Question

Erika Diaz Your name Assignment 10 Correlation, Scatterplot, and Prediction (due 7/30/20 - 1/4/20)(28 pts) 1. A teacher hypot
d. Calculate by hand the correlation between the number of days of school students missed and their final exam scores. Check
9. Compute the regression equation for predicting final exam scores from the number of days of school students missed. Is you
3. Briefly explain what is measured by the standard error of estimate (1) 4. In general, how is the magnitude of the standard
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Answer #1

a. The predictor variable is # of days missed

The criterion variable is Final_exam score

b. The scatterplot

1596124337921_image.png

The relationship is negative and strong

c.

Student # days missed Final_Exam Score
1 3 16
2 2 17
3 5 13
4 8 7
5 4 12
6 7 11
7 6 14
8 1 12
9 5 11
10 9 4
11 6 5
12 4 10
Mean 5 11
SD 2.184 3.700
x y (x-xmean)2 (y-ymean)2 (x-xmean)(y-ymean)
1 3 16 4 25 -10
2 2 17 9 36 -18
3 5 13 0 4 0
4 8 7 9 16 -12
5 4 12 1 1 -1
6 7 11 4 0 0
7 6 14 1 9 3
8 1 12 16 1 -4
9 5 11 0 0 0
10 9 4 16 49 -28
11 6 5 1 36 -6
12 4 10 1 1 1
V(X) 5.166667 sqrt(V(X)) = 2.273030283
V(Y) 14.83333 sqrt(V(Y)) = 3.851406669
COV(XY) -6.25

Correlation coefficient = r =

\frac{cov(X,Y)}{\sqrt{V(X)V(Y)}} = - 0.71393

** Answer 5 parts **

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