Question

Please calculate the regression line for the data below. The variance of X is 36. The variance of Y is 100. The covariance equals four. You must show all your work.

X Y

3 20

15 32

7 16

15 8

Answer #1

Using the table below, calculate the variance of X, variance of
Y, standard deviation of X, standard deviation of Y, the covariance
between X and Y, the correlation coefficient between X and Y, and
find the regression line assuming X is the independent variable
(find the slope and the intercept). Show your work.
X
Y
X-Xbar
Y-Ybar
(X-Xbar)^2
(Y-Ybar)^2
(X-Xbar)*(Y-Ybar)
3
1
8
5
10
13
15
18
19
23

Refer to the data below. Suppose X is the independent variable
and Y is the dependent variable. Calculate the variance of X,
variance of Y, standard deviation of X, standard deviation of Y,
the covariance between X and Y, the correlation coefficient between
X and Y, the slope of the regression line, the Y intercept of the
regression, ESS, RSS, TSS, and R-square of the regression line.
Predict the value of Y when X=25. Show your work by constructing
the...

Using the data below find the slope of the regression line.
x
y
xy
x2
y2
3
4
12
9
16
4
6
24
16
36
5
7
35
25
49
7
12
84
49
144
8
14
112
64
196
27
43
267
163
441

Based on the data shown below, calculate the regression line
(each value to two decimal places)
y =_____ x + ______
x
y
5
8.4
6
9.4
7
8.6
8
7.2
9
8.6
10
9.6
11
10.6
12
9.8
13
11.3
14
13.6
15
11.1
16
15
17
15.5
18
13.1

Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = x +
x
y
3
17.28
4
17.04
5
17.3
6
21.46
7
21.52
8
19.38
9
22.14
10
21.7
11
22.16
12
22.92
13
21.38
14
21.54
15
25
16
23.56
17
23.32
18
24.18

Based on the data shown below, calculate the regression line
(each value to two decimal places)
y= ____x+ _____
data:
x, y
5
27.95
6
30.98
7
31.31
8
35.74
9
36.57
10
43.3
11
45.03
12
45.36
13
48.39
14
52.12
15
55.45
16
59.08
17
62.01

Find the unexplained variation for the paired data. The equation
of the regression line for the
paired data below is y = 3x.
x
2
4
5
6
y
7
11
13
20
A) 88.75
B) 14.25
C) 78.75
D) 10.00
Please show all work. Thank you.

Based on the data shown below, calculate the regression line
(each value to two decimal places)
Be careful: Some programs may give the equation in the form
y=b+mx
y= ⋅x+
x
y
4
46.84
5
40.02
6
38.5
7
34.88
8
35.16
9
32.54
10
28.52
11
24.6
12
21.98
13
20.66
14
17.54
15
13.82
16
11.7

Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = x +
x
y
3
29.25
4
25.42
5
22.49
6
17.96
7
17.33
8
12.2

Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = x +
x
y
4
16.36
5
17.8
6
15.04
7
14.28
8
14.32
9
12.56
10
15.8
11
11.64
12
12.78
13
12.52
14
10.66
15
12.8

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