Question

The data for the distance d, in miles, remaining for a train to travel to its destination t hours after it departs a station are

Answer 1

Using the slope - intercept format, the equation which models the data represented by the graph is d(t) = -50t + 300

According to the general form of a linear regression equation :

• y = bx + c
• b = slope ; c = intercept

Slope, b = (Δy ÷ Δx)

Slope = (200 - 50) ÷ (2 - 5)

Slope = 150 ÷ -3 = -50

Intercept is the point where the regression line crosses the y - axis.

From the graph, the intercept = 300

Hence, the regression equation is y = -50t + 300

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