Statistics: 4.3 Linear Regression

Is this a positive, negative, or no relationship?

• positive relationship

• negative relationship

• no relationship

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CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

Is this a positive, negative, or no relationship?

• positive relationship

• negative relationship

• no relationship

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CCSS.HSF-LE.A.1B

Is r = -0.87 strong, moderate, or weak?

• strong

• moderate

• weak

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CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

A positive relationship (correlation coefficient) means...

• variables have the same behavior (both up or both down)

• variables have opposite behavior (one up, one down)

• the variables are happy :)

• the variables are sad :(

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CCSS.HSF.IF.B.4

If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day.

y = -60x+6443

• $4584

• $4673

• $8303

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CCSS.HSF.LE.B.5

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.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles
• 617.5 miles
• 0.19 miles
• 500 miles

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CCSS.8.EE.C.8C

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.HSF.LE.B.5

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.8.EE.C.8C

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.B.6

CCSS.HSS.ID.C.7

CCSS.HSA.CED.A.2