Question 2: Given below are 6 observations from a study on two variables, x (ACT

Question

Question 2: Given below are 6 observations from a study on two variables, x (ACT- independent variable) and y (GPA-dependent variable). Recall thaDuT:SD00 Person ACT GPA X LO Lo 23 3.42 2.91 32 29 20 3.78N 3.86 3.28 3.39 a. Suppose you are told that covariance of ACT and GPA [ Covtxyl1-1.476. If you are further told that the standard deviation of ACT is 5.18 and the standard deviation of GPA is 0.376 calculate the correlation coefficient [ Corr(ACT, GPA ]. ov(xy)(23-732-3)+(4-252-332)(1-200133)2-25) (378-3,3 a)(2a-533)2o-25)2.20- 1.5 1.5 (5.16)(0.31(o) 1.a5 b. Interpret your solution for part (a). Make sure to comment on whether the relationship is negative/positive and if the relationship is strong or weak. This dara tells us har here 15 a PoSiFive rei an anship berween x and Y. The reiahanship is a1so wean c. In general, what you can say about how ACT is related to GPA? Explain. information be used by a college/university admission department? How could this

Explanation / Answer

A correlation coefficient of 0.77 indicates a strong positive correlation between the two variables. It means GPA, the dependent variable, is positively correlated with ACT, the independent variable. Higher the GPA score, higher would be the ACT score.

Admission department in colleges would use this correlation as guideline. If for any reason the GPA is high and ACT is low, the department could look into the reasons for this. The same thing should be done if GPA is low and ACT is high.

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.