Ho: p = 0 Ha: p > 0 Find the Linear Correlation Coefficient K

MATLAB: An Introduction with Applications
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Can't figure out what r= is help
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### Determining Linear Correlation between Driver Age and Driver Deaths

You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000:

| Driver Age | Number of Driver Deaths per 100,000 |
|------------|-------------------------------------|
| 18         | 35                                  |
| 38         | 26                                  |
| 18         | 23                                  |
| 57         | 36                                  |
| 64         | 29                                  |
| 80         | 29                                  |
| 53         | 36                                  |

Use a significance level of 0.01 and round all values to 4 decimal places.

---

**Null Hypothesis (Ho):** 
\[ \rho = 0 \]

**Alternative Hypothesis (Ha):** 
\[ \rho > 0 \]

---

**Find the Linear Correlation Coefficient:**

\[ r = \ \]

To determine the linear correlation coefficient, you can use statistical software or calculation methods such as Pearson's correlation formula.

---

### Explanation of Data

The table consists of two columns. The first column lists the ages of the drivers recorded in years. The second column displays the corresponding number of driver deaths per 100,000 individuals in each age group. The ages vary from younger drivers (age 18) to older drivers (age 80), providing a broad range of data points for analysis.

---

By examining the linear correlation between these variables, one can assess whether there is a significant positive relationship between the age of drivers and the frequency of driver deaths. If the correlation coefficient is significantly greater than zero, it suggests a positive correlation.
Transcribed Image Text:--- ### Determining Linear Correlation between Driver Age and Driver Deaths You wish to determine if there is a positive linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000: | Driver Age | Number of Driver Deaths per 100,000 | |------------|-------------------------------------| | 18 | 35 | | 38 | 26 | | 18 | 23 | | 57 | 36 | | 64 | 29 | | 80 | 29 | | 53 | 36 | Use a significance level of 0.01 and round all values to 4 decimal places. --- **Null Hypothesis (Ho):** \[ \rho = 0 \] **Alternative Hypothesis (Ha):** \[ \rho > 0 \] --- **Find the Linear Correlation Coefficient:** \[ r = \ \] To determine the linear correlation coefficient, you can use statistical software or calculation methods such as Pearson's correlation formula. --- ### Explanation of Data The table consists of two columns. The first column lists the ages of the drivers recorded in years. The second column displays the corresponding number of driver deaths per 100,000 individuals in each age group. The ages vary from younger drivers (age 18) to older drivers (age 80), providing a broad range of data points for analysis. --- By examining the linear correlation between these variables, one can assess whether there is a significant positive relationship between the age of drivers and the frequency of driver deaths. If the correlation coefficient is significantly greater than zero, it suggests a positive correlation.
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