In: Statistics and Probability
Country Algeria Argentina Australia Austria Belgium Brazil Burkina Faso Canada China Colombia Denmark Ecuador Ethiopia Finland France Germany Ghana Greece Guatemala Iceland India Ireland Israel Italy Japan Kenya Lebanon Luxembourg Malta Mexico Myanmar Netherlands New Zealand Nicaragua Norway Peru Portugal Spain Sweden Switzerland Tunisia Turkey United Arab Emirates United Kingdom United States Venezuela, RB |
Infant Death/1000 21.9 11.1 3 2.9 3.3 14.6 60.9 4.3 9.2 13.6 2.9 18.4 41.4 1.9 3.5 3.1 42.8 3.6 24.3 1.6 37.9 3 3.2 2.9 2 36.6 7.3 1.6 5.2 11.9 40.7 4.8 3.3 19.4 2.2 13.6 3 3.6 2.4 3.5 12.1 11.6 5.9 3.5 5.6 12.9 |
Obesity % 23.6 26.5 29.9 20.1 22.1 20.1 5.2 30.1 7.3 20.7 21 18 3.3 22.8 25.7 22.7 10.9 25.1 16.4 23.9 4.7 27 25.8 23.7 3.5 5.9 30.8 24.8 28.7 27.6 2.9 21.9 30.6 15.5 24.8 20.4 22.1 26.5 22 21 27.1 29.4 34.5 29.8 35 24.3 |
Is there a linear relationship between the obesity rates and infant mortality for countries in the Global Health Summary data set? Investigate the relationship between obesity rates and infant mortality by using StatCrunch and complete the parts below.
<insert graphic from StatCrunch here>
Answer :
Given that :
a) the plot is
the regression output is:
(b) The correlation coefficient (r) is -0.710.
The equation for the linear relationship is:
y = -0.436*x + 26.623
The critical value is 0.304.
(c) The hypothesis being tested is:
H0: β1 = 0
H1: β1 ≠ 0
The p-value from the output is 0.0000.
Since the p-value (0.0000) is less than the significance level (0.05), we can reject the null hypothesis.
Therefore, we can conclude that the slope is significant.
Yes, there is a valid linear relationship between obesity rates and infant mortality rates.
(d) Yes, the variables may have a cause-and-effect relationship between obesity rates and infant mortality rates.
(e) BMI