Final answer:
To explore the relationship between the two variables in a math problem, you should decide on the independent and dependent variables, create a scatter plot, analyze the scatter plot for a potential relationship, calculate the least-squares line, find the correlation coefficient, estimate average values, and determine if a line is the best fit.
Step-by-step explanation:
To explore the relationship between the two variables, it is useful to:
- Decide which variable should be the independent variable and which should be the dependent variable.
- Draw a scatter plot of the data.
- Inspect the scatter plot to determine if there is a relationship between the variables.
- Calculate the least-squares line using the equation ŷ = a + bx.
- Find the correlation coefficient to assess the significance of the relationship.
- Estimate the average height for specific ages using the least-squares line.
- Consider whether a line is the best way to fit the data based on the scatter plot.