Quiz Warm Up - Linear Regression

Which graph most clearly shows a positive correlation between the x- and y−values?

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Which graph most clearly shows a no correlation between the x- and y−values?

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Tags

CCSS.8.EE.B.5

What does a correlation coefficient of r=0.99

imply about the graph of a data set?

• A linear model is not a good fit for the data.

• A linear model is a good fit for the data.

Which correlation coefficient is most accurate for this data set?

• r = 0.03

• r = 0.92

• r = -0.92

• r = -0.03

What should be true in order for a scatter plot to show that a linear fit may be appropriate for a data set?

• The points should form an upward curve.

• The points should be scattered randomly

• The points should appear to lie generally along a line.

• The points should form one line above the x-axis and another below it.

Determine the correlation coefficient for the data set. Use desmos table and the formula
   $y_1\sim mx_1+b$  

• r=.99

• r=.98

• r=20.7

• r=-35

Tags

CCSS.HSS.ID.C.8

The linear regression equation that best represents the line of best fit for the data is y=20.8x-35. Interpret the slope.

• The number of bacteria increase by 20.8 per hour

• The number of bacteria increase by 20.8 per minute

• The number of bacteria decrease by 35 per hour

• The number of bacteria decrease by 35 per minute

Tags

CCSS.HSF.LE.B.5

The linear regression equation that best represents the line of best fit for the data is y=20.8x-35. Use the equation to predict the number of bacteria in 18 hours. Round answer to the nearest whole number.

• 374

• 339

• 409

• 464