# Negative Correlation Analysis

A negative correlation (r = -0.45) is found between average weekly hours spent playing with non-sibling children at age four and number of days sick in kindergarten. Answer the following questions based on this result.

1. What does a negative correlation mean in this specific scenario?

2. Calculate the coefficient of determination for this scenario.

3. If a journalist made an error in causality when writing an article about these findings, what would they be concluding based on this scenario (one sentence is sufficient)?

4. If this researcher had a sample size of 20 and started with a directional hypothesis, what was the critical r value (using the table in your textbook)?

5. Should she accept or reject her null hypothesis?

6. If the researcher concludes that there is no relationship between hours played with nonsiblings and number of sick days but in fact, there is, what type of decision did s/he make (Type I error / Type II error, or correct decision).

https://brainmass.com/statistics/correlation/negative-correlation-analysis-645466

#### Solution Preview

See the attachment for the full Solution.

1. What does a negative correlation mean in this specific scenario?

It means that the more weekly hours spent playing with non-sibling children at age four, the less number of days sick in kindergarten.

2. Calculate the coefficient of determination for this scenario.

The coefficient of ...

#### Solution Summary

The solution consists of details of conducting a hypothesis test for the correlation between two variables.