Question
In: Statistics and Probability
a. Create a scatterplot b. Find the least -squares line c. Plot the line on the diagram
Using the following data.
X Y
3 6
6 10
9 15
12 24
15 21
18 20
a. Create a scatterplot
b. Find the least -squares line
c. Plot the line on the diagram
d. Predict:
Y if X is 10
Y if X is 17
Solutions
Expert Solution
a) Scatter plot:
b) Least Square Line:
From the given data
| S.No. | X | Y | X^2 | Y^2 | XY |
| 1 | 3 | 6 | 9 | 36 | 18 |
| 2 | 6 | 10 | 36 | 100 | 60 |
| 3 | 9 | 15 | 81 | 225 | 135 |
| 4 | 12 | 24 | 144 | 576 | 288 |
| 5 | 15 | 21 | 225 | 441 | 315 |
| 6 | 18 | 20 | 324 | 400 | 360 |
| Total: | 63 | 96 | 819 | 1778 | 1176 |
The regression equation is Y = 1.0667X + 4.8
c) Given X = 10, we find Y value
d) Given X = 17, we find Y value
orchestra answered 2 years agoRelated Solutions
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Plot MATINGS by AGE, then add a least squares line. Include your
plot.
Is there evidence that modeling matings using a linear
regression with age might not be appropriate? Explain. (Hint: Check
for a linear trend and for constant variance about the linear
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AGE
MATINGS
27
0
28
1
28
1
28
1
28
3
29
0
29
0
29
0
29
2
29
2
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2
30
1
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2
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4
33
3
33
3
33
3...
An article gave a scatter plot along with the least squares line of x = rainfall...
An article gave a scatter plot along with the least squares line
of x = rainfall volume (m3) and y =
runoff volume (m3) for a particular location. The
accompanying values were read from the plot.
x
7
12
14
17
23
30
40
51
55
67
72
80
96
112
127
y
4
10
13
15
15
25
27
46
38
46
53
68
82
99
100
(a) Does a scatter plot of the data support the use of...
An article gave a scatter plot along with the least squares line of x = rainfall...
An article gave a scatter plot along with the least squares line
of x = rainfall volume (m3) and y = runoff volume (m3) for a
particular location. The accompanying values were read from the
plot.
x
8
12
14
18
23
30
40
50
55
67
72
85
96
112
127
y
4
10
13
15
15
25
27
45
38
46
53
75
82
99
104
(b) Calculate point estimates of the slope and intercept of the
population...
An article gave a scatter plot along with the least squares line of x = rainfall...
An article gave a scatter plot along with the least squares line
of x = rainfall volume (m3) and y =
runoff volume (m3) for a particular location. The
accompanying values were read from the plot.
x
4
12
14
18
23
30
40
47
55
67
72
80
96
112
127
y
4
10
13
14
15
25
27
44
38
46
53
69
82
99
100
(b) Calculate point estimates of the slope and intercept of the
population...
An article gave a scatter plot along with the least squares line of x = rainfall...
An article gave a scatter plot along with the least squares line
of x = rainfall volume (m3) and y =
runoff volume (m3) for a particular location. The
accompanying values were read from the plot.
x
8
12
14
18
23
30
40
47
55
67
72
82
96
112
127
y
4
10
13
14
15
25
27
48
38
46
53
75
82
99
101
(a) Does a scatter plot of the data support the use of...
An article gave a scatter plot along with the least squares line of x = rainfall...
An article gave a scatter plot along with the least squares line
of x = rainfall volume (m3) and y = runoff volume (m3) for a
particular location. The accompanying values were read from the
plot.
x 8 12 14 16 23 30 40 52 55 67 72 81 96 112 127
y 4 10 13 15 15 25 27 47 38 46 53 69 82 99 103
(a) Does a scatter plot of the data support the use of...
An article gave a scatter plot along with the least squares line of x = rainfall...
An article gave a scatter plot along with the least squares line
of x = rainfall volume (m3) and y =
runoff volume (m3) for a particular location. The
accompanying values were read from the plot.
x
5
12
14
18
23
30
40
46
55
67
72
80
96
112
127
y
4
10
13
15
15
25
27
46
38
46
53
72
82
99
101
(a) Does a scatter plot of the data support the use of...
An article gave a scatter plot along with the least squares line of x = rainfall...
An article gave a scatter plot along with the least squares line
of x = rainfall volume (m3) and y =
runoff volume (m3) for a particular location. The
accompanying values were read from the plot.
x
5
12
14
18
23
30
40
46
55
67
72
80
96
112
127
y
4
10
13
15
15
25
27
46
38
46
53
72
82
99
101
(a) Does a scatter plot of the data support the use of...
(a) Find the least-squares regression line treating number of absences as the explanatory variable and the...
(a) Find the least-squares
regression
line treating number of absences as the explanatory variable and
the final exam score as the response variable.
ModifyingAbove y with caret
equalsnegative 2.688xplus88.378
(Round to three decimal places as needed.)
(b) Interpret the slope and the y-intercept, if appropriate.
Choose the correct answer below and fill in any answer boxes in
your choice.
(Round to three decimal places as needed.)
A.
For every additional absence, a student's final exam score
drops
2.688
points, on...
Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r for...
Find the equation of the least-squares regression line ŷ and the
linear correlation coefficient r for the given data. Round the
constants, a, b, and r, to the nearest hundredth.
{(0, 10.8), (3, 11.3), (5, 11.2), (−4, 10.7), (1, 9.3)}
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