College

The World Bank collects information on the life expectancy of a person in each country and the fertility rate per woman in the country. The data for 24 randomly selected countries are in the table below. Create a scatter plot of the data and state if there appears to be a relationship between life expectancy and the number of births per woman.

[tex]
\[
\begin{tabular}{|c|c|}
\hline
\textbf{Life Expectancy} & \textbf{Fertility Rate} \\
\hline
57.1 & 5.5 \\
82.1 & 2.1 \\
66.9 & 4.6 \\
53.2 & 7.7 \\
74.1 & 2.4 \\
59.8 & 6.3 \\
78.6 & 3.8 \\
61.2 & 5.6 \\
77.1 & 2.4 \\
67.8 & 4.8 \\
67.4 & 3.8 \\
75.6 & 3.0 \\
59.0 & 5.3 \\
68.7 & 4.9 \\
59.2 & 7.0 \\
86.6 & 2.2 \\
71.3 & 3.6 \\
56.7 & 7.2 \\
76.4 & 2.0 \\
63.7 & 5.7 \\
75.9 & 4.4 \\
\hline
\end{tabular}
\]
[/tex]

Answer :

To solve this problem, we'll create a scatter plot to visually represent the relationship between life expectancy and fertility rate for the given countries. Here's how you can do it step by step:

1. Understand the data: We have two sets of data for 21 countries: life expectancy and fertility rate. The life expectancy is measured in years, and the fertility rate is the number of births per woman.

2. Prepare to plot the data: We will create a scatter plot with life expectancy on the x-axis and fertility rate on the y-axis. Each point on the plot will represent a country.

3. Visualize the data: Draw the scatter plot with the following axis:
- X-axis (Horizontal): Life Expectancy
- Y-axis (Vertical): Fertility Rate

4. Plot each data point: Use each pair of life expectancy and fertility rate values to plot a point on the graph.

5. Analyze the scatter plot: Look for any visible patterns or trends. Generally, this type of analysis helps in identifying whether there is any relationship between the two variables.

### Observations and Conclusion:

- As you plot the data, you might notice that as life expectancy increases, the fertility rate tends to decrease. This suggests an inverse relationship or negative correlation between life expectancy and fertility rate.

- Such a pattern indicates that countries with higher life expectancy often have lower fertility rates. This could be due to various socio-economic factors, healthcare availability, education levels, etc., often seen in more developed countries.

Overall, you should conclude that there appears to be an inverse relationship between life expectancy and fertility rate based on the scatter plot.