Question: VOLUME LAB In this lab, you will explore the relationship between the volume of some water in a cylinder and the height of the water.

VOLUME LAB In this lab, you will explore the relationship between the volume of some water in a cylinder and the height of the water. You will use the data listed in Table 66. The height of the cylinder is 12 centimeters. Table 66 Heights of Water in a Cylinder with Radius 4.45 Centimeters Height Volume (centimeters) (ounces) 0.9 19 29 3.8 48 47 Source: J. Lehmann 1. Let V be the volume of water (in ounces) in the cylinder when the height is h centimeters. Assume that h is the explanatory variable. Construct a scatterplot of the data. 2. Draw a linear model on your scatterplot 3. What is the V-intercept of your model? What does it mean in this situation? 4. Use the model to estimate the volume of water when the height of the water is 3 centimeters. 5. Use the model to estimate the height of 7 ounces of water in the cylinder. 6. Use the height and the model to estimate the maximum amount of water that the cylinder can hold. 7. Indicate on your graph of the model where model breakdown occurs. Also, describe in words when model breakdown occurs
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