Question

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.

Answer #1

For the following data (a) display the data in a scatter plot,
(b) calculate the correlation coefficient r, and (c) make a
conclusion about the type of correlation. The ages (in years) of 6
children and the number of words in their vocabulary. (b) The
correlation coefficient r is nothing. (Round to three decimal
places as needed.) (c) Which of the following best describes the
type of correlation that exists between age and vocabulary size?
A. Weak positive linear correlation...

The ages in years of 10 children and the number of words in
their vocabulary are shown below.
Age (x) 1 2 3 4 5 6 3 5 2 4
Vocabulary
Size (y) 3 220 540 1100 2100 2600 730 2200 260 1200
Which variable is the dependent variable and which variable is
the independent variable?
Using technology, calculate both the correlation value r and the
regression equation between these two variables.
Interpret the correlation value r in regards to...

For the following data (a) display the data in a scatter plot,
(b) calculate the correlation coefficient r, and (c) make a
conclusion about the type of correlation.
The ages (in years) of
six
children and the number of words in their vocabulary
Age, x
Vocabulary size, y
1
300
2
700
3
1000
4
1450
5
2100
6
2400
make a scatter plot based on this
(b) The correlation coefficient r is
____?
(Round to three decimal places as...

For the following data (a) display the data in a scatter plot,
(b) calculate the correlation coefficient r, and (c) make a
conclusion about the type of correlation.
The ages (in years) of
six
children and the number of words in their vocabulary
Choose the correct scatter plot
(b) The correlation coefficient r is
____
(Round to three decimal places as needed.)
(c) Which of the following best describes the type of
correlation that exists between age and vocabulary size?...

The ages (in years) of eight children and the number of words in
their vocabulary are noted in the table below. Find the correlation
( r ) and then test to see if there is enough evidence to conclude
that there is a significant linear correlation between the
data.
Vocabulary
Age
Size
x
y
1
3
2
440
3
1200
3
1100
4
1500
5
2100
5
2000
6
2600
What is r?
Ho:?
Ha:?
Level of Significance (alpha):?
Number...

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...

Age and Vocabulary Researchers claim that there
is significant positive linear correlation between
population age and vocabulary based on a sample of nine children
with correlation coefficient r = 0.841. Test this claim at the 95%
confidence level. Select one for each blank.
(a) Hypotheses:
H0: [r, rho, x, mu] [=, >=, <=, >, >] 0
Ha: [r, rho, x, mu] [=, >=, <=, >, <] 0
(b) Type of test: [Two sided, Right sided, Left sided]
(c)...

Part 2 (Numerical Descriptive Techniques)
The following data represent the ages of a sample of 25
employees from a government department. Enter this data on a sheet
called Employee Data.
31
43
56
23
49
42
33
61
44 28
48
38
44
35
40
64
52
42
47 39
53
27
36
35 20
Find the median age.
Find the lower quartile of the ages.
Find the upper quartile of the ages.
Compute the range and...

1. Can you tell a child's shoe size by their age? A chart
showing shoe size by age for girls was used to obtain the following
data:
x= age
y= shoe size
1
5
2
8
4
10
5
11
7
12
a) Construct a scatter diagram of the data. Make sure to label
the axes.
b) Does there appear to be a linear relationship?
c) Calculate the correlation coefficient r. Show all of your
work. Use a table to...

Consider the following data:
X
Y
1
13
3
10
5
9
5
5
6
3
Draw a Scatter Plot of the data.
Do you believe the correlation coefficient r will be
positive, negative or close to zero? Why
What is your estimate to the value of Y associated with
X=4?

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