Question

In: Statistics and Probability

Draw the feature space plot (scatter plot) for the Green-Red, NIR-Green and NIR-Red band combinations. Based...

  1. Draw the feature space plot (scatter plot) for the Green-Red, NIR-Green and NIR-Red band combinations. Based on these plots, which two bands are the most correlated?

    105

    97

    85

    82

    82

    81

    108

    104

    93

    82

    81

    81

    106

    109

    102

    88

    81

    81

    106

    108

    103

    89

    84

    81

    105

    106

    104

    95

    89

    83

    104

    102

    98

    94

    90

    86

    Green

    128

    115

    95

    89

    89

    90

    129

    124

    109

    94

    89

    89

    128

    133

    125

    102

    93

    89

    129

    134

    124

    101

    95

    90

    130

    128

    126

    112

    104

    92

    128

    125

    118

    108

    104

    96

    Red

    102

    97

    91

    91

    91

    92

    104

    101

    96

    92

    90

    90

    103

    106

    100

    92

    90

    89

    102

    106

    101

    93

    92

    89

    102

    103

    102

    97

    95

    90

    101

    99

    98

    99

    98

    94

    NIR

Solutions

Expert Solution

By seeing all possible scatter plots between Green, Red, and NIR, The two bands which are most correlated are

(Red- Green) and (Green - NIR) and we can crosscheck our answer by calculating the correlation coefficient between them.

cor(Green, Red) = 0.9952777 and cor(NIR, Green) = 0.9750441


Green
[1] 105 97 85 82 82 81 108 104 93 82 81 81
[13] 106 109 102 88 81 81 106 108 103 89 84 81
[25] 105 106 104 95 89 83 104 102 98 94 90 86
> Red
[1] 128 115 95 89 89 90 129 124 109 94 89 89
[13] 128 133 125 102 93 89 129 134 124 101 95 90
[25] 130 128 126 112 104 92 128 125 118 108 104 96
> NIR
[1] 102 97 91 91 91 92 104 101 96 92 90 90
[13] 103 106 100 92 90 89 102 106 101 93 92 89
[25] 102 103 102 97 95 90 101 99 98 99 98 94
> plot(Green,Red)
> plot(NIR,Green)
> plot(NIR,Red)
> plot(Green,Red)
> cor(Green,Red)
[1] 0.9952777
> cor(NIR,Green)
[1] 0.9750441
> cor(NIR,Red)
[1] 0.9681377


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