(c) Compute the leverage values for these data. (Round your answers to two decimal places.) X; Yi 22 10 0.38 Leverage Value 24 19 0.28 26 28 29 0.22 33 0.20 40 68 0.92 Do there appear to be any influential observations in these data? Explain.

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**Leverage Values Calculation and Analysis**

- **Task:** Compute the leverage values for the given data. (Round your answers to two decimal places.)

| \(x_i\) | \(y_i\) | Leverage Value |
|---------|---------|----------------|
| 22      | 10      | 0.38           |
| 24      | 19      | 0.28           |
| 26      | 29      | 0.22           |
| 28      | 33      | 0.20           |
| 40      | 68      | 0.92           |

- **Analysis of Influential Observations:**

  There is a question posed: Do there appear to be any influential observations in these data? To determine this, the leverage value for each observation is compared to a threshold. The completed sentence indicates:

  _"Because the leverage value for no observations is greater than 1, we conclude that there are no influential observations."_ 

In this context, it suggests that within the given data set, none of the observations have leverage values exceeding the threshold of 1, and hence, there are no influential observations found within this data set.
Transcribed Image Text:**Leverage Values Calculation and Analysis** - **Task:** Compute the leverage values for the given data. (Round your answers to two decimal places.) | \(x_i\) | \(y_i\) | Leverage Value | |---------|---------|----------------| | 22 | 10 | 0.38 | | 24 | 19 | 0.28 | | 26 | 29 | 0.22 | | 28 | 33 | 0.20 | | 40 | 68 | 0.92 | - **Analysis of Influential Observations:** There is a question posed: Do there appear to be any influential observations in these data? To determine this, the leverage value for each observation is compared to a threshold. The completed sentence indicates: _"Because the leverage value for no observations is greater than 1, we conclude that there are no influential observations."_ In this context, it suggests that within the given data set, none of the observations have leverage values exceeding the threshold of 1, and hence, there are no influential observations found within this data set.
A statistical program is recommended. You may need to use the appropriate appendix table or technology to answer this question.

Data for two variables, \( x \) and \( y \), follow.

\[
\begin{array}{|c|c|c|c|c|c|}
\hline
x_i & 22 & 24 & 26 & 28 & 40 \\
\hline
y_i & 10 & 19 & 29 & 33 & 68 \\
\hline
\end{array}
\]

In this table, the top row represents the values of variable \( x_i \), and the bottom row represents the corresponding values of variable \( y_i \). The data can be used to explore relationships between the two variables, such as correlation or regression analysis.
Transcribed Image Text:A statistical program is recommended. You may need to use the appropriate appendix table or technology to answer this question. Data for two variables, \( x \) and \( y \), follow. \[ \begin{array}{|c|c|c|c|c|c|} \hline x_i & 22 & 24 & 26 & 28 & 40 \\ \hline y_i & 10 & 19 & 29 & 33 & 68 \\ \hline \end{array} \] In this table, the top row represents the values of variable \( x_i \), and the bottom row represents the corresponding values of variable \( y_i \). The data can be used to explore relationships between the two variables, such as correlation or regression analysis.
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