# QNT 351 WEEK 5 LT Assignment–Week 5

## QNT 351 WEEK 5 LT Assignment–Week 5

**QNT 351 WEEK 5 LT Assignment–Week 5**

**Complete **the attached document.

- The city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asked the chief of police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The chief gathered the following sample information.

of the following makes better sense: Cities with more police have fewer crimes, or cities with fewer crimes have more police? Explain your choice.

- Draw a scatter diagram.
- Determine the correlation coefficient.
- Which variable is the dependent variable and which is the independent variable? Hint: Which
- Interpret the correlation coefficient. Does it surprise you that the correlation coefficient is negative?
- Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 20 stations last Tuesday, the correlation was .78. At the .01 significance level, is the correlation in the population greater than zero?
- A study of 20 worldwide financial institutions showed the correlation between their assets and pretax profit to be .86. At the .05 significance level, can we conclude that there is positive correlation in the population?
- The following sample observations were randomly selected.

Determine the correlation coefficient and interpret the relationship between *x* and *y*.

- Refer to the following table

Determine the correlation coefficient and interpret the relationship between *x* and *y*.

**QNT 351 WEEK 5 LT Assignment–Week 5**