Question

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?

A. Weak negative linear correlation

B. Strong negative linear correlation

C. Weak positive linear correlation

D. Strong positive linear correlation

E. No linear correlation

Age, x |
Vocabulary size, y |

1 | 500 |

2 | 800 |

3 | 1100 |

4 | 1750 |

5 | 2250 |

6 | 2700 |

Answer #1

Ans:

a)

b)

Age, x |
Vocabulary size, y |
xy | x^2 | y^2 | |

1 | 1 | 500 | 500 | 1 | 250000 |

2 | 2 | 800 | 1600 | 4 | 640000 |

3 | 3 | 1100 | 3300 | 9 | 1210000 |

4 | 4 | 1750 | 7000 | 16 | 3062500 |

5 | 5 | 2250 | 11250 | 25 | 5062500 |

6 | 6 | 2700 | 16200 | 36 | 7290000 |

Total | 21 | 9100 | 39850 | 91 | 17515000 |

correlation coefficient r =(6*39850-21*9100)/SQRT((6*91-21^2)*(6*17515000-9100^2))

**r=0.992**

c)

Strong positive linear correlation

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...

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.

1) What are the differences between a bar graph and a
histogram.
2) A scatter plot describes a graph of bivariate data. If
strong correlation exists between the 2 variables, does that mean
that one causes the other? Explain.
3) A scatter plot describes a graph of bivariate data. If
there's weak correlation exists between the 2 variables, does that
mean that one causes the other? Explain.

1. The correlation for a set of data is r=0.99. The residuals
plot for that set of data shows a curved pattern, like a "U" shape.
What conclusion about the data do you reach based on this
information?
A. The association between the explanatory and response
variables is strong, positive and linear.
B. It is not appropriate to use a linear regression model as the
scatterplot is curved.
C. The association between the explanatory and response
variables is strong, positive...

For the accompanying data set, (a) draw a scatter diagram of
the data, (b) by hand, compute the correlation coefficient, and
(c) determine whether there is a linear relation between x and
y.
x y
2 4
4 8
6 12
6 12
7 20
Data set
x
22
44
66
66
77
y
44
88
1212
1212
2020
Critical Values for Correlation Coefficient
n
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10...

For each of the
following data sets, choose the most appropriate response from the
choices below the table.
Data Set #1
Data Set #2
x
y
x
y
10
18
-22
92
13
12
-19
85
18
8
-16
71
24
2
-13
75
27
0
-10
68
32
4
-7
69
21
7
-5
66
41
13
0
62
45
17
2
59
a.
A strong positive linear relation exists
a.
A strong positive linear relation exists
b.
A...

DATA SET
x
y
2.1
3.9
3.8
1.3
2.9
3.6
4.7
4.9
(a) Draw a scatter diagram of the data.
Compute the linear correlation coefficient. The linear correlation
coefficient for the four pieces of data
is____________
(b) Draw a scatter diagram of the data with the
additional data point(10.4,9.3).
Compute the linear correlation coefficient with the additional
data point. The linear correlation coefficient for the pieces of
data is_________
Comment on the effect the additional data point has on
the...

Examining two variables, suppose that you calculate the
correlation coefficient to be equal to 0.14. How would you best
describe this correlation?
A. Weak positive correlation
B. Strong negative correlation
C. Strong positive correlation
D. Weak negative correlation

Match the following
sample correlation coefficients with the explanation of what that
correlation coefficient means. Type the correct letter in each
box.
1. ?= −.15
2. ?= .92
3. ?= −.97
4. r= -1
The regression line is the straight line that bests fits a set
of data points according to what?
A. Most accurate regression criterion
B. Least-squares criterion.
C. Greatest-squares criterion
D. None of the above
4. ?=−1
A. a strong negative relationship between ? and
?
B....

Suppose the correlation coefficient between two variables is
found to be 0.83. Which of the following statements are true?
small values of one variable are associated with large values of
the other variable
the relationship between the variables is weak
a scatter plot of the points would show an upward trend
low values of one variable tend to be paired with low values of
the other variable
there is a strong positive curvilinear relationship between the
variables
there is a...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 8 minutes ago

asked 12 minutes ago

asked 12 minutes ago

asked 34 minutes ago

asked 43 minutes ago

asked 47 minutes ago

asked 47 minutes ago

asked 51 minutes ago

asked 55 minutes ago

asked 1 hour ago

asked 1 hour ago