Question3 A recent study was carried out to evaluate the relationship between th

Question

Question3 A recent study was carried out to evaluate the relationship between the amount of time spent watching television and grades. After collecting information on the average time spent per week watching television (in hours) of 100 students and their GPA, the following simple regression was obtained 3.6-0.09x where y is the GPA and X represents the average number of hours spent watching television per week a) Which of the following scatterplots (not drawn to scale) best describes the relationship between student GPA and time spent watching television: A or B? Give a reason for your answer b) Interpret the intercept in this equation. c) Interpret of the slope in this equation. d) What is the predicted GPA of a student () who spends 10 hours a week watching television? e) The r for this simple regression is 0.36. Interpret this value f What is the value of the correlation c

Explanation / Answer

Result:

a). scatterplot A . This best describes the relation between GPA and time . The slope is negative and the plot in A shows when x values increases, y values decreases.

b). when time spent per week watching television is 0, GPA is 3.6.

c). when time spent per week watching television is increases by 1 hour, GPA is decreases by 0.09.

d). predicted GPA when time spends is 10 hours,

predicted GPA = 3.6-0.09*10 =

=2.7

e).

R square =0.36

36% of variation in GPA is explained by time spent per week watching television.

f).

R square =0.36

sqrt(0.36) =0.6

sign of the slope is negative.

Correlation coefficient r = -0.6

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