electroencephalograph. An electroencephalogram (EEG) is a tracing of brain waves recorded by an Neurologists have found that the peak EEG frequency in normal children increases with age In study (reported in Science, 1982), 287 normal children ranging from 2 to 16 co hold a 65-gram weight in the palm of their outstretched hand for a brief but unspecified time The peak EEG frequency (measured in hertz) was then recorded for each child. The children we grouped according to age, and the average peak frequency for each age group was recorded. TH data appear in the accompanying table. years old were instructec

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An electroencephalogram (EEG) is a tracing of brain waves recorded by an electroencephalogranh
Neurologists have found that the peak EEG frequency in normal children increases with age in Ph.
study (reported in Science, 1982), 287 normal children ranging from 2 to 16 years old were instructed
to hold a 65-gram weight in the palm of their outstretched hand for a brief but unspecified time
The peak EEG frequency (measured in hertz) was then recorded for each child. The children we
grouped according to age, and the average peak frequency for each age group was recorded. The
data appear in the accompanying table.
AVERAGE PEAK
EEG FREQUENCY
AVERAGE PEAK
EEG FREQUENCY
AGE
AGE
х, уеars
Y, hertz
х, уears
y, hertz
5.33
10
7.28
ndling.
3
5.75
11
7.06
4
5.80
12
7.60
5
5.60
13
7.45
6
6.00
14
8.23
7
5.78
15
8.50
8
5.90
16
9.38
9.
6.23
a. Construct a scattergram for the data.
b. Find the least squares prediction equation.
c. Graph the least squares line on the scattergram.
d. Use the least squares prediction equation to predict the average peak EEG frequency y of x =
7-year-old normal children. [Note: We will find a measure of the reliability of this prediction in
Section 3.9.]
ol ntermo
ulay e rot
Transcribed Image Text:An electroencephalogram (EEG) is a tracing of brain waves recorded by an electroencephalogranh Neurologists have found that the peak EEG frequency in normal children increases with age in Ph. study (reported in Science, 1982), 287 normal children ranging from 2 to 16 years old were instructed to hold a 65-gram weight in the palm of their outstretched hand for a brief but unspecified time The peak EEG frequency (measured in hertz) was then recorded for each child. The children we grouped according to age, and the average peak frequency for each age group was recorded. The data appear in the accompanying table. AVERAGE PEAK EEG FREQUENCY AVERAGE PEAK EEG FREQUENCY AGE AGE х, уеars Y, hertz х, уears y, hertz 5.33 10 7.28 ndling. 3 5.75 11 7.06 4 5.80 12 7.60 5 5.60 13 7.45 6 6.00 14 8.23 7 5.78 15 8.50 8 5.90 16 9.38 9. 6.23 a. Construct a scattergram for the data. b. Find the least squares prediction equation. c. Graph the least squares line on the scattergram. d. Use the least squares prediction equation to predict the average peak EEG frequency y of x = 7-year-old normal children. [Note: We will find a measure of the reliability of this prediction in Section 3.9.] ol ntermo ulay e rot
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