Question

which of the following best describes the relationship between x and y according to the line of best fit?
a the value of y is always equal to 12.
b as x increases, y tends to increase.
c the value of y is the same for all values of x.
d there is no relationship between x and y.
question 9 of 22

Explanation:

• Option A: The line is not horizontal at \(y = 12\), so \(y\) is not always equal to \(12\).
• Option B: As \(x\) increases (moving from left - to - right on the \(x\) - axis), the \(y\) - values (points on the line) show a general upward trend.
• Option C: The \(y\) - values change as \(x\) changes. For example, when \(x = 2\), \(y\) is less than when \(x=4\).
• Option D: There is a clear trend (a positive - trending line of best fit), so there is a relationship between \(x\) and \(y\).

Answer:

B. As \(x\) increases, \(y\) tends to increase.