When wildebeest are more abundant, they graze the grass more heavily, so there are fewer fires and more trees grow. Lions feed more successfully when there are more trees, so the lion population increases. The data on one part of this cycle, wildebeest abundance (in thousands of animals) and the percent of the grass area that burned in the same year are on the spreadsheet. To what extent do these data support the claim that more wildebeest reduce the percent of grasslands that burn? How rapidly does burned area decrease as the number of wildebeest increases? To answer these questions, create a scatterplot and add the regression line. Describe the scatterplot. Interpret the slope and intercept in context of the problem. Does the intercept explanation make sense in the real world? Find the correlation coefficient and coefficient of determination. What do they tell us about the relationship between number of wildebeest and percent of grassland burned?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
When wildebeest are more abundant, they graze the grass more heavily, so there are fewer fires and more
trees grow. Lions feed more successfully when there are more trees, so the lion population increases. The
data on one part of this cycle, wildebeest abundance (in thousands of animals) and the percent of the grass
area that burned in the same year are on the spreadsheet.
To what extent do these data support the claim that more wildebeest reduce the percent of grasslands that burn?
How rapidly does burned area decrease as the number of wildebeest increases?
To answer these questions, create a
Does the intercept explanation make sense in the real world? Find the
What do they tell us about the relationship between number of wildebeest and percent of grassland burned?
| Beest (in 1000s) | Percent Burned |
| 396 | 56 |
| 476 | 50 |
| 698 | 25 |
| 1049 | 16 |
| 1178 | 7 |
| 1200 | 5 |
| 1302 | 7 |
| 360 | 88 |
| 444 | 88 |
| 524 | 75 |
| 622 | 60 |
| 600 | 56 |
| 902 | 45 |
| 1147 | 32 |
| 1173 | 31 |
| 1178 | 24 |
| 1253 | 24 |
| 1249 | 53 |
| 1440 | 21 |
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