Question

Review the table showing the height of a drooping rope in terms of horizontal distance from its left end Applying a quadratic regression model y = ax2 + bx + c, what are the values of a, b, and c? Horizontal Distance (ft) Height (ft) A. a = 0.248, b = 0.994, c = 2.979 B. a = 2.979, b = 0.994, c = 0.248 C. a = 0.248, b = -0.994, C = 2.979 D. a = 2.979, b = -0.994, c = 0.248

Answer 1

The values of a, b, and c in the quadratic regression model
`y = ax^2 + bx + c,` you would typically use regression analysis software or tools. Without the specific data points and calculations, I can't directly confirm the correct option.

To determine the values of a, b, and c in the quadratic regression model
`y = ax2 + bx + c,` you would typically use regression analysis software or tools. Without the specific data points and calculations, I can't directly confirm the correct option. However, I can guide you on how to approach this problem.

Given the options:

A. a = 0.248, b = 0.994, c = 2.979

B. a = 2.979, b = 0.994, c = 0.248

C. a = 0.248, b = -0.994, c = 2.979

D. a = 2.979, b = -0.994, c = 0.248

The general form of the quadratic regression model is
`y = ax2 + bx + c.`This equation describes the relationship between the horizontal distance (x) and the height (y) of the drooping rope.

To find the correct option, you need to compare the coefficients in the options with the coefficients in the quadratic regression model. The correct option should have the same coefficients for a, b, and c.

Without the actual data or regression results, it's challenging to verify the correct answer. If you have access to the regression output or data points, you can input them into regression software or a calculator to obtain the coefficients and compare them with the given options.