Scatterplots Answers

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Explain your reasoning.

Answer:

No, it is not reasonable to use the line of best fit to make predictions. The correlation coefficient r = 0.15 is close to 0, which indicates a very weak linear relationship between the variables. Therefore, the line does not fit the data well enough to provide reliable predictions.

8

The fuel efficiency of one type of car is recorded in a scatterplot where the amount of gas used, x (in gallons), is paired with the distance traveled, y (in miles), for various trips. The equation for the line of best fit for the data is y = 28x. How can the y-intercept and slope of this line be interpreted?

A
The y-intercept is 28, which represents the miles that can be traveled with 1 gallon of gas. The slope is 0, which represents the amount of gas used when 0 miles are traveled.
B
The y-intercept is 28, which represents the amount of gas used when 0 miles are traveled. The slope is 0, which represents the miles that can be traveled with 1 gallon of gas.
C
The y-intercept is 0, which represents the number of miles that can be traveled with 1 gallon of gas. The slope is 28, which represents the amount of gas used when 0 miles are traveled.
D
The y-intercept is 0, which represents the amount of gas used when 0 miles are traveled. The slope is 28, which represents the miles that can be traveled with 1 gallon of gas.
9

Which of the following did you include in your answer?

A
It is not reasonable to use the line of best fit to make predictions.
B
The correlation coefficient for the data is close to zero.
C
The correlation coefficient measures how well a line fits a set of data.
D
The correlation coefficient suggests that the relationship between the two variables is weak.

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Scatterplots Answers — Algebra 2 - Semester 1…