Kara wants to sell her vehicle and does not know what the listing price should be. She checks on a popular used-car site and finds 16 cars of the same make and model listed. Kara uses the data to construct two different scatter plots: one that relates the vehicle’s age, in years, to the sale price and one that relates the number of miles on each vehicle to its sale price.

Two different scatter plots with lines of best fit that were generated using technology are shown. Scatter plot A relates the mileage of each vehicle to the sale price. Scatter plot B relates the age of each vehicle to the sale price.

(1 point)
Part A: Write the equation for each line of best fit using the values generated using technology.

Line of Best Fit for Scatter Plot A Line of Best Fit for Scatter Plot B
y =
y =
Part B: The sale price of the model of car that Kara owns
by
each year as it ages.

Part C: Describe the strength and direction of the linear association between mileage and sale price of a used vehicle of this type.

There is a
,
,
association between these variables

1 answer

To provide a complete answer, I would need the specific values for the lines of best fit for Scatter Plot A and Scatter Plot B, as well as details about the associations observed in the scatter plots. However, I can guide you through the typical process and types of answers you might provide with hypothetical data.

Part A: Write the equation for each line of best fit

  • Line of Best Fit for Scatter Plot A (Mileage vs. Sale Price): Suppose the equation is given by \( y = -0.10x + 15,000 \). (This means that for each additional mile, the price decreases by $0.10, starting from an intercept of $15,000.)

  • Line of Best Fit for Scatter Plot B (Age vs. Sale Price): Suppose the equation is given by \( y = -2,000x + 20,000 \). (This indicates that the price decreases by $2,000 for each additional year of age, starting from an intercept of $20,000.)

Part B: The sale price of the model of car that Kara owns

  • If we assume that the sale price decreases by a certain amount each year, based on the equation from Part A or Part B, it might look something like this:

    "The sale price of the model of car that Kara owns decreases by $2,000 each year as it ages."

Part C: Describe the strength and direction of the linear association between mileage and sale price of a used vehicle of this type.

  • You might conclude:

"There is a strong negative association between mileage and sale price of a used vehicle of this type."

In this case, a negative association means that as mileage increases, the sale price tends to decrease, and strength indicates how closely the data points fit the trend of the line of best fit (a strong negative association suggests the points are closely clustered around the line).

These answers would depend on the actual data you have from the scatter plots. If you can provide the equations or any data points, I could adjust the responses accordingly!