Question

Frequent food questionnaires (FFQ) are a simple way to obtain information on the foods individuals consume by asking them questions about typical amounts of food consumed in a day or week or month. A more accurate picture is obtained by obtaining a detailed food diary (DR) for several days, randomly chosen over a certain time period. The data obtained from a frequent food questionnaire can be compared with the food diary to assess the validity of the questionnaire. The data below are for seven individuals who participated in such a study on alcohol consumption.
DR8.26 FFQ1.68
0.83 0
20.13 15.1
11.16 7.49
7.18 12.84
1.76 0
22.66 25.06
A. 0.89
B. -0.89
C. None of the answers are correct
D. 0

Answer 1

Answer:

Asnwer is A

Step-by-step explanation:

since the correlation between the FFQ and DR is 0.89

      x                            y               xy                    $x^{2}$                            $y^{2}$

    8.26                      1.68          13.8768          68. 2276          2.8224

     0.83                      0               0                    06889                  0

     20.13                   15.1           303.963          405.2169          228.01

      11.16                   7.49          83.5884          124.5456           56.1001

      7.18                    12.84         92.1912            51.5524            164.8656

       1.76                       0                0                   3.0976                 0

     22.46                  25.06        567.8596        513.4756           628.0036

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       ∑$x_{i}$ =                 ∑$y_{i}$ =              ∑$x_{i} y_{i}$=               ∑$x_{i}^{2} y_{i}^{2}$=             ∑$y_{i} ^{2}$=      

      71.98                   62.17         1061.479            1166.8046      1079.8017  

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Correlation Coefficient or Pearson Correlation is given by:  

the rest calculation is in the attached image