Practice Linear modelling with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.
Consider the following statement regarding statistical modeling:
"A primary reason why extrapolation is considered less reliable than interpolation is that the linear trend observed within the data range may change or reach a physical limit outside that range."
Which of the following is the most accurate evaluation of this statement?
A fitness app uses the linear model to calculate the total monthly fee () based on the number of personal training sessions booked ().
What is the real-world interpretation of the -intercept in this context?
A linear model is defined by the equation . Determine the value of the independent variable when the dependent variable is equal to 32.
If a scatter diagram shows that for every 1 unit increase in , the corresponding increase in becomes significantly larger each time (for example, increases by 2, then by 5, then by 12), which term best describes the 'form' of this association?
A linear model for the distance a cyclist travels is , where is the distance in kilometres and is the time in hours. What does the gradient represent in this context?
A catering service uses the linear model to estimate the total cost (in dollars) of an event for guests. What does the value represent in this context?
A scatter diagram shows that as the number of hours spent exercising increases, the resting heart rate of individuals tends to decrease. The points follow a roughly straight path and are closely packed. Which description best fits this correlation?
Which of the following best describes a scatter diagram?
A study finds a strong positive correlation between the number of air conditioning units sold and the number of heatstroke cases recorded. Which factor is most likely the 'lurking variable' that explains this association without implying causation?
True or False: In a scatter diagram, if the values of the dependent variable decrease as the values of the independent variable decrease, the association is described as having a positive direction.
Practice Linear modelling with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.
Consider the following statement regarding statistical modeling:
"A primary reason why extrapolation is considered less reliable than interpolation is that the linear trend observed within the data range may change or reach a physical limit outside that range."
Which of the following is the most accurate evaluation of this statement?
A fitness app uses the linear model to calculate the total monthly fee () based on the number of personal training sessions booked ().
What is the real-world interpretation of the -intercept in this context?
A linear model is defined by the equation . Determine the value of the independent variable when the dependent variable is equal to 32.
If a scatter diagram shows that for every 1 unit increase in , the corresponding increase in becomes significantly larger each time (for example, increases by 2, then by 5, then by 12), which term best describes the 'form' of this association?
A linear model for the distance a cyclist travels is , where is the distance in kilometres and is the time in hours. What does the gradient represent in this context?
A catering service uses the linear model to estimate the total cost (in dollars) of an event for guests. What does the value represent in this context?
A scatter diagram shows that as the number of hours spent exercising increases, the resting heart rate of individuals tends to decrease. The points follow a roughly straight path and are closely packed. Which description best fits this correlation?
Which of the following best describes a scatter diagram?
A study finds a strong positive correlation between the number of air conditioning units sold and the number of heatstroke cases recorded. Which factor is most likely the 'lurking variable' that explains this association without implying causation?
True or False: In a scatter diagram, if the values of the dependent variable decrease as the values of the independent variable decrease, the association is described as having a positive direction.