Question

structure refer to the scatter plot.
a. describe the trend in the data shown in the scatter plot and the relationship between x and y.
the points have select choice correlation. this means that as x increases, y select choice
part b
b. describe a real - life situation that could be modeled by the given scatter plot. explain your reasoning.
the number of miles a car has driven and the number of gallons of gasoline in the tank: this would also be a select choice correlation because as a car is driven, the amount of gasoline remaining in the tank select choice

Explanation:

Part A

Step1: Analyze scatter plot trend

The scatter plot shows points that form a downward - sloping pattern. In terms of correlation, when the points show a negative linear trend (as one variable increases, the other decreases), it is a negative correlation.
So the first "Select Choice" should be "negative" because the points have a negative correlation. And as \(x\) increases, \(y\) "decreases" (since it's a negative correlation, the two variables move in opposite directions).

Part B

The situation of the number of miles a car has driven (\(x\)) and the number of gallons of gasoline in the tank (\(y\)) is a real - life example of negative correlation. As the number of miles driven (\(x\)) increases, the amount of gasoline in the tank (\(y\)) decreases. So the "Select Choice" for the correlation type here is also "negative" and the description for the change of \(y\) (gasoline) as \(x\) (miles driven) increases is "decreases".

Answer:

s:

Part A

The points have \(\boldsymbol{\text{negative}}\) correlation. This means that as \(x\) increases, \(y\) \(\boldsymbol{\text{decreases}}\).

Part B

The number of miles a car has driven and the number of gallons of gasoline in the tank; this would also be a \(\boldsymbol{\text{negative}}\) correlation because as a car is driven, the amount of gasoline remaining in the tank \(\boldsymbol{\text{decreases}}\).