IM 8.6.6 Lesson: The Slope of a Fitted Line

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GeoGebra Classroom Activities, IM 6 – 8 Math

Estimate the slope of the line.

Decide if there is an association between the two variables, and describe the situation using one of the sentences below.

  • For these data, as ________________ increases, ________________ tends to increase.
  • For these data, as ________________ increases, ________________ tends to decrease.
  • For these data, ________________ and ________________ do not appear to be related.

Decide if there is an association between the two variables, and describe the situation using one of the sentences below.

  • For these data, as ________________ increases, ________________ tends to increase.
  • For these data, as ________________ increases, ________________ tends to decrease.
  • For these data, ________________ and ________________ do not appear to be related.

Decide if there is an association between the two variables, and describe the situation using one of the sentences below.

  • For these data, as ________________ increases, ________________ tends to increase.
  • For these data, as ________________ increases, ________________ tends to decrease.
  • For these data, ________________ and ________________ do not appear to be related.

For each of the situations, a linear model for some data is shown.

What is the slope of the line in the scatter plot?

What is the meaning of the slope?

What is the slope of the line in the scatter plot?

What is the meaning of the slope?

What is the slope of the line in the scatter plot?

What is the meaning of the slope?

The scatter plot shows the weight and fuel efficiency data used in an earlier lesson along with a linear model represented by this equation:

. What is the value of the slope and what does it mean in this context?

What does the other number in the equation represent on the graph?

What does it mean in context?

Use the equation to predict the fuel efficiency of a car that weighs 100 kilograms.

Use the equation to predict the weight of a car that has a fuel efficiency of 22 mpg.

Which of these two predictions probably fits reality better? Explain.

Decide whether it makes sense to fit a linear model to the data.

If it does, would the graph of the model have a positive slope, a negative slope, or a slope of zero?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Decide whether it makes sense to fit a linear model to the data.

If it does, would the graph of the model have a positive slope, a negative slope, or a slope of zero?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Decide whether it makes sense to fit a linear model to the data.

If it does, would the graph of the model have a positive slope, a negative slope, or a slope of zero?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Decide whether it makes sense to fit a linear model to the data.

If it does, would the graph of the model have a positive slope, a negative slope, or a slope of zero?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Decide whether it makes sense to fit a linear model to the data.

If it does, would the graph of the model have a positive slope, a negative slope, or a slope of zero?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Which of these scatter plots show evidence of a positive association between the variables?

Of a negative association? 

Which do not appear to show an association?

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