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Lesson 2: Associations in Numerical Data — Practice Questions

  1. 1. A scatter plot shows that as the $x$-values increase, the $y$-values also tend to increase along an approximate straight line. This pattern indicates a ___ linear relationship.

  2. 2. If a scatter plot of two variables shows points scattered randomly with no discernible pattern, it can be concluded that there is ___ relationship between the variables.

  3. 3. A scatter plot shows the height of a thrown baseball over time. The points form a clear arch shape. What type of relationship does this represent?

    • A. Positive linear
    • B. Negative linear
    • C. Nonlinear
    • D. No relationship
  4. 4. A scatter plot where data points cluster around a straight line that goes down from left to right demonstrates a ___ linear relationship.

  5. 5. A scatter plot shows that as $x$ increases, $y$ first increases and then starts to decrease, forming a distinct hill shape. What type of relationship is this?

    • A. Positive linear
    • B. Negative linear
    • C. Nonlinear
    • D. No relationship
  6. 6. A scatter plot tracking the growth of a bacterial colony over time shows the points forming a steep upward curve. This indicates a ___ relationship.

  7. 7. A scatter plot is made to compare the number of hours a student spends studying for an exam and their resulting score. What type of relationship is most likely to be observed?

    • A. Positive linear
    • B. Negative linear
    • C. Nonlinear
    • D. No relationship
  8. 8. When constructing a scatter plot, on which axis is the dependent variable, $Y$, typically placed?

    • A. The horizontal axis
    • B. The vertical axis
    • C. Either axis is acceptable
    • D. It depends on the data range
  9. 9. An analyst wants to see how a car's age affects its resale value. Which variable is the dependent variable ($Y$)?

    • A. Car's age
    • B. Resale value
    • C. Car model
    • D. Original price
  10. 10. A car that is 5 years old has a resale value of 12,000 dollars. If age is the independent variable, this data is plotted as the ordered pair ___.