Informally Fitting a Line to Bivariate Data

The scatter plot shows the relationship between the temperature in degrees Celsius and specific humidity in grams per kilograms (g/kg). The data is shown, fit with three different lines. Which graph has the most points above the line?

• Line of Fit A

• Line of Fit B

• Line of Fit C

Tags

CCSS.8.EE.B.5

The scatter plot shows the relationship between the temperature in degrees Celsius and specific humidity in grams per kilograms (g/kg). The data is shown, fit with three different lines. Which graph has the most points below the line?

• Line of Fit A

• Line of Fit B

• Line of Fit C

The scatter plot shows the relationship between the temperature in degrees Celsius and specific humidity in grams per kilograms (g/kg). The data is shown, fit with three different lines. Which graph has an equal number of points above and below the line?

• Line of Fit A

• Line of Fit B

• Line of Fit C

Explain which graph has the most accurate line of fit. Equal parts above and below the line

Remember the answer for the next question

• Line of Fit A

• Line of Fit B

• Line of Fit C

• Line of Fit D

The point (−10,2) is on the line. Interpret this point in context. When the temperature was −10°C, the humidity was 2 g/kg. *Use the accurate graph from the previous question*

• The temperature was −10°C and the humidity was 2 g/kg.

• The temperature was 2°C and the humidity was −10 g/kg.

• The temperature was −10°C and the humidity was −2 g/kg.

• The temperature was 10°C and the humidity was 2 g/kg.

The set of data shows the relationship between altitude in kilometers (km) and the temperature in degrees Celsius.

Describe the patterns of association

• The relationship is linear and can be represented by a straight line.

• The relationship is non-linear and cannot be represented by a straight line.

• The relationship is exponential and can be represented by a curve.

• The relationship is quadratic and can be represented by a parabola.

Describe the patterns of association. Strong negative linear association between altitude and temperature.

• Strong positive linear association between altitude and temperature.

• Strong negative linear association between altitude and temperature.

• No association between altitude and temperature.

• Weak negative linear association between altitude and temperature.

The set of data shows the relationship between a person’s annual income in thousands of dollars and their life expectancy.

Describe the patterns of association

• A line with a positive slope

• A line with a negative slope

• A horizontal line

• A vertical line

Which of the following best describes the patterns of association?

• Positive linear association between income and life expectancy

• Negative linear association between income and life expectancy

• No association between income and life expectancy

• Curvilinear association between income and life expectancy

Explain what any outliers represent on this graph. Answers may vary. People who appear to live longer regardless of income.

• Outliers represent people who live longer regardless of income.

• Outliers represent people who live shorter regardless of income.

• Outliers represent people with average lifespan and income.

• Outliers represent people with high income and short lifespan.