The Essentials of Biostatistics for Physicians, Nurses, and Clinicians

(Ann) #1
7.7 Exercises 123

Table 7.5
Anxiety and Depression Scores for 11
Subjects
Subject ID Anxiety score Depression score
1 24 14
2 9 5
3 25 16
4 26 17
5 35 22
6 1 7 8
7 49 37
8 39 41
9 8 6
10 34 28
1 1 2 8 3 3


  1. Again referring to Table 7.5 , calculate the following: (a) mean anxiety
    score, (b) mean depression score, (c) standard deviations for depression
    and anxiety scores, and (d) Pearson correlation between anxiety score and
    depression score.

  2. An experiment was conducted to study the effect of increasing the dosage
    of a certain barbiturate. Three readings were recorded at each dose. Refer
    to Table 7.6.
    (a) Plot the scatter diagram (scatter plot)
    (b) Determine by least squares the simple linear regression line relating
    dosage X to sleeping time Y.
    (c) Provide a 95% two - sided confi dence interval for the slope.
    (d) Test that there is no linear relationship at the 0.05 level.

  3. Fit the model and predict the sleeping time for a 12 μ M/kg?>


(a) The Pearson product moment correlation coeffi cient
(b) A test result as to whether or not the correlation coeffi cient is signifi -
cantly different from 0 at the 0.05 signifi cance level.
(c) The same test as (b) but at the 0.01 signifi cance level.
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