12. The scatterplot displays the relationship between height and field-goal percentage for all the basketball players on the 2013 roster of the Brooklyn Nets.92 Field-goal percentage 70 60 40 30 75.0 ● 77.5 80.0 82.5 Height (in.) 85.0 (a) Describe the association shown in the scatterplot. (b) Use the following summary statistics to calculate the equation of the least-squares regression line: mean height = 78.9 inches, standard deviation of height = 3.29 inches, mean field-goal percentage = 45.3, standard deviation of field-goal percentage 7.1, and correlation = 0.59. =

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**Scatterplot Analysis: Height vs. Field-Goal Percentage for Brooklyn Nets Players (2013)**

The scatterplot illustrates the relationship between the height (in inches) and field-goal percentage for the basketball players on the Brooklyn Nets roster in 2013. Each point represents an individual player.

**Graph Explanation:**

- **Axes:** 
  - The horizontal axis (x-axis) indicates the Height in inches ranging from 74 to 85.
  - The vertical axis (y-axis) represents the Field-goal percentage, ranging from 30% to 70%.

- **Data Points:** The scatterplot consists of multiple data points scattered across various heights and field-goal percentages. This demonstrates how players' heights correlate with their field-goal success rates.

**Task (a):** Describe the association shown in the scatterplot.

**Task (b):** Use the following summary statistics to calculate the equation of the least-squares regression line:
- Mean height = 78.9 inches
- Standard deviation of height = 3.29 inches
- Mean field-goal percentage = 45.3%
- Standard deviation of field-goal percentage = 7.1%
- Correlation = 0.59

These summary statistics can be used to explore the relationship between height and performance, providing insights into how height may influence field-goal accuracy for the team.
Transcribed Image Text:**Scatterplot Analysis: Height vs. Field-Goal Percentage for Brooklyn Nets Players (2013)** The scatterplot illustrates the relationship between the height (in inches) and field-goal percentage for the basketball players on the Brooklyn Nets roster in 2013. Each point represents an individual player. **Graph Explanation:** - **Axes:** - The horizontal axis (x-axis) indicates the Height in inches ranging from 74 to 85. - The vertical axis (y-axis) represents the Field-goal percentage, ranging from 30% to 70%. - **Data Points:** The scatterplot consists of multiple data points scattered across various heights and field-goal percentages. This demonstrates how players' heights correlate with their field-goal success rates. **Task (a):** Describe the association shown in the scatterplot. **Task (b):** Use the following summary statistics to calculate the equation of the least-squares regression line: - Mean height = 78.9 inches - Standard deviation of height = 3.29 inches - Mean field-goal percentage = 45.3% - Standard deviation of field-goal percentage = 7.1% - Correlation = 0.59 These summary statistics can be used to explore the relationship between height and performance, providing insights into how height may influence field-goal accuracy for the team.
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