Respuesta :
The correlation that exists between the temperature and the number of fruits sold is positive but is almost negligible.
What is the correlation coefficient?
The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
- 1 indicates a strong positive relationship.
- -1 indicates a strong negative relationship.
A result of zero indicates no relationship at all, therefore, independent variable.
We know that the correlation coefficient is given by the formula,
[tex]r =\dfrac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]
r = correlation coefficient
[tex]x_{i}[/tex] = values of the x-variable in a sample
[tex]\bar{x}[/tex] = mean of the values of the x-variable
[tex]y_{i}[/tex] = values of the y-variable in a sample
[tex]\bar{y}[/tex] = mean of the values of the y-variable
Calculate the value of [tex](x_i-\bar{x})(y_i-\bar{y}),\ (x_i-\bar{x})^2,{ \rm and}\ (y_i-\bar{y})^2[/tex] each separately, and then find the sum of them as shown below, therefore, the formula can be written as,
[tex]r =\dfrac{571.5}{261.5\times 1566.833333}= 0.0014[/tex]
Hence, the correlation that exists between the temperature and the number of fruits sold is positive but is almost negligible.
Learn more about Correlation Coefficients:
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