Question

A community college announces that the correlation between college entrance exam grades and scholastic achievement was found to be -1.08. On the basis of this you would tell the college that:______

Answer 1

The community college should be informed that the correlation coefficient of -1.08 is invalid as it must fall between -1 and 1. The error must be corrected to accurately determine the correlation between entrance exam grades and scholastic achievement.

Step-by-step explanation:

You would tell the community college that the reported correlation coefficient of -1.08 is not possible because correlation coefficients must fall within the range of -1 to 1. A coefficient of -1 indicates a perfect negative correlation, while a coefficient of 1 indicates a perfect positive correlation. Values outside this range are not valid. Therefore, there must be an error in the reported correlation between college entrance exam grades and scholastic achievement. It's essential to correct this error to obtain a valid correlation coefficient.

Furthermore, if we had a valid correlation coefficient, we could use it, along with other relevant factors like combined SAT scores, class attendance, and hours of study, to help predict scholastic achievement. Since correlations have predictive value, they are crucial in admissions decisions when we compare them against the background of a large number of applicants and limited available slots.

Answer 2

the college should hire a new statistician

Step-by-step explanation:

In statistics correlation is a measure of the linear relationship between two variables.

How closely related the two variables are gives the strength of the relationship.

Positive correlation occurs when an increase in the value of one variable results in an increase in the value of the other.

Negative correlation is when there is an inverse relationship. That is an increase in one variable results in a decrease in the other.

In the given scenario where there is a statistical analysis between exam grades and scholastic achievement, the relationship between them should be a positive one.

The higher the exam grades a student gets the higher his scholastic achievement.

However it is stated that correlation is -1.08. This implies an inverse relationship, which is not correct.

So the college should hire a new statistician who can give more accurate analysis