Ch. 7 Linear Models: Interpreting Slope and Intercept

What does the slope mean in the context of the problem?

• The cost will increase by $1.40 per topping

• The cost will decrease by $1.40 per topping

• The cost will increase by $1.90 per topping

• The cost will decrease by $1.90 per topping

Tags

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

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.

Tags

CCSS.8.EE.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

weight-hat= 40(weeks)+100

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.

The linear regression equation is

Miles-hat = 61.93(hour) - 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.

What would be the correlation between study time and test grades?

• positive
• negative
• none
• cannot be determined

Tags

CCSS.HSF-LE.A.1B

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.

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

Which example shows CAUSATION? (Which one CAUSED the other to happen?)

• High social media usage and reduced grades.

• Car ran out of gas and being stranded on the side of the road.

• Recess time and number of friends.

• A person's age and what kind of cereal they eat.

Tags

CCSS.HSS.ID.C.9

Data is collected comparing sales of cars and the age of the salesperson. After analyzing the data, it is determined that the correlation coefficient is 0.19. What does this mean?

• There is a weak positive correlation between sales and age.

• There is a strong positive correlation between sales and age.

• There is a strong negative correlation between sales and age.

• There is a weak negative correlation between sales and age.

Estimate the correlation coefficient for this scatterplot.

• r = 1.2

• r = 0.89

• r = 0

• r = -0.89

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

The equation: Gallons gas-hat = -2(hours) + 7 models the amount of gas remaining in a lawnmower after # hours of use since it was filled. What is the meaning of the slope?

• For each hour of mowing, the mower is predicted to use 2 gallons.

• the predicted amount of gas the lawnmower can hold is 2 gallons

• For every two hours of mowing, the mower is predicted to use 7 gallons.

• The predicted amount of gas remaining after 1 hour is 2 gallons.