Estimate the correlation coefficient for the data plotted below. 45 40 35 30 25 20 15 10 5 0 0 10 0.95 0.35 -0.35 -0.95 20 30 40 ● 50 60

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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### Estimating the Correlation Coefficient

**Question:** Estimate the correlation coefficient for the data plotted below.

Below is a scatter plot displaying a set of points, each defined by x and y coordinates:

- **X-axis (Horizontal):** Ranges from 0 to 60.
- **Y-axis (Vertical):** Ranges from 0 to 45.

The plotted data points appear to be somewhat scattered, with a general upward trend, suggesting a positive correlation. However, there is one data point around (10, 40) that appears to be an outlier compared to the rest of the data points.

**Options for the correlation coefficient estimate:**

- ○ 0.95
- ○ 0.35
- ○ -0.35
- ○ -0.95

Based on the upward trend and scatter of the data points, select the most appropriate correlation coefficient.
Transcribed Image Text:### Estimating the Correlation Coefficient **Question:** Estimate the correlation coefficient for the data plotted below. Below is a scatter plot displaying a set of points, each defined by x and y coordinates: - **X-axis (Horizontal):** Ranges from 0 to 60. - **Y-axis (Vertical):** Ranges from 0 to 45. The plotted data points appear to be somewhat scattered, with a general upward trend, suggesting a positive correlation. However, there is one data point around (10, 40) that appears to be an outlier compared to the rest of the data points. **Options for the correlation coefficient estimate:** - ○ 0.95 - ○ 0.35 - ○ -0.35 - ○ -0.95 Based on the upward trend and scatter of the data points, select the most appropriate correlation coefficient.
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