Question
In: Statistics and Probability
Now, let’s calculate the least-squares line based on your data. Show your work. x y x2...
- Now, let’s calculate the least-squares line based on your data. Show your work.
|
x |
y |
x2 |
xy |
y2 |
|
1045 |
183 |
|||
|
2266 |
283 |
|||
|
584 |
163 |
|||
|
444 |
205 |
|||
|
2746 |
283 |
|||
|
698 |
146 |
|||
|
796 |
143 |
|||
|
1304 |
223 |
|||
2. Determine the Sample Correlation Coefficient, .
Solutions
Expert Solution
Solution :
| X | Y | XY | X^2 | Y^2 |
| 1045 | 183 | 191235 | 1092025 | 33489 |
| 2266 | 283 | 641278 | 5134756 | 80089 |
| 584 | 163 | 95192 | 341056 | 26569 |
| 444 | 205 | 91020 | 197136 | 42025 |
| 2746 | 283 | 777118 | 7540516 | 80089 |
| 698 | 146 | 101908 | 487204 | 21316 |
| 796 | 143 | 113828 | 633616 | 20449 |
| 1304 | 223 | 290792 | 1700416 | 49729 |
| n | 8 |
| sum(XY) | 2302371.00 |
| sum(X) | 9883.00 |
| sum(Y) | 1629.00 |
| sum(X^2) | 17126725.00 |
| sum(Y^2) | 353755.00 |
| Numerator | 2319561.00 |
| Denominator | 2634303.75 |
| r | 0.8805 |
| r square | 0.7753 |
| Xbar(mean) | 1235.3750 |
| Ybar(mean) | 203.6250 |
| SD(X) | 884.7641 |
| SD(Y) | 54.3377 |
| b | 0.0590 |
| a | 130.7852 |
Sample Correlation Coefficient = r = 0.8805
orchestra answered 2 years agoRelated Solutions
1. The coefficients of the least squares regression line, Y = M*X + B, are determined...
1. The coefficients of the least squares
regression line, Y = M*X + B, are determined by minimizing the sum
of the squares of the
a) x‐coordinates.
b) y‐coordinates.
c) residuals
-----------------------
2 . Which of the following statements are true
about overfitting and underfitting?
a) Models that do not do well on training or test data are said
to underfit the data.
b) They lack enough independent variables to predict the
response variable.
c) A model’s generalization ability refers...
What straight line y=ax+b best fits the following data in the least-squares sense? x 1 2...
What straight line y=ax+b best fits the following data in the
least-squares sense?
x
1
2
3
4
y
0
1
1
2
i. Formulate the problem in the form Ax=b for appropriate A and
b (matrix form).
We want to fit in the function g(x) = a sinx + b cosx for a data
set
x 1 1.5 2 2.5
y 1.902 0.5447 0.9453 2.204
x
1
1.5
2
2.5
y
1.902
0.5447
0.9453
2.204
i. Formulate the problem...
a. Consider d on R, the real line, to be d(x,y) = |x2 – y2|. Show...
a. Consider d on R, the real line, to be d(x,y) =
|x2 – y2|. Show that d is NOT a metric on R.
b.Consider d on R, the real line, to be d(x,y) =
|x3 – y3|. Show that d is a metric on R.
2. Let d on R be d(x,y) = |x-y|. The “usual”
distance. Show the interval (-2,7) is an open set.
Note: you must show that any point z
in the interval has...
Linear Regression When we use a least-squares line to predict y values for x values beyond...
Linear Regression
When we use a least-squares line to predict y values for x
values beyond the range of x values found in the data, are we
extrapolating or interpolating? Are there any concerns about such
predictions?
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...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Which subnet (network address) does host 25.17.102.51 255.255.248.0 belong to?
- Joe Dokes retired today with $1,000,000 in his retirement nest egg. If he followed a cash...
- how is biopsychosocial compatiable model in the future.
- Give at least 5 nursing interventions (with rationale) of nursing diagnosis: Health-seeking behaviors related to patient’s...
- The Wall Street Wizard Co. sold a stock market investing plan through the mail that made...
- Rotating bits in C This rotates bits to the left which means the bits that were...
- Implement a method that meets the following requirements: (a) Takes as parameter 1) an int array...
ADVERTISEMENT