1.8 Lines and Correlations

The graph shows the weights of dogs and the time it took the same dogs to complete an agility course in seconds.

Which shows the line of best fit for the data?

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The scatter plot below shows the average yearly consumption of bottled water by people in the United States starting in 1990.

Using the line of best fit, predict the average consumption of bottled water in the year 2000?

• 20 gallons

• 18 gallons

• 22 gallons

• 19 gallons

Which graph represents a positive correlation?

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Which relationship is shown by the above scatterplot?

• As the cost goes down, the number sold goes down

• As the cost goes up, the number sold goes down

• As the cost goes down, the number sold remains the same

• There is no relationship between cost and the number sold

Above is the number of clothes donated to New York City homeless shelters in the given years.

Determine the equation for the line of best fit using the given two points on the line of best fit, where x is the number years since 1992 and y is the number of clothes donated in thousands.

• y = -0.375x + 48.5

• y = 0.375x + 48.5

• y = -0.375x - 48.5

• y = 0.375x - 48.5

A keyboarding instructor at a community college collected data comparing a student’s age and their typing speed. The equation for the line of best fit is given as y = -1.4x + 117.8, where x is the “age in years” and y is the “typing speed.

If you are 25 years of age, what is your typing speed?

• 153 words per minute

• 83 words per minute

• 63 words per minute

• 102 words per minute

Determine the equation for the line of best fit

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OFF

What is the correlation of the graph?

• Positive

• Negative

• None

• Quadratic

Which scatter plot most accurately represents the data in the table provided?

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Use you calculator to create a line of best fit for the attached data set

Evaluate responses using AI:

OFF