Question

Consider the following bivariate data.

Point | A | B | C | D | E | F | G | H | I | J |

x |
9 | 8 | 9 | 3 | 7 | 3 | 3 | 4 | 6 | 5 |

y |
6 | 2 | 2 | 3 | 6 | 3 | 3 | 2 | 4 | 6 |

(a) Construct a scatter diagram of the given bivariate data. (Do
this on paper. Your instructor may ask you to turn in this
work.)

(b) Calculate the covariance. (Give your answer correct to two
decimal places.)

(c) Calculate *s _{x}* and

s_{x} |
= |

s_{y} |
= |

(d) Calculate *r* using Constructing a confidence interval
for the population correlation coefficient(Give your answer correct
to two decimal places.)

(e) Calculate *r* using Two Tailed Hypothesis (Give your
answer correct to two decimal places.)

Answer #1

b) The Covariance

c)

d) The Correlation coefficient is

e) Hypothesis Testing

Null Hypothesis

Alternative Hypothesis

Degrees of freedom = n-2= 8

Significance level = 0.05

The critical value of r is 0.63

Hence there is not significant linear relationship between X and Y because calculated value of r is less than critical value.

Consider the following bivariate data.
Point
A
B
C
D
E
F
G
H
I
J
x
0
1
1
2
3
4
5
6
6
7
y
5
5
8
3
4
1
2
0
1
1
(a) Construct a scatter diagram of the given bivariate data. (Do
this on paper. Your instructor may ask you to turn in this
work.)
(b) Calculate the covariance. (Give your answer correct to two
decimal places.)
(c) Calculate sx and sy.
(Give...

Consider the following bivariate data.
Point
A
B
C
D
E
F
G
H
I
J
x
4
5
2
6
7
6
2
5
6
5
y
2
6
4
7
7
0
0
1
5
2
(a) Construct a scatter diagram of the given bivariate data. (Do
this on paper. Your instructor may ask you to turn in this
work.)
(b) Calculate the covariance. (Give your answer correct to two
decimal places.)
(c) Calculate sx and sy.
(Give...

Consider the following set of data.
(24, 11), (33, 45), (57, 26), (79, 18), (107, 58), (116,
6)
(a) Calculate the covariance of the set of data. (Give your answer
correct to two decimal places.)
(b) Calculate the standard deviation of the six x-values
and the standard deviation of the six y-values. (Give your
answers correct to three decimal places.)
sx
=
sy
=
(c) Calculate r, the coefficient of linear correlation,
for the data in part (a). (Give your...

9. Let S = {a,b,c,d,e,f,g,h,i,j}.
a. is {{a}, {b, c}, {e, g}, {h, i, j}} a partition of S?
Explain.
b. is {{a, b}, {c, d}, {e, f}, {g, h}, {h, i, j}} a partition
of S? Explain. c. is {{a, b}, {c, d}, {e, f}, {g, h}, {i, j}} a
partition of S? Explain.

The accompanying data show the number of hours, x,
studied for and the grade received, y (y is
measured in tens; that is, y = 8 means that the grade,
rounded to the nearest 10 points, is 80).
x
2
3
3
4
4
5
5
6
6
6
7
7
7
7
8
y
5
5
6
5
7
7
8
6
9
8
7
9
10
8
9
(a) Use the given scatter diagram to estimate r for...

You are given the following bivariate data about hours spent
studying versus test grade in percent. Below is the data collected
from 5 different students.
Studytime(hr) | test Grade(%)
2.0 72.4
2.5 77.0
3.5 86.0
4.0 94.8
5.5 97.1
Let x be the hour spent studying and y be the test grade in
percent. Using the data above, we have the following:
n = 5, x ̄ = 3.5, y ̄ = 85.46,
sx = 1.369306, sy = 10.78369, r...

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?...

Consider the grouped frequency distribution.
Class Limits
3-5
6-8
9-11
12-14
15-17
f
9
6
5
12
11
(a) Find the mean. (Give your answer correct to two decimal
places.)
(b) Find the variance. (Give your answer correct to two decimal
places.)
(c) Find the standard deviation. (Give your answer correct to two
decimal places.)

Given below is a bivariate distribution for the random variables
x and y. f(x, y) x y 0.5 50 80 0.2 30 50 0.3 40 60 (a) Compute the
expected value and the variance for x and y. E(x) = E(y) = Var(x) =
Var(y) = (b) Develop a probability distribution for x + y. x + y
f(x + y) 130 80 100 (c) Using the result of part (b), compute E(x +
y) and Var(x + y). E(x...

Six Data Tables (A, B, C, D, E, F) are shown
below.
For each Table, decide which of two methods (table
only or equation, graph, or
table) can be used to represent the data.
For the purposes of this question, assume that we only know and
can use two graph forms / equations:
x= c t + d (straight line graph)
and x = b t2+ c t + d (quadratic
curve graph).
A
t
x
0
4...

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