Question

melinda works at a cafe. each day that she works, she records x, the total dollar amount of her customers’ bills and then y, her total daily wages. the table shows her data for 2 weeks. according to the line of best fit, what is the minimum amount, to the nearest dollar, melinda will earn for each day of work, even if she serves no customers? data x y x 50 36 x 100 43 x 75 38 x 80 40 x 90 42 x 140 50 x 150 60 x 95 43 x 125 46 x 160 50 x 165 55 linear regression y≈0.177x + 25.936; r≈0.92 resize window to fit data. window: -10 ≤x≤200 -6 ≤y≤66 $18 $26 $36 $40

Explanation:

Step1: Comprender la ecuación de la recta

La ecuación de la recta de mejor ajuste es $y\approx0.177x + 25.936$.

Step2: Analizar el caso de no clientes

Cuando Melinda no sirve a ningún cliente, $x = 0$.

Step3: Calcular el salario

Sustituimos $x = 0$ en la ecuación $y\approx0.177x + 25.936$. Entonces $y\approx0.177\times0+ 25.936=25.936\approx26$ (redondeado al dólar más cercano).

Answer:

$26$