Question

which data point has an actual y - value that is 4 more than the y - value predicted by the line of best fit for the corresponding x - value?
a (9,15)
b (5,14)
c (3,7)
d (1,5)

Explanation:

Step1: Analyze option A

For the point \((9,15)\), from the graph, the predicted \(y -\)value (on the line of best - fit) at \(x = 9\) is \(11\). Then \(15-11=4\).

Step2: Analyze option B

For the point \((5,14)\), from the graph, the predicted \(y -\)value (on the line of best - fit) at \(x = 5\) is \(10\). Then \(14 - 10=4\) (but we need to check all options).

Step3: Analyze option C

For the point \((3,7)\), from the graph, the predicted \(y -\)value (on the line of best - fit) at \(x = 3\) is \(7\). Then \(7-7 = 0\).

Step4: Analyze option D

For the point \((1,5)\), from the graph, the predicted \(y -\)value (on the line of best - fit) at \(x = 1\) is \(6\). Then \(5-6=-1\).

Answer:

A. \((9,15)\)