Question

scatter plots and predictions
in 1 - 3, sketch a trend line on the scatter plot. then, use the trend line to make your predictions.
1.

a. when ( x = 5, y=)____
b. when ( y = 16, x=)____
2.

a. when ( x = 6, y=)____
b. when ( y = 700, x=)____
3.

a. when ( x = 9, y=)____
b. when ( y = 25, x=)____
apply the use of trend lines to help you answer each of the following questions.
the scatter plot shown compares the number of items in several suitcases on an airplane with the weight of the suitcase. use the data to answer 4 - 5.

1. kylie has 20 items in her suitcase. which is the most reasonable prediction of the weight of her suitcase?

a. 17 lbs b. 36 lbs c. 20 lbs d. 26 lbs

1. beaus suitcase weighs 40 pounds. which is not a reasonable prediction for the number of items he packed?

a. 39 b. 45 c. 31 d. 42
jared is looking to purchase a used laptop. the scatter plot shows the age of several laptops and their price. use the data to answer 6 - 7.

1. what is a reasonable price jared could expect to pay for a laptop that is 4 years old?
2. jared finds a listing for a used laptop and the seller is asking $200. what is a reasonable prediction for how old the laptop is?

Explanation:

Step1: Analyze question 4

We look at the scatter - plot comparing the number of items and the weight of suitcases. We find the value on the y - axis (weight) corresponding to \(x = 20\) (number of items).

Step2: Analyze question 5

We look at the scatter - plot and find the \(x\) - values (number of items) corresponding to \(y=40\) (weight).

Step3: Analyze question 6

We look at the scatter - plot of laptop age and price. We find the \(y\) - value (price) corresponding to \(x = 4\) (age of laptop).

Step4: Analyze question 7

We look at the scatter - plot and find the \(x\) - value (age of laptop) corresponding to \(y = 200\) (price).

Answer:

1. d. 26 lbs
2. b. 45
3. A reasonable price (by looking at the scatter - plot trend) is around \(\$400\)
4. A reasonable age (by looking at the scatter - plot trend) is around \(8\) years.