Question

The data show the bug chirps per minute at different temperatures. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted value? Chirps in 1 min 939 1172 961 983 1213 1012 Temperature (°F) 77.6 91 74.7 81.7 92.478.1 What is the regression equation? ĝ=x (Round the x-coefficient to four decimal places as needed. Round the constant to two decimal places as needed.) What is the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute? The best predicted temperature when a bug is chirping at 3000 chirps per minute is °F. (Round to one decimal place as needed.) What is wrong with this predicted value? Choose the correct answer below. O A. It is only an approximation. An unrounded value would be considered accurate. B. It is unrealistically high. The value 3000 is far outside of the range of observed values. O C. The first variable should have been the dependent variable OD. Nothing is wrong with this value. It can be treated as an accurate prediction.

Answer 1

solution - let, x = chips in 1 min. Y = Temperature (of) Х (X-A) * (Y-B) У 77.6 939 |(X-A) -108 125 (Y-B) -4.9833 (x-A) 2 11664 15625 CY_BJ2 24-8336 70.0403 538.20 1172 10 52.0833 91 8.4167 -7.8833 677.9667 62,1469 961 983 74.7 81.7 -64 -0.8833 0.7803 56-5333 1213 92.4 166 9.8167 -4.4833 7396 4096 27556 1225 67562 96.3669 20, 1003 1629.5667 156.9167 1012 78.1 -35 O 275,0683 4111. 2667 = Sum - 2 6200 495.5 EX Meant х 62 80 6 = 1046.6667 (lel A = 1049) y ΣΥ n 495.5 6 - @2,5833 ( let B = 82.5833) na CX-A)(y-B) Бух h {(X-A) 2 SCX-A) * E(X-B) [{X-A)]² 6* 4 111 2667 (-2)=0 0.0609 67 67562 byx ( x- ) (-22 Regression Y on xa у у ŷ- 22.5833 = 0.0609 ( x-1046.6067) y = o o o x + 18-8912 Regression equation - 18.89 +0.0609x (a

6 X = 3000 Y = 18.89 +0,0609 *3000 = 201.59 a 20116 The best Predicted temperature cohen a bug i chirping of 3000 chips per minute is 201.617 © ) B It is unrealistically high the value 3000 is far outside of the range of the observed values.