Question

the scatter plot shows the relationship between a car salesmans average daily sales and weekly earnings. determine the slope and y-intercept of the line of best fit for this data.
car sales and wages
weekly earnings (in $)
number of cars sold daily
the y-intercept of the line of best fit is
which means

the slope of the line of best fit is
which means

Explanation:

Step1: Identify key points

From the scatter plot, pick two points: when \(x=0\) (0 cars sold), \(y=1000\) (y-intercept). When \(x=5\), \(y≈1500\).

Step2: Calculate slope

Slope formula: \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Use \((0,1000)\) and \((5,1500)\):
\(m=\frac{1500 - 1000}{5 - 0}=\frac{500}{5}=100\).

Answer:

y-intercept: 1000
slope: 100