The table shows the heightsh (in feet) of a sponge t seconds after it was dropped by a window cleaner on to Time, t 1 1.5 2.5 3 Height, h 280 264 244 180 136 a. Use a graphing calculator to create a scatter plot. Which better represents the data, a line or a parabola? Expla A parabola best represents the data because there is not a constant rate of change. b. Use the regression feature of your calculator to find the model that best fits the data. The model is h = c. Use the model in part (b) to predict when the sponge will hit the ground. Round your answer to the nearest hundredth. about 4.18 v seconds
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Algebra 2
chapter 2: Modeling with Quadratic Functions > Section 2.4 Exercise 27
b. Use the regression feature of your calculator to find the model that best fits the data?
The model is h =
![**Table: Heights of a Sponge Over Time**
The table presents the heights \( h \) (in feet) of a sponge at various times \( t \) (in seconds) after being dropped by a window cleaner.
| Time, \( t \) (seconds) | Height, \( h \) (feet) |
|-------------------------|-------------------------|
| 0 | 280 |
| 1 | 264 |
| 1.5 | 244 |
| 2.5 | 180 |
| 3 | 136 |
**a. Scatter Plot Analysis**
Use a graphing calculator to create a scatter plot of the data. Determine whether a line or a parabola better represents the data by examining the rate of change. A parabola best represents the data because there is not a constant rate of change.
**b. Regression Model**
Utilize the regression feature of your calculator to find the mathematical model that best fits the given data.
The model is \( h = \_\_\_ \).
**c. Prediction Using the Model**
Apply the model from part (b) to predict the time when the sponge will hit the ground. Round the prediction to the nearest hundredth.
The sponge will hit the ground in about 4.18 seconds.
**d. Domain and Range Interpretation**
Identify and interpret the domain and range pertinent to this scenario.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7d07c7e1-3eea-4708-8600-c0af1abb35f6%2Fef8cafdd-0b4c-4f6b-96b6-0e99d5534790%2Fqf3om4_processed.jpeg&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)