evidence to support a claim of linear correlation between the two sighifncance level of d=U.01. 78.5 9.1 Internet Users 78.2 57.8 66.4 78.7 38.4 Award Winners 5.6 3.4 1.6 10.4 0.1 onstruct a scatterplot. Choose the correct graph below. O B. Oc. OD. 12- 12- 12- 12. 90 Internet Users Internet Users Internet Users Internet Users he linear correlation coefficient is r=| Round to three decimal places needed.)

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The text in the image reads:

"The P-value is [______]."

Below this is an instruction:

"(Round to three decimal places as needed.)"

This indicates a field for entering the P-value, with guidance to round the value to three decimal places. There are no graphs or diagrams included in this image.
Transcribed Image Text:The text in the image reads: "The P-value is [______]." Below this is an instruction: "(Round to three decimal places as needed.)" This indicates a field for entering the P-value, with guidance to round the value to three decimal places. There are no graphs or diagrams included in this image.
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient \( r \), and find the P-value of \( r \). Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of \( \alpha = 0.01 \).

\[
\begin{array}{|c|c|}
\hline
\text{Internet Users} & \text{Award Winners} \\
\hline
78.2 & 5.6 \\
78.5 & 9.1 \\
57.8 & 3.4 \\
66.4 & 1.6 \\
78.7 & 10.4 \\
38.4 & 0.1 \\
\hline
\end{array}
\]

**Construct a scatterplot. Choose the correct graph below.**

**A.**  
(Graph showing an upward trend with some dispersion)

**B.**  
(Graph showing randomly scattered points, no clear trend)

**C.**  
(Graph showing a perfect upward linear trend)

**D.**  
(Graph with an inverse relationship trend)

**The linear correlation coefficient is \( r = \) \_\_\_\_.**  
*(Round to three decimal places as needed.)*

### Explanation of Graphs:

- **Graph A:** Displays a moderate positive correlation with some dispersion of points away from a straight line.
- **Graph B:** Shows points that are widely scattered with no discernible pattern, suggesting no correlation.
- **Graph C:** Represents a perfect positive linear relationship where all points lie precisely on a straight line.
- **Graph D:** Indicates a negative correlation with points forming an inverse relationship.
Transcribed Image Text:Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient \( r \), and find the P-value of \( r \). Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of \( \alpha = 0.01 \). \[ \begin{array}{|c|c|} \hline \text{Internet Users} & \text{Award Winners} \\ \hline 78.2 & 5.6 \\ 78.5 & 9.1 \\ 57.8 & 3.4 \\ 66.4 & 1.6 \\ 78.7 & 10.4 \\ 38.4 & 0.1 \\ \hline \end{array} \] **Construct a scatterplot. Choose the correct graph below.** **A.** (Graph showing an upward trend with some dispersion) **B.** (Graph showing randomly scattered points, no clear trend) **C.** (Graph showing a perfect upward linear trend) **D.** (Graph with an inverse relationship trend) **The linear correlation coefficient is \( r = \) \_\_\_\_.** *(Round to three decimal places as needed.)* ### Explanation of Graphs: - **Graph A:** Displays a moderate positive correlation with some dispersion of points away from a straight line. - **Graph B:** Shows points that are widely scattered with no discernible pattern, suggesting no correlation. - **Graph C:** Represents a perfect positive linear relationship where all points lie precisely on a straight line. - **Graph D:** Indicates a negative correlation with points forming an inverse relationship.
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From the given date we find correlation coefficient and p Value.

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