Question

solving and writing about equations of trend lines
the scatterplot and trend line show a positive
correlation between advertising costs and sales.
which two points can be used to find the slope of the
trend line?
point 1:
point 2:
(5.7, 102)
(6, 116)
(6.2, 112)
(6.4, 117)

Explanation:

Step1: Recall the concept of slope calculation

The slope of a line is calculated using the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\). To find the slope of the trend line, we need two points that lie on the trend line (not just the scatter - plot points).

Step2: Analyze the given points

• For the point \((5.7,102)\): If we assume it lies on the trend line (by visual inspection of the scatter - plot and trend - line relation).
• For the point \((6.4,117)\): By visual inspection of the scatter - plot and trend - line relation, we can assume it lies on the trend line.

Answer:

Point 1: \((5.7,102)\), Point 2: \((6.4,117)\)