Question

(a) for these 25 dog sitters, as experience increases, the amount charged tends to select (b) for these 25 dog sitters, there is select correlation between experience and amount charged. (c) using the line of best fit, we would predict that a dog sitter with 7 years of experience would charge approximately select

Explanation:

Step1: Analyze the trend

Looking at the scatter - plot, as the years of experience (x - axis) increase, the amount charged (y - axis) also increases.

Step2: Determine the type of correlation

Since the amount charged increases as experience increases, there is a positive correlation.

Step3: Predict the value

To predict the amount charged for 7 years of experience, we look at the line of best fit. When \(x = 7\), we estimate the \(y\) - value. If we assume the line of best fit passes through \((0,8)\) and \((12,16)\) (approximate points on the line of best fit), the slope \(m=\frac{16 - 8}{12-0}=\frac{8}{12}=\frac{2}{3}\). The equation of the line is \(y=\frac{2}{3}x + 8\). When \(x = 7\), \(y=\frac{2}{3}\times7+8=\frac{14}{3}+8=\frac{14 + 24}{3}=\frac{38}{3}\approx13\) (using a visual estimate from the graph is also acceptable as the line of best fit is drawn for approximation purposes)

Answer:

(a) increase
(b) a positive
(c) \(13\) dollars per hour