Meaning in Context
Reading a LBF
Evaluate LBF
100
Managers at a company rate employee's on performance and attitude and find that an employee's attitude depends on their performance. They find a linear relationship and the line of best fit is y=11.7+1.02x. What does 1.02 mean in the context of the problem?
- A - That if their attitude rating was 0 the performance rating would be 1.02.
- B - That if the performance rating was 0, their attitude rating would be 1.02.
- C - That for every point their performance rating goes up their attitude rating improves by 1.02 points.
- D - That for every point their attitude rating goes up their performance rating improves by 1.02 points.
- C - That for every point their performance rating goes up their attitude rating improves by 1.02 points.
100
The town's sheriff wanted to know if the time of day had any relation to speeding tickets his deputies gave out. He plotted his data in the scatter plot above. According to the line of best fit, what would be the best estimate of how many speeding tickets may have been given out at 11:00am?
- A - 29
- B - 10
- C - 18
- D - 13
- D - 13
100
Which graph BEST represents the line of best fit for the scatterplot?
D.
200
Rob is saving money for a down payment on a house. He opens a savings account at his local bank and deposits $1000. He models his savings plan with the equation y = 400x + 1000 based on his current income and monthly savings rate. What is the meaning of the y-intercept in the equation?
- A - largest amount that he can save
- B - date when he will have enough saved
- C - date his savings account was started
- D - starting amount in his savings account
- D starting amount in his savings account
200
The equation for the line is: y = 17.5x + 480. Which BEST interprets the slope of the linear model?
- A - The predicted mass of a Boxer puppy at birth.
- B - Every 17.5 days is associated with an additional 480 grams of mass.
- C - Each additional day is associated with an additional 480 grams of mass.
- D - Each additional day is associated with an additional 17.5 grams of mass.
- D - Each additional day is associated with an additional 17.5 grams of mass.
200
Which is MOST important when drawing a line of best fit for data on a scatter plot?
- A - Only the low and high data points.
- B - Only the data points below the line.
- C - Only the data points above the line
- D - The closeness of all data points to the line.
D - The closeness of all data points to the line.
300
Jamal owns a parking garage and is trying to find the relationship between hour of the day and number of cars in the garage. He finds that between 4 am and 10 am he can model this with a linear relationship. The equation for this model is y=3.96x+2.
About how many cars are entering the garage every hour?
A. 1
B. 2
C. 3
D. 4
D. 4
300
Pick 3 CORRECT Statements.
- A - A reasonable prediction SAT score of 1700 is a GPA of 3.0.
- B - A reasonable prediction SAT score of 2100 is a GPA of 3.5.
- C - The line of best fit can be used to make predictions of GPA based on SAT score
- D - The line of best fit shows that the price and age of a car have a negative association.
- E - The line of best fit gives the best approximation of the association between SAT score and GPA.
B, C, E
300
Based on this data, which inference is valid?
- A - In general, the taller a person is, the smaller his/her shoe size will be.
- B - There is no correlation between height and shoe size.
- C - When comparing two people, the person with the greater shoe size will always be the taller person.
- D - In general, the taller a person is, the greater his/her shoe size will be.
- D - In general, the taller a person is, the greater his/her shoe size will be.
400
The equation for the line is: y = 0.80x + 59. Which BEST interprets the slope of the linear model?
A - A student who studied for 30 minutes is predicted to earn a grade of 80 points.
- B - A student who did not study for the test is predicted to earn a grade of 59 points.
- C - Each additional minute of study time is associated with an additional 0.8 points on the test.
- D - Each additional 0.80 minutes of study time is associated with an additional point on the test.
- C - Each additional minute of study time is associated with an additional 0.8 points on the test.
400
Pick 3 CORRECT statements
- A - Each additionally hour of studying is associated with an additional 10 point increase in exam score.
- B - The model predicts that studying for 1.5 hours will result in an exam score of 60.
- C - The model predicts that studying for 2.5 hours will result in an exam score of 70.
- D - The model predicts that studying for 4 hours will result in an exam score of 95.
- E - The equation y = −10x + 45 models the relationship between exam score and study time.
A, B, and C
400
Based on this data, which inference is valid?
- A - No one will buy an item priced greater than $100.No one will buy an item priced greater than $100.
- B - In general, as the price of an item increases, the number of items sold decreases.
- C - No trend can be found between the price of an item and the number of those items sold.
- D - In general, as the price of an item decreases, the number of items sold decreases.
- B - In general, as the price of an item increases, the number of items sold decreases.