Question

1. The chart below shows the caloric content and the sodium content(in milligrams) for 10 beef hot dogs (Source: Consumer Reports). Calories,x 150 170 Sodium, y 420 470 120 350 120 90 180 170 360 270 550 530 140 460 90 380 110 330 (a) Graph a scatter diagram of the table and find the equation of the regression equation and plot it on the same scatter diagram to see the regression line (b) What is the correlation coefficient(t) of the model? (c) If x 210 milligrams, predict the sodium level.

Answer 1

The given dato is Calones Sodium - 150 170 120 120 go 420 470 350 360 270 550 530 460 380 63000 79900 42000 48200 24300 99000 90100 64400 34200 36300 180 170 7 . 8 140 go 10 10 330 totay 1340 4120 576400 Hear, n=10 I* 1340 27- 4120 2xy = 576400 Ex²= 189400 Iy2 = 1770600 of 2 ind graph a the table and equation of the equation 4 plot it scatter diagron degression line scatter diagram ind the regression. on the some to see the

. scatter plot y-axis . ŷ = 80.819 +2.4715 A > 29 (sodium Do 200 300 400 500 600 7030 Cooperses ? 6nd Linear gegzessin = botbix find bof bi hil zx1 = (2x) (24) 2x - 2) - 5576400 - (1340) (4120) 189400 - (1340)2 = 576400 – 552080 189400 - 179560

b = 24 320 9840 b = 2.4715 find, bo bo = Y - bix. T = 134 = 412 . = 412- (2.4715) (134) 412 - 331.181 I bo = 80.819 ŷ - bot bix T = 80.819 + (2.4715) X coefficient 6 (8) - what is of the r = the correlation model n(Exy - (Ex) (Sy) fost (502] [nZt?- (zyb?]

= 10( 576400) – (1340) ( 4120) [18x189400) - (1340)2] [[lox 1776600) - =(4.29 5764000 - 5520800 3 13. 688 X 855.336 243200 268308.6392 Ang r = 0.9064 © If X. =-210 predict milliqooms. the sodium level 80.829+ 204715 X y = ! Hese, X 210 80.819 + 2.4715 (210) 80.819 + 519.015 599-834 Ans