Question

The age in years and the number of hours of sleep in one night for seven adults.

Age,x 35,20,59,42,68,38,75

Hrs of sleep,y 7,9,5,6,5,8,4

1. Use excel to do a scatter plot. Remember your title and axis titles.

2. Caculate the correlation coefficient r using excel

3. What is R to the power of 2?

4. calculate the slope,m, of the regression line using excel

5. calculate the y intercept,b, of vthe regression line using excel

6. write the regression line using the answer from problems 4 and 5. Y=mx+b

7. Given the regression line y=2.3x-4, predict y for x=10

Answer #1

The age (in years) and the number of hours of sleep in one night
for seven adults are given below.
Find an equation of the regression line for the data.
Use the regression equation to predict the value of ?? for each
of the ??-values, if
meaningful. If the ??-value is not meaningful to predict the
value of ??, explain why
Age x
35
20
59
42
68
38
75
Hrs of sleep y
7
9
5
6
5
8...

10 students report the number of hours of sleep they had the
night before a test X. The info below reports the results and the
answers correctly are shown as Y
Student
Hours Sleep (X)
No. Correct (Y)
1
3
5
2
1
4
3
5
13
4
6
15
5
1
3
6
2
6
7
4
10
8
3
11
9
3
9
10
5
11
A) calculate the y-intercept of the regression line for these
data. a)...

Suppose that a researcher collected the following set of data
on years of education (X) and number of children for a sample of
married adults:
X
Y
12
2
14
1
17
0
10
3
8
5
9
3
12
4
14
2
18
0
16
2
Draw a scatter plot of the data.
Write out the regression equation, then calculate and
interpret the meaning of the...

Does the number of years that a woman is on birth control (X)
have an effect on how long it takes for her to become pregnant (Y)
once she ceases to use it and tries to have children? A curious
researcher collected the following data for a sample of pregnant
women who had previously used birth control:
Years on Birth Control (X)
Time Until Pregnant (Y)
7.5
25
10.0
31
3.5
42
4.0
36
7.0
13
2.5
22
5.0
56...

The number of elementary schools and the number of secondary
schools for randomly selected areas are listed below. Create a
scatter plot on a piece of scratch paper or using excel (see #18
for graph submission options, you can record the values and do this
later if you have to). ALSO, here you should write down the the
correlation coefficient r r , LaTeX: r^2 r 2 , the regression line
in the form y=mx+b y = m x +...

This same researcher collected at random one child from each of
the eight families in which there was at least one child. She
recorded the following data to study the effects of number of
siblings (X) on happiness of the child (Y), measured on an interval
scale in which low scores indicate a low level of happiness and
high scores indicate a high level of happiness:
X
Y
1
5
0
3
2
4
...

Let X ∼ N(0, 1), ∼ N(0, 1). Let Y = 1.75 + 2X + . Generate 100
samples for (X, Y ). Use the generated data to fit a linear
regression. (a) Report the fitted coefficients and intercept. (b)
Draw a scatter plot of (X, Y ). Add the fitted line and the real
line to the scatter plot with different color.
Using R

RESEARCH QUESTION 1: Are amount of school loan
debt, hours of sleep per night, age, time spent in community
service, and stress related to each other? These variables are in
SPSS as:debt, sleep, age, service, and stress. Each of these
variables was measured so that a bigger value equals
more (ex. 1 = no stress, 7 = high stress).
Based on your investigation of how these variables relate to each
other in SPSS, select the variables that are significantly
correlated...

The ages (in years) of 6 children and the number of words in
their vocabulary
Age, x 1 2 3 4 5 6
Vocabulary size, y 1050 1050 1050 1300 1800 2200
For the following data
(a) display the data in a scatter plot,
(b) calculate the correlation coefficient r
(c) make a conclusion about the type of correlation.

hours spent studying x
1
1
2
4
5
5
tet score y
40
42
51
48
61
67
find the equation of the regression line for the given data.
Then use the regression equation to predict the value of y for each
of the given x values, if meaningful. The number of hours 6
students spent for a test and their scores are shown. a.) x =
2hours b.) x= 4.5 hours c.) x = 15 hrs d.) x...

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