A statement that best describes the data on the scatter plot is: c) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) = 0.37t + 39.67.
In Statistics and Mathematics, there are four (4) major types of relationship (association) in a scatter plot and these include the following:
- Positive linear association.
- Negative linear association.
- No association (None).
- Non-linear association.
Generally speaking, a positive association would exist on a scatter plot when there is a direct variation between two variable i.e when one variable increases, the other variable increases too, or when one variable decreases, the other decreases.
By critically observing the scatter plot shown in the image attached below, we can logically deduce that the type of relationship (association) that would best model this data is both a linear association and a positive association because the variables illustrate a direct variation.
In conclusion, the slope of the line must be a positive value and the y-intercept must be close to 40.
Complete Question:
The scatter plot shows the relationship between the time t, in years after 1900, and the life expectancy L. in years, at birth for a certain
country.
Which of the following statements best describes the data on the scatter plot?
a) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) = 39.67t +0.37.
b) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) = -0.24t+74.33
c) The data on the scatterplot suggests a linear association that could be modeled by the function L(t) = 0.37t +39.67.
d) The data on the scatter plot does not suggest a linear association, so it cannot be modeled by a linear function.