If the correlation between one's interest in statistics and being a "fun date" was -0.70, it would mean that:
a. The higher someone's interest was in statistics, the more likely it would be that he or she is a fun date
b. The higher someone's interest was in statistics, less likely it would be that he or she is a fun date
c. There is a 70% chance that someone with an interest in statistics is a fun date
d. There is a 30 % chance that someone with an interest is a fun date.
A negative correlation means that the increase of one variable will be accompanied by a decrease of the other variable.
I am thinking the answer would be B
That's correct! Good job!
The correlation coefficient ranges from -1 to 1 and represents the strength and direction of the linear relationship between two variables. In this case, a correlation of -0.70 indicates a negative relationship between one's interest in statistics and being a "fun date".
To understand the relationship, we can eliminate options C and D because the correlation coefficient does not directly represent the probability of an event occurring.
In a negative correlation, option B is the correct interpretation. The higher someone's interest is in statistics, the less likely it would be that he or she is a "fun date." The negative sign indicates an inverse relationship between the variables - as one variable increases, the other tends to decrease. Therefore, option B is the correct answer.