A researcher is interested in the relationship between cold weather and hot chocolate sales. On each day over the period of a few weeks, the researcher recorded the daily temperature and the number of hot chocolate orders at a certain coffee shop. The resulting data had a correlation coefficient of 0.87. Can the researcher conclude that cold weather causes increased hot chocolate sales? Explain.(1 point)
Responses
No. Since the correlation coefficient is less than 1, causation is impossible.
Yes. Since the correlation coefficient is close to 1, causation is defined.
No. There could be an unconsidered third variable, so the data only show correlation.
Yes. The researcher kept track of sales for more than a week and that proves causation.
No. There could be an unconsidered third variable, so the data only show correlation.
The results of a recent study showed that students who had better grades in their foreign language studies generally had better grades in math. Does the correlation between these two variables imply causation?(1 point)
Responses
No. The result of a student’s grade in the foreign language study does not affect the grade of the student’s grade in his or her math class.
Yes. The result of a student's grade in the foreign language study does affect the grade of the student's grade in his or her math class.
No. The researcher did not control the type of foreign language being studied.
Yes. The researcher controlled the affects to a students' math grade by choosing only one other course.
No. The result of a student’s grade in the foreign language study does not necessarily cause the grade of the student's grade in their math class to improve.
A scientist is interested in the relationship between exercise and good health. According to the data collected, there is a strong correlation showing that people who exercise regularly are healthier than people who do not. Can the researcher conclude that exercise causes good health? Explain. (1 point)
Responses
No. While there is a strong correlation between good health and exercise, other factors affect a person’s health.
Yes. Since the data shows that people who exercise are healthier than people who do not, causation is proven.
Yes. It is common knowledge that exercise causes good health.
No. The correlation is too weak to prove causation.