Question
In: Statistics and Probability
Index 1 2 3 4 5 6 7 Temperature (F) 72 71 78 75 81 77...
|
Index |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
|
Temperature (F) |
72 |
71 |
78 |
75 |
81 |
77 |
68 |
|
Pair of Gloves |
37 |
37 |
32 |
36 |
33 |
35 |
39 |
Taking temperature as an independent variable and pairs of gloves produced as a dependent variable, compute the least square’s regression line.
Solutions
Expert Solution
To calculate the least square regression line we need to find the following table calculation for the given sample as:
The mean of both dependent and independent sample is calculated as:
Also, the following sum of squares is calculated as:
Thus the Slope n and intercept m of the regression line is calculated as:
based on the slope and the intercept the regression equation is computed as:
orchestra answered 2 years agoRelated Solutions
Index Temperature (F) Pair of Gloves 1 72 37 2 71 37 3 78 32 4...
Index
Temperature (F)
Pair of Gloves
1
72
37
2
71
37
3
78
32
4
75
36
5
81
33
6
77
35
7
68
39
Calculate r and r2 and
explain what they mean. r & r2 refer to differences in
fluctuation between two variables.
6. Let A = {1, 2, 3, 4} and B = {5, 6, 7}. Let f...
6. Let A = {1, 2, 3, 4} and B = {5, 6, 7}. Let f = {(1, 5),(2,
5),(3, 6),(x, y)} where x ∈ A and y ∈ B are to be determined by
you. (a) In how many ways can you pick x ∈ A and y ∈ B such that f
is not a function? (b) In how many ways can you pick x ∈ A and y ∈
B such that f : A → B...
Sample Size No. Defective 1 80 4 2 72 2 3 68 3 4 81 3...
Sample
Size
No. Defective
1
80
4
2
72
2
3
68
3
4
81
3
5
75
4
6
70
4
7
82
5
8
64
1
9
73
1
10
78
5
11
70
3
12
74
4
13
83
1
14
76
12
15
66
4
16
70
7
17
71
4
18
82
7
19
73
4
20
67
6
21
80
2
22
79
7
23
81
2
24
81
4
25
78
4
26...
82, 72, 83, 75, 80, 78, 82, 73, 60, 79, 80, 78, 83, 81 what is...
82, 72, 83, 75, 80, 78, 82, 73, 60, 79, 80, 78, 83, 81
what is the Q1, median, Q3 and the IQR with any outliers
93 95 93 81 88 88 84 75 89 81 92 91 83 78 88 77...
93
95
93
81
88
88
84
75
89
81
92
91
83
78
88
77
95
94
90
94
80
84
95
87
92
92
94
84
83
89
84
87
78
99
97
79
93
83
76
92
96
77
52
89
95
76
87
92
80
70
94
90
93
83
88
89
95
87
88
96
92
87
96
93
96
81
93
76
78
96
96
84
89
91
92
87
91
90
86
88...
ID X Y 1 2 3 2 3 6 3 4 6 4 5 7 5...
ID
X
Y
1
2
3
2
3
6
3
4
6
4
5
7
5
8
7
6
5
7
7
6
7
8
8
8
9
7
8
10
12
11
Test the significance of the correlation coefficient.
Then use math test scores (X) to predict physics test scores
(Y). Do the following:
Create a scatterplot of X and Y.
Write the regression equation and interpret the regression
coefficients (i.e., intercept and slope).
Predict the physics score for each....
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4 6 5 4 5 3 7 5 5 4 2 6 5 6
6]
This is my dataset
Find mean, median, mode, variance, standard deviation,
coefficient of variation, range, 70th percentile,
3rdquartile of the data and skewness and define what
each of these statistics measure. For example, mean is a measure of
the central tendency, what about the rest?
Use Chebyshev’s rule to find...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4...
[4 5 5 2 4 4 6 3 3 7 5 3 6 3 4 4 6 5 4 5 3 7 5 5 4 2 6 5 6
6]
This is my dataset
Split the dataset in two equal parts. You have 30 datavalues.
If you split the data in two equal parts each part will contain 15
data values. Call the first part Y and second part
X.Draw scatter plot of the 2 datasets, X being on the horizontal...
2. Consider functions f : {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4,...
2. Consider functions f : {1, 2, 3, 4, 5, 6} → {1, 2, 3, 4, 5,
6, 7, 8, 9, 10}.
(a) How many of these functions are strictly increasing (i.e.
f(1) < f(2) < f(3) < f(4) < f(5) < f(6))? Hint: How
many different possibilities are there for the range of f? For each
range of f, how many strictly increasing functions are there?
(b) How many of these functions are non-decreasing (i.e. f(1) ≤
f(2) ≤...
Matrix A2= [1 2 3; 4 5 6; 7 8 9; 3 2 4; 6 5...
Matrix A2= [1 2 3; 4 5 6; 7 8 9; 3 2 4; 6 5 4; 9 8 7]
Note: TA2 is defined to be a linear transformation that maps
any vector x to A2* x. That is TA2 = A2*x. Also the range of the
Linear transformation represented by A2 is the same as the column
space of A2.
l) Find a basis for the null(TA2).
m) Find nullity of A2, TA2 and A2tA2.
n) Find rank(A2), rank(A2t),...
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