Question: 1. The scatterplot looks as if it could be the right-hand side of a parabola, making the data having a quadratic relationship. How can you
1. The scatterplot looks as if it could be the right-hand side of a parabola, making the data having a quadratic relationship. How can you tell if this is true? Write your answer in complete sentences.
2. Create a table with a third column showing x-squared values.
| x | x2 | y |
| 0 | .007 | |
| .5 | .01 | |
| 1 | .02 | |
| 2 | .1 | |
| 2.5 | .2 | |
| 3 | .4 | |
| 4 | 1.5 | |
| 4.5 | 2.9 |
3. decide whether the relationship between the x and y-variables is quadratic. Explain.
4. The scatterplot also looks as if it could be modeled with an exponential function. How can you tell if this is true? Write your answer in complete sentences.
5. Create a table with a third column showing values.
| x | y | |
| 0 | .007 | |
| .5 | .01 |
| 1 | .02 | |
| 2 | .1 | |
| 2.5 | .2 | |
| 3 | .4 | |
| 4 | 1.5 | |
| 4.5 | 2.9 |
6. decide whether the relationship between the x and y-variables is exponential. Explain.
Use the indicated points on the graph below to find the slope of the best-fit line. What does this tell you about the exponential model of the data? If needed, use a calculator or similar technology. (2, -2.3), (4,1.5)
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