Linear Regressions Test Review

Shown is a residual plot. Would a linear regression model of the data be most appropriate?

• YES
• NO

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CCSS.HSS.ID.B.6

Describe the correlation in the graph shown.

• Strong Negative
• Strong Positive
• Weak Negative
• Weak Positive

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CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Estimate the correlation coefficient for this scatterplot.

• r = 0.56

• r = -0.56

• r = 0.92

• r = -0.92

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CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

The correlation coefficient measures...

• whether there is a relationship between two variables.
• the strength of the relationship between two quantitative variables.
• whether a cause and effect relation exists between two variables.
• the strength of the linear relationship between two quantitative variables.

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CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

Which of the following statements are supported by the scatterplot?
I.   There is a positive association between height and volume.
II.  There is an outlier in the plot. 
III.  As the height of a cherry tree increases, the volume of useable lumber it yields increases.

• I only
• II only
• I and II only
• I, II, and III

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CCSS.HSS.ID.B.6

CCSS.HSS.ID.A.3

A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.

• y = 61.93x - 1.79
• y = -1.79x + 61.93
• y = 0.016x + 0.03
• y = 0.03x + 0.016

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CCSS.HSS.ID.C.7

CCSS.HSS.ID.C.8

CCSS.HSA.CED.A.2

Data was collected on the weight of a male laboratory rat for the first 25 weeks after its birth. The linear regression equation is y= 40x+100, where x is number of weeks and y is weight in grams. What does the y-intercept mean in context of the problem?

• The predicted weight of the rat in year 0.

• The predicted weight of the rat at birth.

• The current weight of the rat.

• The average increase in the rat's weight.

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CCSS.HSS.ID.C.7

The linear regression equation is y = 61.93x - 1.79. According to the model, the slope can be interpreted as:

• After 0 hours of driving, they went 61.93 miles.

• They drove at a speed of 61.93 miles per hour.

• They drove 61.93 miles total.

• They drove 61.93 hours total.

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CCSS.HSS.ID.C.7

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

• y = 1.5x + 12

• y = 12x + 1.5

• y = 0.67x - 8

• y = -8x + 0.67

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CCSS.HSS.ID.C.7

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters
• 15 chapters
• 18 chapters
• 21 chapters

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CCSS.HSS.ID.C.7

CCSS.HSS.ID.B.6

CCSS.HSA.CED.A.2