University admission officers believe that scores on the Scholastic Aptitude Test (SAT) are strongly related to academic performance.  In other words, high school students who have higher SAT scores will have higher grade point averages in college.  For years, officers have been using SAT scores to place college students in certain classes their freshmen year.  Now the admissions director wants to know if this policy is effective. You draw a random sample of 200 college sophomores and compare their SAT scores to their grade point average for their freshmen year.  You calculate a Pearson’s r for correlations and receive a value of .254 between the two variables.  You also calculate the significance of your findings (using a computer) and receive a significance value (p-value) of .000. In a short paragraph, based on the results from the correlation, what will you tell the admissions director? Ensure that you mention the direction of the relationship, the strength of the relationship, and whether your findings are statistically significant.

Question
  1. University admission officers believe that scores on the Scholastic Aptitude Test (SAT) are strongly related to academic performance.  In other words, high school students who have higher SAT scores will have higher grade point averages in college.  For years, officers have been using SAT scores to place college students in certain classes their freshmen year.  Now the admissions director wants to know if this policy is effective. You draw a random sample of 200 college sophomores and compare their SAT scores to their grade point average for their freshmen year.  You calculate a Pearson’s r for correlations and receive a value of .254 between the two variables.  You also calculate the significance of your findings (using a computer) and receive a significance value (p-value) of .000.

    In a short paragraph, based on the results from the correlation, what will you tell the admissions director? Ensure that you mention the direction of the relationship, the strength of the relationship, and whether your findings are statistically significant.

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