Question

The table shows the distance traveled at various times during a trip. Time vs. Distance Traveled During a Trip Time (minutes), x Distance traveled (miles), y 11 8 28 22 59 63 73 80 87 91 99 94 A regression calculator is used to produce a scatterplot and regression line for the data. Using the equation of the line, what is the approximate distance traveled after 44 minutes? 40 miles 43 miles 47 miles 50 miles

Answer 1

43 miles

Explanation:

Using a graphing calculator, first enter the x-values into the first list. Enter the y-values into the second list. Running the regression, we get (rounding to the nearest hundredth)

y = ax + b,

a = 1.06

b = -3.29

This gives us the equation y = 1.06x - 3.29.

Substituting 44 in place of x gives us

y = 1.06(44) - 3.29 = 43.35 ≈ 43

Answer 2

B) 43 miles, is the answer