Question

equation to pre 22 Determine an on the of mass based 7 he metabolism Hrate as a function to predict the following data. Dse it rate of a 200-kg tiger. metabolisme watts) Animal cow Masst kg) 270 400 Human Sheep нел e AU Rat Dove 0.16

Answer 1

We can use the linear regression to compute the point which is modelling these points. We are keeping weights in Kg (on x-axis) and metabolism (on y-axis)

We will find an equation of the regression line in 4 steps. Step 1: Find X · Y and X2 as it was done in the table below. Y X-Y 108000 X-X 160000 4900 2025 5740 2250 9.6 0.435 0.1552 0.09 0.97 0.0256 Step 2: Find the sum of every column: ΣΧ = 517.46, ΣΥ = 409.22, ΣΧ.Υ = 116000.1902 , ΣΧ? = 166929.1156 Step 3: Use the following equations to find a and b: 11.291 ΣΥΣΧ2 –ΣΧ. ΣΧΥ 409.22 - 166929.1156 - 517.46 - 116000.1902 - η-ΣΧ” - (ΣΧ)? 6 - 166929.1156 - 517.462 η· ΣΧΥ - ΣΧ. ΣΥ 6 - 116000.1902 – 517.46 - 409.22 - 0.66 η-ΣΧ? - (Σ Χ)? 6. 166929.1156 – (517.46)? Η Ο Step 4: Substitute a and b in regression equation formula 9 = + 6-1 y = 11.291 + 0.66 - 2

y (200) = 11.291 +0.66(200) = 143.29

Hence the computed metabolism for 200 Kg-tiger will be equal to 143.29 with the given data

Note - Post any doubts/queries in comments section.