Answer:
B. A linear function with a positive slope.
Explanation:
A correlation can be defined as a numerical measure of the relationship existing between two variables (x and y).
In Mathematics and Statistics, a group of data can either be negatively correlated, positively correlated or not correlated at all.
1. For a negative correlation: a set of values in a data increases, when the other set begins to decrease. Here, the correlation coefficient is less than zero (0).
2. For a positive correlation: a set of values in a data increases, when the other set also increases. Here, the correlation coefficient is greater than zero (0).
3. For no or zero correlation: a set of values in a data has no effect on the other set. Here, the correlation coefficient is equal to zero (0).
A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and it has a positive slope which is always constant.
From the graph, we can deduce that the scatter points lie close to a straight line with a slope that is positive.
Hence, the type of function which best models the relationship between the sales of sweaters and gloves is a linear function.
Mathematically, slope is given by the formula;
