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? $18 $26 $36 $40 data y 60 y 50 50 43 40 38 40 30 42 50 60 20 140 150 10 95 43 125 46 160 50 165 55 x 40 80 120 160 linear regression y≈0.177x + 25.936; r≈0.92 resize window -10 ≤x≤200 window: -6 ≤y≤66 to fit data

Explanation:

Step1: Identify the linear - regression equation

The linear - regression equation is $y = 0.177x+25.936$, where $y$ is the total daily wages and $x$ is the total dollar amount of customers' bills.

Step2: Determine the value of $y$ when $x = 0$

When Melinda serves no customers, $x = 0$. Substitute $x = 0$ into the equation $y=0.177x + 25.936$.
$y=0.177\times0 + 25.936$.
Since $0.177\times0=0$, then $y = 25.936$.

Step3: Round the result

Rounding $25.936$ to the nearest dollar gives $y\approx26$.

Answer:

$26$