Linear Regression Practice

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.HSF.BF.A.1

CCSS.HSS.ID.C.7

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

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

Find the equation of the line of best fit for the given data

• y = 4.19 + 163.41x
• y = 4.19 - 163.41x
• y =163.41 - 4.19x
• y = -163.41+ 4.19x
  

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CCSS.HSA.CED.A.2

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

CCSS.HSS.ID.C.8

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 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

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

Tags

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. How much would a hamburger with 4 toppings cost?

• $7.60

• $5.60

• $7.50

• $4

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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 linear regression equation for the data is y = 1.5x + 12. Interpret the slope of the equation.

• It means that a pizza with 0 toppings will cost $1.50.

• It means that the price of the pizza increases by $1.50 for each additional topping.

• It means that a pizza with 0 toppings will cost $12.00.

• It means that the cost of the pizza increases by $12.00 for each additional topping.

Tags

CCSS.HSS.ID.C.7