Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient r and determine whether there is a linear correlation. c. Remove the point with coordinates (1,9) and find the correlation coefficient r and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. a. Do the data points appear to have a strong linear correlation? No Yes b. What is the value of the correlation coefficient for all 10 data points? (Simplify your answer. Round to three decimal places as needed.) r= Table of Critical Values n 4 5 6 7 a = .05 .950 .878 .811 .754 10- a = .01 .990 .959 .917 .875 10 X

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Refer to the accompanying scatterplot. 

a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. 
b. Find the value of the correlation coefficient \( r \) and determine whether there is a linear correlation. 
c. Remove the point with coordinates (1,9) and find the correlation coefficient \( r \) and determine whether there is a linear correlation. 
d. What do you conclude about the possible effect from a single pair of values?

[Link] Click here to view a table of critical values for the correlation coefficient.

---

**a. Do the data points appear to have a strong linear correlation?**

- [ ] No
- [x] Yes

**b. What is the value of the correlation coefficient for all 10 data points?**

\( r = \) [ ] (Simplify your answer. Round to three decimal places as needed.)

---

**Table of Critical Values**

| \( n \) | \( \alpha = .05 \) | \( \alpha = .01 \) |
|---------|--------------------|--------------------|
| 4       | 0.950              | 0.990              |
| 5       | 0.878              | 0.959              |
| 6       | 0.811              | 0.917              |
| 7       | 0.754              | 0.875              |
| 8       | 0.707              | 0.834              |
| 9       | 0.666              | 0.796              |
| 10      | 0.632              | 0.765              |

---

**Graph Explanation**

In the upper right-hand corner, there is a small scatterplot. The scatterplot displays a pattern of data points that illustrates the relationship between two variables, x and y. The graph is a visual aid to help determine the existence and strength of a linear correlation between these variables, though specific points are not detailed in the image.
Transcribed Image Text:Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between x and y. b. Find the value of the correlation coefficient \( r \) and determine whether there is a linear correlation. c. Remove the point with coordinates (1,9) and find the correlation coefficient \( r \) and determine whether there is a linear correlation. d. What do you conclude about the possible effect from a single pair of values? [Link] Click here to view a table of critical values for the correlation coefficient. --- **a. Do the data points appear to have a strong linear correlation?** - [ ] No - [x] Yes **b. What is the value of the correlation coefficient for all 10 data points?** \( r = \) [ ] (Simplify your answer. Round to three decimal places as needed.) --- **Table of Critical Values** | \( n \) | \( \alpha = .05 \) | \( \alpha = .01 \) | |---------|--------------------|--------------------| | 4 | 0.950 | 0.990 | | 5 | 0.878 | 0.959 | | 6 | 0.811 | 0.917 | | 7 | 0.754 | 0.875 | | 8 | 0.707 | 0.834 | | 9 | 0.666 | 0.796 | | 10 | 0.632 | 0.765 | --- **Graph Explanation** In the upper right-hand corner, there is a small scatterplot. The scatterplot displays a pattern of data points that illustrates the relationship between two variables, x and y. The graph is a visual aid to help determine the existence and strength of a linear correlation between these variables, though specific points are not detailed in the image.
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