4. Suppose you are interested in predicting STAT 2220 final course averages base

Question

4. Suppose you are interested in predicting STAT 2220 final course averages based on the ssion line was number of absences from class during the semester. The following regre obtained: y 80-4.5x Which variable in this example is the dependent variable? Be specific. (3 pts) a. / the average gade Which variable in this example is the independent variable? Be specific. (3 pts) b. c. What does the "80" in the regression line equation represent? (3 pts) d. Interpret "80" within the context of the problem. (5 pts) e. What does the "-4.5" in the regression line equation represent? (3 pts) f. Interpret "-4.5" within the context of the problem. (5 pts) Predict the expected STAT 2220 final course average if a student misses 3 classes. Show your work. (4 pts) g.

Explanation / Answer

y = 80 - 4.5 x

(A) here dependent variable is "Final course average of STAT 220 Final COurse"

(B) Here independent variable is "the number of absences in STAT 220 final course"

(C) Here 80 is the intercept of the linear regression line.

(D) Here 80 is the predicted score of any random student who have not missed any class.

(E) Here (-4.5) is the slope of the linear regression line

(F) here (-4.5) means that if we increase the number of absences of any random studentby one value, on an average there is fall of 4.5 points in average marks of student.

(G) If X = 3classes

putting it in linear regression line.

Y = 80 - 4.5 * 3 = 66.5

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