Power relationships

This question concers the following data lists x 3 4 5 6 7 9 10 y 4.6 4.0 3.6 3.3 3.0 2.7 2.5 It is thought that x and y are related by a power relationship, that is, a function of the form y=ax^b. Perform power regression on these data, nd then choose the one option describing a situation which these data could represent. You should assume in each case that appropriate units have been chosen for x and y, and that the values are quoted to an appropriate accuracy;you should consider only whether or not the power function you have found is appropriate to the situation. Options A. X is the time since a pebble was dropped down a well, and y is the distance it... click for more

Model a Journey: Speed and Distance

This question concers part of a homeward car journey made by Hilary. At 9.15am. Hilary is 200km from home, and, at 11.45am. she is 150km from home. Choose the two True statements. Options A. Hilary's average speed for this part of the journey is 20km per hour B. Hilary's average speed for this part of the journey is - 20km per hour. C. Hilary's average velocity for this part of the journey is 20km per hour away from home. D. On a distance-time graph, where the time axis is marked in hours since midnight and the distance axis is marked in kilometers from Hilary's home, the coordinates of the begining and end of this part of the journey are (9.15,200) and (11.75,150). E. o... click for more

Graphs used to model motion.

Demonstrate the use of graphs to model motion by explaining how such models are created, and how the interpretation of the results depend upon the assumptions made.

Choosing the right type of regression model.

Demonstrate your understanding of choosing the type of regression model to the given data, by explaning three factors that should be taken into account in the choice between different models.

Simulation using the 8 steps model

John decides to set up a music group with his even best friends. The group will work only if at least five of his friends can join. Using simulation, answer the following: 1. If John thinks that there is a 50% chance that each of his friends will join the group, can you estimate the probability of getting at least five friends to join the group? 2. What is the most likely size of the group? 3. Is John too ambitious in planning a group of at least five?