Question

a scatter plot shows the number of years of experience, x, and the amount charged per hour, y, for each of 25 dog sitters in florida. use the scatter plot to do the parts below. (note that you can use the graphing tools to help you approximate the line.) (a) write an approximate equation of the line of best fit. round the coefficients to the nearest hundredth. y = (b) using your equation from part (a), predict the amount charged per hour by a dog sitter with 14 years of experience. round your prediction to the nearest hundredth. $

Explanation:

Step1: Select two points on the line

Let's assume two points on the line of best - fit: $(x_1,y_1)=(0, 8)$ and $(x_2,y_2)=(10,18)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the values, we get $m=\frac{18 - 8}{10-0}=\frac{10}{10}=1$.

Step3: Find the y - intercept $b$

The equation of a line is $y=mx + b$. Using the point $(0,8)$ and $m = 1$, when $x = 0$, $y=b$. So $b = 8$.
The equation of the line of best - fit is $y=x + 8$.

Step4: Predict the value for $x = 14$

Substitute $x = 14$ into the equation $y=x + 8$. Then $y=14 + 8=22$.

Answer:

(a) $y=x + 8$
(b) $22.00$