Question

In the following data, X is the Fahrenheit temperature and Y is the number of times a cricket chirps in 1 minute.

Make a scatter plot of the data and discuss the appropriateness of using a 5-degree polynomial that passes through the data points as an empirical model.  

Fit a polynomial to the data and plot the results.

X	46	51	54	57	59	61	63	66	68	72
Y	40	55	72	77	90	96	99	113	127	132

Answer 1

Solution GINen data 46 59 5 4 72 68 63 66 99 t3 121 32 96 40 5S 77 גר ttone Fah Jenheit temfeature a cnicket ceket chiyps in I minute y= The numbe of times a Scatte flot of the given data Noo to make 160 40 foo 60 40 30 35 40 5o 55 60 70 15 80 tese e obsesved that above 9^aph a lineasn model gives avea Jood affozimation fn the deta not Suitable Therefaie Jou Cam use nskiny s degnee Poynomial an laggangian tam of the folrom ial. (:use Comuten algebara systrm) Mean of X57 Mean af Y90./

Coefficient 0931 canelation A =-130.969 3.70 3 The linea legessin equahion is given by Y = At Bx 30969t3.703X Now tSketcd a Scatte Plot of the give data ith the egressian time

5 0 So -50 35 60 30 40 65 S5 75 22