Question

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.)

s_{x} |
= |

s_{y} |
= |

(c) Calculate *r*, the coefficient of linear correlation,
for the data in part (a). (Give your answer correct to two decimal
places.)

Answer #1

The table given below ,

x | y | x^2 | y^2 | xy | |

24 | 11 | 576 | 121 | 264 | |

33 | 45 | 1089 | 2025 | 1485 | |

57 | 26 | 3249 | 676 | 1482 | |

79 | 18 | 6241 | 324 | 1422 | |

107 | 58 | 11449 | 3364 | 6206 | |

116 | 6 | 13456 | 36 | 696 | |

Sum | 416 | 164 | 36060 | 6546 | 11555 |

(a) The covariance of the set of data is ,

(b)

(c)

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 sx and sy.
(Give...

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 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
6
5
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 sample. 18, 20, 11, 22, 20, 21
(a) Find the range. 11 (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.)

Consider the following sample data: x 11 13 27 22 30 y 28 26 25
20 16 Click here for the Excel Data File a. Calculate the
covariance between the variables. (Negative value should be
indicated by a minus sign. Round your intermediate calculations to
at least 4 decimal places and final answer to 2 decimal places.) b.
Calculate the correlation coefficient. (Round your intermediate
calculations to 4 decimal places and final answer to 2 decimal
places.

Construct a scattergram for each data set. Then calculate r and
r2for each data set. Interpret their values. Complete parts a
through d.
a. x−1,0,1,2,3
y−3,0,1,4,5
Calculate r.
r=.9853 (Round to four decimal places as needed.)Calculate
r2.=0.9709 (Round to four decimal places as needed.)
Interpret r. Choose the correct answer below.
A. There is not enough information to answer this question.
B. There is a very strong negative linear relationship between x
and y.
C.x and y are not related....

Consider the two separate samples given in the data set
(samplecomparison.xlsx). Answer the questions below. Data listed
below.
The range of the first data set is _____ .
The variance of the first data set is ____ . (Round to three
decimal places as needed)
The standard deviation of the first data set is _____ . (Round
to three decimal places as needed)
The range of the second data set is _____ .
The variance of the second data set...

Construct a scattergram for each data set. Then calculate r and
r2 for each data set. Interpret their values. Complete parts a
through d.
a.
x
−1
0
1
2
3
y
−3
0
1
4
5
Calculate r.
r=. 9853.(Round to four decimal places as needed.)
Calculate r2.
r2=0.9709 (Round to four decimal places as needed.)
Interpret r. Choose the correct answer below.
A. There is not enough information to answer this question.
B.There is a very strong negative...

Construct a scattergram for each data set. Then calculate r and
r2 for each data set. Interpret their values. Complete parts a
through d.
a.
x
−1
0
1
2
3
y
−3
0
1
4
5
Calculate r.
r=. 9853. (Round to four decimal places as
needed.)Calculate
r2=0.9709(Round to four decimal places as needed.)
Interpret r. Choose the correct answer below.
A.There is not enough information to answer this question.
B.There is a very strong negative linear relationship between...

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