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O

The accompanying data represent the number of days absent, x, and the final exam score, y, for a sample of college students in a general education course at a large state university. Complete parts (a) through (e) below.

Click the icon to view the absence count and final exam score data.

Click the icon to view a table of critical values for the correlation coefficient.

(a) ring the least-squares regression in treauing number of absences as the explanatory variable and the man exam score as the response variable.

ŷ=x+

(Round to three decimal places as needed.)

(b) Interpret the slope and the y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.

(Round to three decimal places as needed.)

A. The average final exam score of students who miss no classes is

B. For every additional absence, a student's final exam score drops

C. For every additional absence, a student's final exam score drops

OD. It is not appropriate to interpret the slope or the y-intercept.

(c) Predict the final exam score for a student who misses five class periods.

(Round to two decimal places as needed.)

Compute the residual.

(Round to two decimal places as needed.)

Is the final exam score above or below average for this number of absences?

y =

Above

Below

(d) Draw the least-squares regression line on the scatter diagram of the data. Choose the correct graph below.

O A.

Exam Scores vs. Absences

Statcrunch

im Score

It is not appropriate to interpret the slope.

points, on average. It is not appropriate to interpret the y-intercept.

points, on average. The average final exam score of students who miss no classes is

100-

80-

E 60-

B.

im Score

100-

80-

60

Absences and Final Exam Scores

No. of

absences, x

Final

exam score, y 89.1

Exam Scores vs. Absences

0 1 2 3 4 5 6 7 8

85.9

83.4

81.8 77.6 73.1

Done

63.5 72.7 66.2

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9

67.

Fig: 1