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To explore the relationship between the 2 variables, it is useful to ___________.

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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:

  1. Decide which variable should be the independent variable and which should be the dependent variable.
  2. Draw a scatter plot of the data.
  3. Inspect the scatter plot to determine if there is a relationship between the variables.
  4. Calculate the least-squares line using the equation ŷ = a + bx.
  5. Find the correlation coefficient to assess the significance of the relationship.
  6. Estimate the average height for specific ages using the least-squares line.
  7. Consider whether a line is the best way to fit the data based on the scatter plot.
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