Question

9 when analyzing the results of her experiment, pearl provided the following information, the variables are related by the equation m = 3.20t - 0.15 which of the following qualitative relationships is accurate? non - linear correlation positive correlation negative correlation no correlation

Explanation:

The equation \(m = 3.20t-0.15\) is in the form of a linear equation \(y = mx + b\) (where \(m = 3.20\) is the slope). A positive slope (\(3.20>0\)) indicates that as \(t\) (independent variable) increases, \(m\) (dependent variable) also increases. In correlation terms, when an increase in one variable is associated with an increase in another variable, it is a positive correlation. A non - linear correlation would have a non - linear equation (e.g., quadratic \(y=ax^{2}+bx + c,a
eq0\)). A negative correlation would have a negative slope (\(m<0\)) and no correlation would mean no relationship (not in the form \(y = mx + b\)).

Answer:

positive correlation