MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:12. a. Would the correlation between the age of a child and the number of vocabulary words they
know be positive, negative, or would there be no correlation? Explain.
b. Would the correlation between the hours of partying the night before an exam one does, and
the final exam grade be positive, negative, or would there be no correlation? Explain.
c. A study was run on the pounds of cheese someone eats per year, and their level of happiness. It
turns out that the two are positively correlated. Give some examples of lurking variables.
n=10
13. The following table shows the age (in months) and the number of hours slept in a day of 10 infants.
Age, x
8
9
10
1 2
18.5 17
Hours slept, y
12.5
10.5 11
3 4 5 6
16.2 14.8 13.7 13
a.) Draw a scatterplot of the data. y 20
Label each axis with a scale.
18
Dots can be approximately located.
HRS Slept
1/6
ه دوره 2 - 2
0
●
24
7
12
Age
xx
10 12
Transcribed Image Text:b.) Approximate the correlation coefficient.
c.) The regression equation is: y = -0.8521x + 18.607. Replace the variables in the equation with the
variable names "age" and "hours slept."
d.) Use the regression equation to predict the amount of sleep for an infant that is 6
months old. Show your work. Use the regression equation to predict how many hours
of sleep a 1.5 year old would need. Show your work.
e.) Why is this correlation negative?
14. 5 students were asked to record their GPA from High School and College. The results are below:
Student HS GPA College GPA
3.8
A
B
C
D
E
2
3
3.1
4
5
4.0
2.5
3.3
2.8
2.2
Sample x-H.S. GPA y- College GPA
1
Sum=
3.5
1.9
2.5
a. Find the correlation coefficient r by filling in the following chart and using the formula:
y²
Sum=
Sum=
x²
Sum=
Sum=
xy
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