Question
ŷ = 20 + 0.8x is given for the data below. Please show steps. xi 70...
ŷ = 20 + 0.8x is given for the data below. Please show steps.
|
xi |
70 |
75 |
80 |
80 |
85 |
90 |
|
yi |
75 |
82 |
80 |
86 |
90 |
91 |
|
ŷi |
76 |
80 |
84 |
84 |
88 |
92 |
|
ei |
-1 |
2 |
-4 |
2 |
2 |
-1 |
Calculate SSE, the sum of square errors.
Calculate the sample estimate of the variance for the regression model. What is it's purpose?
Calculate the value of R2. What does R2represent?
Homework Answers
Answer #1
| X | Y | Y' | (Y-Y') | (Y-Y')^2 | (Y'-Y_bar)^2 |
| 70 | 75 | 76 | -1 | 1 | 64 |
| 75 | 82 | 80 | 2 | 4 | 16 |
| 80 | 80 | 84 | -4 | 16 | 0 |
| 80 | 86 | 84 | 2 | 4 | 0 |
| 85 | 90 | 88 | 2 | 4 | 16 |
| 90 | 91 | 92 | -1 | 1 | 64 |
| Mean | 84 | Sum | 30 | 160 |
SSE: 
or 
The sample estimate of variance, SSR: 
The amount variance covered by regression is sample estimate of variance.
SST=SSR+SSE= 190
The percentage of estimated variance covered by regression:
Not the answer you're looking for?
Similar Questions
Below represent scores on an exam, each entry one score for one student 40 99 59...
Below represent scores on an exam, each entry one score for one
student
40
99
59
98
63
63
64
65
67
35
67
67
68
70
71
71
71
46
72
72
60
73
74
74
74
75
97
75
62
76
76
76
76
76
77
57
77
98
77
63
78
78
78
79
79
80
80
80
80
80
81
81
92
81
93
82
82
83
83
83
83
83
83
83
84
84
84...
please answer ALL the question 1--The diastolic blood pressure (in mm Hg) of 84 patients with...
please answer ALL the question
1--The diastolic blood pressure (in mm Hg) of 84 patients with
hypertension was:
88 98 78 84 77 81 90 82 75 72 92 85 92 77 84 77 82 100
92 88 74 80 95 90 87 80 83 77 86 80 88 90 79 82 93 100
80 85 96 85 90 84 82 95 88 97 80 88 94 92 88 96 90 103
88 86 84 90 98 88 86 95...
Given the data below for the oil market, show a supply and demand diagram, determine the...
Given the data below for the oil market, show a supply and
demand diagram, determine the linear equations for demand and for
supply, and find the equilibrium price and quantity in the market.
Find both sets of equations for Q = f(P), and P = f(Q).
QD
P
QS
83
60
80
82
70
82
81
80
83
80
90
83
79
100
84
78
110
85
77
120
86
76
130
86
76
140
87
75
150
88
Would...
36, 52, 60, 60, 62, 65, 65, 65, 70, 72, 74, 75, 75, 76, 76, 78,...
36, 52, 60, 60, 62, 65, 65, 65, 70, 72, 74, 75, 75, 76, 76,
78,
79, 79, 80, 80, 82, 83, 84, 85, 88, 90, 90, 92, 95, 98, 99
Please find the outlier of the above set:
Mid Score Final Score 80 78 87 85 72 81 69 54 86 70 83 73...
Mid Score
Final Score
80
78
87
85
72
81
69
54
86
70
83
73
78
89
75
84
74
86
75
79
84
75
73
63
74
72
73
69
80
86
75
78
72
75
77
68
76
77
66
78
74
77
71
73
85
79
74
74
76
79
76
73
84
72
77
81
78
86
86
76
81
83
78
83
85
86
73
71
83
83
83
79
72
68
83
90...
The data file ExxamScores shows the 40 students in a TOM 3010 course exxam scores for...
The data file ExxamScores shows the 40 students
in a TOM 3010 course exxam scores for the Middtermm and Final
exxam. Is there statistically significant evidence to show that
students score lower on their final exxam than middtermm exxam?
Provide the p-value for this analysis.ROUND TO 4 DECIMAL
PLACES.
ExxamScores
Student ID #
Middtermmm
Final
56065
97
64
79499
95
85
59716
89
72
83504
79
64
77735
78
74
57760
87
93
78204
83
70
81177
94
79
54398...
The Test Scores for a Statistics course are given in the Excel below. The data (X1,...
The Test Scores for a Statistics course are given in the Excel
below.
The data (X1, X2, X3, X4) are for each student.
X1 = score on exam #1
X2 = score on exam #2
X3 = score on exam #3
X4 = score on final exam
Your professor wants to know if all tests are created equal.
What is the F-Stat?
EXAM1
EXAM2
EXAM3
FINAL
73
80
75
65.86667
93
88
93
80.16667
89
91
90
78
96
98...
Consider the data. xi 3 12 6 20 14 yi 65 35 50 15 20 The...
Consider the data.
xi
3
12
6
20
14
yi
65
35
50
15
20
The estimated regression equation for these data is
ŷ = 70 − 3x.
(a)
Compute SSE, SST, and SSR using equations
SSE = Σ(yi −
ŷi)2,
SST = Σ(yi −
y)2,
and
SSR = Σ(ŷi −
y)2.
SSE = SST = SSR =
(b)
Compute the coefficient of determination
r2.
(Round your answer to three decimal places.)
r2
=
Comment on the goodness of fit....
TestScore 53 53 56 56 56 58 58 58 59 59 59 60 60 62 63...
TestScore
53
53
56
56
56
58
58
58
59
59
59
60
60
62
63
63
63
64
65
65
66
67
67
67
67
68
69
69
69
69
71
71
72
72
72
72
73
73
73
73
73
74
75
75
75
76
76
76
76
77
77
77
77
77
78
78
78
79
79
79
79
80
80
80
80
80
80
81
81
81
82
82
83
83
83
83
84
84
84...
Student Grades Student Test Grade 1 76 62 2 84 90 3 79 68 4 88...
Student Grades
Student
Test
Grade
1
76
62
2
84
90
3
79
68
4
88
84
5
76
58
6
66
79
7
75
73
8
94
93
9
66
65
10
92
86
11
80
53
12
87
83
13
86
49
14
63
72
15
92
87
16
75
89
17
69
81
18
92
94
19
79
78
20
60
71
21
68
84
22
71
74
23
61
74
24
68
54
25
76
97...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 14 minutes ago
asked 16 minutes ago
asked 17 minutes ago
asked 48 minutes ago
asked 49 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago