Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Use cubic regression to find a function that fits the following (-3,-28) (0,-4) (4,168) (-5,-174)

Use Cubic Regression To Find A Function That Fits The Following 328 04 4168 5174 class=

Sagot :

semsee45

Answer:

f(x) = 2x³ + 3x² - x - 4

Step-by-step explanation:

cubic regression: f(x) = ax³ + bx² + cx + d

(0, -4) indicates that the y-intercept is -4, so

f(x) = ax³ + bx² + cx - 4

(-3, -28):  f(-3) = -27a + 9b - 3c - 4 = -28

                         ⇒ -27a + 9b - 3c = -24

(4, 168):  f(4) = 64a + 16b + 4c - 4 = 168

                        ⇒ 64a + 16b + 4c = 172

(-5, -174): f(-5) = -125a + 25b - 5c - 4 = -174

                          ⇒ -125a + 25b - 5c = 170

Solve the 3 equations simultaneously to find a, b and c:

a = 2, b = 3, c = -1

Therefore, f(x) = 2x³ + 3x² - x - 4

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.