Least-Squares Line and Interpolation/Extrapolation

Give the equation of the least-squares line based on how long someone drinks Bug Juice and how much Bug Juice is consumed.

• y = 6.07x + 11.40

• y = 6.31x + 10.69

• y = 7.40x + 7.85

• y = 7.40x + 7.75

Give the equation of the least-squares line based on how long previews are shown and how many previews are shown.

• y = -1.52x + 6.91

• y = -1.46x + 6.74

• y = -1.28x + 6.05

• y = -1.26x + 5.90

Give the equation of the least-squares line based on how many miles someone runs and how many push-ups the person does.

• y = 7.62x + .72

• y = 7.62x + .70

• y = 7.61x + .68

• y = 7.36x + 1.02

Give the equation of the least-squares line based on how many people are waiting in line for a ride and the level of rider satisfaction on a scale of 0-100.

• y = -.17x + 91.35

• y = -.18x + 92.45

• y = -.18x + 93.02

• y = -.19x + 93.11

Based on the Bug Juice model (y = 6.07x + 11.40), how many ounces of bug juice should you be able to drink in 4 minutes? Also, would evaluating the function at 4 minutes be considered interpolation or extrapolation?

• 35.68 ounces, interpolation

• 35.68 ounces, extrapolation

• -1.22 ounces, interpolation

• -1.22 ounces, extrapolation

Based on the Bug Juice model (y = 6.07x + 11.40), how many ounces of bug juice should you be able to drink in 3 minutes? Also, would evaluating the function at 3 minutes be considered interpolation or extrapolation?

• 29.61 ounces, interpolation

• 29.61 ounces, extrapolation

• -1.38 ounces, interpolation

• -1.38 ounces, extrapolation

Based on the Bug Juice model (y = 6.07x + 11.40), how many minutes should it take someone to drink 35 ounces? Also, would evaluating the function at 35 ounces be considered interpolation or extrapolation?

• 223.85 minutes, interpolation

• 223.85 minutes, extrapolation

• 3.89 minutes, interpolation

• 3.89 minutes, extrapolation

Based on the Bug Juice model (y = 6.07x + 11.40), how many minutes should it take someone to drink 23 ounces? Also, would evaluating the function at 23 ounces be considered interpolation or extrapolation?

• 151.01 minutes, interpolation

• 151.01 minutes, extrapolation

• 1.91 minutes, interpolation

• 1.91 minutes, extrapolation

Based on the running and push-ups model (y = 7.62x + .72), how many push-ups should someone be able to do if that person runs 3.75 miles? Also, would evaluating the function at 3.75 miles be considered interpolation or extrapolation?

• 29.29 push-ups, interpolation

• 29.29 push-ups, extrapolation

• .40 push-ups, interpolation

• .40 push-ups, extrapolation

Based on the running and push-ups model (y = 7.62x + .72), how many push-ups should someone be able to do if that person runs 2 miles? Also, would evaluating the function at 2 miles be considered interpolation or extrapolation?

• 15.96 push-ups, interpolation

• 15.96 push-ups, extrapolation

• .17 push-ups, interpolation

• .17 push-ups, extrapolation