Statistics Interpreting Slope and Y Intercept

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)  

• car's value

• decreases

• 425.98 dollars

• one year

• age

• increase

• -425.98 dollars

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.

• TRUE

• FALSE

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.

• TRUE

• FALSE

What is the meaning of the y-intercept?

• The hamburger will cost $1.90 without any toppings.

• The hamburger will cost $1.40 without any toppings. 

• The cost of the hamburger is $1.90 with one topping

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

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

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

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

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

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

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

• The tank started with 50 L of gasoline

• the amount of gasoline consumed per km driven

• the distance it takes to lose a Liter of gas

• the gasoline is leaking because the slope is negative.

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?

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

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

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

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

What is the meaning of the slope?

• You will receive $4 per paper delivered.

• You will receive $5 per paper delivered

• You will receive $20 per paper delivered

• You will receive $20 for the day

What does the y-intercept represent?

• The amount of each deposit made

• The initial amount of money in the savings account

• The number of deposits made

• The amount of money in the savings account after 50 deposits

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

• the time it takes to burn the entire candle

• the rate at which the candle is losing height

• the change in the height of the candle each hour

• the original height of the candle