Question

c. Based on your line of best fit, how many cups of coffee should she sell if there are 24customers in an hour?d. For the points you plotted, the exact equation for the line of best fit is y=0.61X + 1.37. Use thisequation to estimate how many cups of coffee she would sell in an hour if there were 50customers.e. Use the equation for the line of best fit, y = 0.61x + 1.37, to estimate how many customers shewould have to have in an hour to sell 50 cups of coffee.

Answer 1

Best-Fit Line

c. We are given a best-fit line and we're required to estimate the number of cups of coffee (y) for x=24 customers in an hour.

Taking the value of x=24, we find the value of y directly on the line. This value is found to be y=16.

Approximately 16 cups of coffee should be sold

d. The equation for the best-fit line is:

y = 0.61x + 1.37

We can use the equation to estimate the value of y when x = 50. Substituting:

y = 0.61*50 + 1.37 = 31.87

She would sell 32 cups of coffee

e. Now we need to find the value of x when y = 50. Solving for x:

x = (y - 1.37) / 0.61

Substituting:

x = (50 - 1.37) / 0.61 = 79.72

There should be approximately 80 customers per hour