A survey of several hundred students at the same university asked students to re
ID: 3223979 • Letter: A
Question
A survey of several hundred students at the same university asked students to report the number of credits they were taking and their SAT scores. The fitted line plot on the left regresses Math SAT on credits for all the students in the sample; the one in the middle is for the regression using full-time students only (12 or more credits); the one on the right is for part-time students only (less than 12 credits). The correlation P-value are, respectively, r = +0.12, P-value = 0.017 for all students together; r = +0.07, P-value = 0.19 for fulltime students only; r = +0.17, P-value = 0.745 for part-time students only. Write a paragraph or two discussing the relationship (if any) between number of credits Math SAT score for the population of students from which the sample originated. Be sure to mention strength of relationship, strength of evidence, and possible confounding of variables.Explanation / Answer
Answer:
The correlation coefficient between the two variables credits and math SAT score for all students together is given as 0.12 which means there is a weak positive linear relationship or association exists between the two variables credits and math SAT score. The p-value for significance of this correlation coefficient is given as 0.017 which indicate that the given correlation coefficient is statistically significant at 5% level of significance.
The correlation coefficient between the two variables credits and math SAT score for full time students is given as 0.07 which means there is a very weak positive linear relationship or association exists between the two variables credits and math SAT score. The p-value for significance of this correlation coefficient is given as 0.19 which indicate that the given correlation coefficient is not statistically significant. This correlation is not useful for further prediction.
The correlation coefficient between the two variables credits and math SAT score for part time students is given as 0.17 which means there is low positive linear relationship or association exists between the two variables credits and math SAT score. The p-value for significance of this correlation coefficient is given as 0.745 which indicate that the given correlation coefficient is not statistically significant. This correlation is not useful for further prediction.
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