Linear Regressions

what is the formula for linear regression?

• y=mx+b

• a^2+b^2=c^2

• y1~mx1+b

• (1/2)(b)(h)

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CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

What letter do we use to represent correlation coefficient?

• c
• r
• p
• h

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CCSS.HSS.ID.C.8

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

• The more books students read, the lower their English grade.

• The more books students read, the higher their English grade.

• The fewer books students read, the higher their English grade.

• No relationship exists between the number of books students read and their English grades.

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CCSS.HSF.IF.B.4

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

Data is analyzed comparing hours studied and grades. It is determined that the correlation coefficient is 0.92. What does this mean?

• There is a strong positive correlation between studying and grades.

• There is a strong negative correlation between studying and grades.

• There is a weak positive correlation between studying and grades.

• There is a weak negative correlation between studying and grades.

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CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

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

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

Above is a table that represents the distance in miles vs. the cost of a plane ticket. What does the slope mean in the regression equation  $y=0.136x+74$  

• A plane ride costs $0.136 (13 cents)

• For every 1 mile flown, the cost goes up  $ 0.136 dollars (13 cents)

• For every 1 mile flown, the cost goes up $74

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CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

The equation  $y\sim1.40t\ +1.90$   represents the cost of a hamburger with t  toppings. What does the slope mean in this context?

• Every hamburger costs $1.40

• Every hamburger costs $1.90

• Every hamburger costs $2.90

• Every topping adds $1.40 to the cost of the hamburger

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CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

The equation  $y\sim1.40t\ +1.90$   represents the cost of a hamburger with t  toppings. What does the y-intercept mean in this context?

• A hamburger with 0 toppings costs $1.90

• Every hamburger costs $1.90

• A hamburger with 1.40 toppings costs $1.90

• Every topping adds $1.40 to the cost of the hamburger

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CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7