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Statistics Interpreting Slope and Y Intercept

Total questions: 10

Worksheet time: 10mins

Name
Class
Date
1.

A linear model is used to show the negative relationship between the age (in years) of a certain car and its value. The slope is estimated to be -425.98 Interpret the slope in context.

The model predicts that the ​ ​ (a)   ​ (b)   ​ (c)   ​ for every​ (d)   ​ increase in ​ (e)  

Choose from the below words

car's value

decreases

425.98 dollars

one year

age

increase

-425.98 dollars

2.

On randomly chosen days during a summer class, temperatures were recorded as well as the number of absences on those days. The equation of the regression line used to model this relationship is: ŷ = 0.501x - 30.27. True or false? If the temperature is 81 degrees, you can predict about 10 people to be absent.

a)

TRUE

b)

FALSE

3.

On randomly chosen days during a summer class, temperatures were recorded as well as the number of absences on those days. The equation of the regression line used to model this relationship is: ŷ = 0.501x - 30.27.

True or false?

The y-intercept is not meaningful because absences cannot be negative.

a)

TRUE

b)

FALSE

4.

What is the meaning of the y-intercept?

a)

The hamburger will cost $1.90 without any toppings.

b)

The hamburger will cost $1.40 without any toppings. 

c)

The cost of the hamburger is $1.90 with one topping

d)

The cost of the hamburger doesn't change no matter how many toppings there are.

5.

What is the y-intercept and what does it represent?

a)

The y-intercept is $850/car and it represents the commission per car sold.

b)

The y-intercept is $1500/car and it represents the commission per car sold.

c)

The y-intercept is $1500 and it represents the monthly salary before commission.

d)

The y-intercept is $2775 and it represents the monthly salary before commission.

6.

The graph represents gasoline consumption when driving a certain distance in km.  What is the meaning of the slope?

a)

The tank started with 50 L of gasoline

b)

the amount of gasoline consumed per km driven

c)

the distance it takes to lose a Liter of gas

d)

the gasoline is leaking because the slope is negative.

7.

The table represents a used car salesman's monthly salary including commission made on the sale of cars.  What is the slope and what does it represent?

a)

The slope is $850/car and it represents the commission per car sold.

b)

The slope is $425/car and it represents the commission per car sold.

c)

The slope is $1500 and it represents the monthly salary before commission.

d)

The slope is $850 and it represents the monthly salary before commission.

8.

What is the meaning of the slope?

a)

You will receive $4 per paper delivered.

b)

You will receive $5 per paper delivered

c)

You will receive $20 per paper delivered

d)

You will receive $20 for the day

9.

What does the y-intercept represent?

a)

The amount of each deposit made

b)

The initial amount of money in the savings account

c)

The number of deposits made

d)

The amount of money in the savings account after 50 deposits

10.

The graph represents the height of a burning candle.  What is the meaning of the y-intercept?

a)

the time it takes to burn the entire candle

b)

the rate at which the candle is losing height

c)

the change in the height of the candle each hour

d)

the original height of the candle