Question

1. In a 2015 report, Johnson discussed the relationship between mean annual temperature and the mortality rate for a type of prostate cancer in men. The subjects were residents of certain regions of Great Britain, Norway, and Finland. Run a correlation between these two variables. You will need the printout to answer a few questions.  

The Data:

Mortality Temperature

102.5    51.3

104.5    49.9

100.4    50

95.9    49.2

87       48.5

95      47.8

88.6    47.3

89.2     45.1

78.9    46.3

84.6    42.1

81.7    44.2

72.2    43.5

65.1    42.3

68.1    40.2

67.3    31.8

52.5    34

What is the Pearson Correlation Coefficient? 3 pts.

Is it significant? 3 pts

Is it a strong correlation? 2 pt.

Answer 1

Solution:-

By using Pearson correlation coefficient formula,

r = 0.9839

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Correlation coefficient values less than +0.8 or greater than -0.8 are not considered significant.

Here, r = 0.9839

Yes, r = 0.9839 is Significant.

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Correlation coefficient values from 0.75 to 1 are considered as an strong correlation.

Yes , r = 0.9839 is a strong correlation.