.91 28.92 4.79 26.92 4.69 21.16 2.9 20.94 3.64 26.18 4.09 21.17 4.04 22.57 3.21 26.38 4.47 33.6 4.78 27.56 4.04 14 3.31 27.91 4.75 24.96 5.27 22.12 4.23 42.4 6.54 23.32 3.72 29.18 4.99 23.75 3.95 20.08 2.94 22.06 3.72 25.82 3.52 28.6 4.46 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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Question

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 37 randomly selected countries are in the table below.

X, cigarette sales	Y, the number of bladder cancer deaths
30.34	3.46
19.96	2.89
28.27	4.46
21.58	4.65
22.86	4.78
28.04	3.2
18.06	3.25
18.2	2.9
23.78	4.89
20.1	3.08
18.24	2.99
16.08	3.06
21.25	5.14
28.64	5.98
21.84	2.91
28.92	4.79
26.92	4.69
21.16	2.9
20.94	3.64
26.18	4.09
21.17	4.04
22.57	3.21
26.38	4.47
33.6	4.78
27.56	4.04
14	3.31
27.91	4.75
24.96	5.27
22.12	4.23
42.4	6.54
23.32	3.72
29.18	4.99
23.75	3.95
20.08	2.94
22.06	3.72
25.82	3.52
28.6	4.46