NGPF 9.6 Interpreting Regression Models

Harper says, “Let’s add up the total distance we would collectively need to travel to get to each restaurant.”

What is the sum of the distances the friends will travel to Café Mezze?

Harper says, “Let’s add up the total distance we would collectively need to travel to get to each restaurant.”

What is the sum of the distances the friends will travel to Rabat Restaurant?

Harper says, “Let’s add up the total distance we would collectively need to travel to get to each restaurant.”

Why isn’t Harper’s strategy a helpful representation of the scenario?

• All 3 friends live the same distances away from each restaurant.

• Both totals are 18 miles, so there is no difference between the sums to weigh a decision.

• Jaxon has the median distance from Cafe Mezze, but Harper has the median distance from Rabat Restaurant.

• Harper is closest to Cafe Mezze and Luke is closest to Rabat Restaurant.

• Luke is farthest from Cafe Mezze and Jaxon is farthest from Rabat Restaurant.

Luke says, “Of course Harper would suggest that, they live right next to Café Mezze! Let’s square the distance each would travel, then find the sum.”

Square the distance each friend would travel to Café Mezze.

What is the sum of those squares?

___miles²

Luke says, “Of course Harper would suggest that, they live right next to Café Mezze! Let’s square the distance each would travel, then find the sum.”

Square the distance each friend would travel to Rabat Restaurant.

What is the sum of those squares?

___miles²

Luke says, “Of course Harper would suggest that, they live right next to Café Mezze! Let’s square the distance each would travel, then find the sum.”

Using Luke’s strategy, why is one of the sums much larger than the other?

• Squares are always larger than sums.

• Sums are a way to break even.

• The Distance Formula finds the most direct route.

• Squaring larger numbers gives more weight to greater values than to smaller numbers.

• The Pythagorean Theorem calculates larger numbers.

Which is the best spot for the friends to meet up?

Which option should the friends choose? Why?

• Cafe Mezze because is it closest to Harper and Jaxon.

• Rabat Restaurant because it is closest for Luke.

• Rabat Restaurant because Harper is being selfish to want to go to the restaurant that they live next to.

• Either spot would be equally fair for each of the friends.

• Rabat Restaurant because each friend would travel approximately the same distance to get there.

What is a residual?

• The vertical distance between a data point and the line of best fit

• The difference between the actual value and the predicted value

• An error when looking at data representing an entire population

• A substance that remains after a process of changing states of matter

• A place where people live

1. What is the average student grant aid for the school that admits 10% of students? Estimate based on the data point.

What does Kelly's line of best fit predict the average student grant aid will be for a school that admits 10% of students?

Estimate based on the graph or by using the equation for the line of best fit: ŷ = -0.32x + 45.50. If x = 10, calculate ŷ.