correlation and causation, algebra homework help

correlation and causation, algebra homework help

4. How could the relationship of the data be classified? 

A fairly strong positive correlation
A fairly weak positive correlation
A fairly strong negative correlation
A fairly weak negative correlation

6. You suspect that the spiciness of food served in a restaurant is positively correlated with number of soft drinks ordered. You have gathered several observations of people ordering food of different spice-levels and the number of soft drinks they ordered. What would be your next steps to test your hypothesis? 

a Plot all data together on a dot plot to assess if there is any visible correlation between the data sets

b Offer a conclusion based on the data you observed.

c Pick two points on the dot plot and find a line of best fit.

d Find the correlation coefficient to see how well the line of best fit actually fits the data.

7. The correlation coefficient for practicing violin and getting better grades in a group of people is 0.8. Analyze the following statement:

Playing violin causes students to get better grades.

Is this a reasonable conclusion? 

a Yes; students who play violin must necessarily get better grades
b Yes; the correlation coefficient is above 0.5, so that implies causation

c No; playing violin and earning better grades are completely unrelated

d

No; even though there is a strong positive correlation, playing violin doesn’t cause students to get better grades

8. Analyze the following statement:.

Brandon puts his water in the refrigerator so it will stay cold.

Is the statement an example of correlation or causation?

Correlation, because there aren’t enough observable trials
Causation, because a refrigerator keeps things cold
No relationship, because water temperature is independent of whether or not it is in a refrigerator
There is not enough information to make a conclusion