Question

What is the equation of the line of best fit for this data? Using your line of best fit, what is the Predicted value of y when x=30? Using your line of best fit, what is the predicted value of x when y=200?

A) y = 2x + 10, Predicted value of y when x=30: 70, Predicted value of x when y=200: 95
B) y = 3x + 5, Predicted value of y when x=30: 95, Predicted value of x when y=200: 60
C) y = 2.5x + 8, Predicted value of y when x=30: 80, Predicted value of x when y=200: 75
D) y = 4x - 3, Predicted value of y when x=30: 117, Predicted value of x when y=200: 55

Answer 1

The equation of the line of best fit is y = 2.5x + 8. The predicted value of y when x = 30 is 75. The predicted value of x when y = 200 is 76.

Step-by-step explanation:

The equation of the line of best fit for this data is y = 2.5x + 8.

Using this equation, we can find the predicted value of y when x = 30 by substituting x = 30 into the equation: y = 2.5(30) + 8 = 75.

Similarly, we can find the predicted value of x when y = 200 by substituting y = 200 into the equation: 200 = 2.5x + 8.

Solving for x, we get x = (200 - 8) / 2.5 = 76.