Question to test your Correlation Coefficient knowledge

Question

A study investigates whether there is a linear correlation between the number of cups of coffee consumed per day and the number of hours slept per night among college students. The data collected and the corresponding scatterplot are as follows:

tabstat2

Scatterplot showing hours slept vs. cups of coffee consumed, with data points scattered without a clear linear trend.

Calculate the value of the linear correlation coefficient $r$ and determine the critical values of $r$ at a significance level of $alpha equals 0.05$ . Is there sufficient evidence to support the claim that there is a linear correlation between cups of coffee and hours slept?

Accepted Answer

$r almost equals 0.319$

There is insufficient evidence to support the claim that there is a linear correlation between cups of coffee and hours slept.

Answer

$r almost equals 0.319$

There is sufficient evidence to support the claim that there is a linear correlation between cups of coffee and hours slept.

Answer

$r almost equals 0.319$

There is insufficient evidence to support the claim that there is a linear correlation between cups of coffee and hours slept.

Answer

$r almost equals 0.319$

There is sufficient evidence to support the claim that there is a linear correlation between cups of coffee and hours slept.

Correlation Coefficient: Videos & Practice Problems