course MTH 173 6/21 5 If your solution to stated problem does not match the given solution, you should self-critique per instructions at
.............................................
Given Solution: `aThe three points on the graph are (3, 5000), (7, 5300) and (12, 5500). The rise between the first point and the second is from 5000 to 5300, or 300, and the run is from 3 to 7, or 4, so the slope is 300 / 4 = 75. Note that the 300 represents $300 and the 4 represents 4 months, so the slope represents $300 / (4 months) = $75 / month, which is the average rate of change during the first time interval. The rise between the second point and the third is from 5300 to 5500, or 200, and the run from 7 to 12 is 5, so the slope is 200 / 5 = 40. This slope represents the $40/month average rate of change during the second time interval. Click on 'Next Picture' to see the graph. `routine graph2 &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary): OK Self-critique Rating: OK ********************************************* Question: `q002. Look at your results for the slopes, and look the results for the average rates of change. What do you notice? In what way then does the graph represent the average rate of change? YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY Your solution: I notice that the avg. rate of change is decreasing. This graph represents this as an increasing line at a decreasing rate. Confidence Assessment: 2 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
.............................................
Given Solution: `aWe see from this example that the slope of a graph of value vs. clock time represents the rate at which value is changing with respect to clock time. &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary): I really misunderstood the question on this one. I understand now that the question is simply asking what the graph represents, not a description of what it looks like. Self-critique Rating: 3 ********************************************* Question: `q003. To what extent do you think your graph, consisting of 3 points with straight line segments between them, accurately depicts the detailed behavior of the stocks over the 9-month period? YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY Your solution: Fairly accurate, but I would think that a smooth curve instead of straight line segments might have depicted details better. Confidence Assessment: 2 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
.............................................
Given Solution: `aStocks can do just about anything from day to day-they can go up or down more in a single day than their net change in a month or even a year. So based on the values several months apart we can't say anything about what happens from day to day or even from month to month. We can only say that on the average, from one time to another, the stocks changed at a certain rate. &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& Self-critique (if necessary): I didn't consider the problem domain well enough for this one, had I considered the rapidly and sometimes drastic changes in stocks I would have realized that neither straight lines nor a smooth curve actually would depict this data well. Self-critique Rating: 3 ********************************************* Question: `q004. From the given information, do you think you can accurately infer the detailed behavior of the stock values over the nine-month period? YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY Your solution: No, based on the fact that the graph depicts average rate of change, and not the actual changes. A graph of actual changes could be quite 'zig-zagged'. Confidence Assessment: 3 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
.............................................
Given Solution: `aNot on a day-to-day basis, and not even on a month-to-month basis. All we can see from the given information is what might be an average trend. "