Question

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3. Inimitably instinctive investigator Sheerluck Hopeless tests her estimation abilities for weights against heights. She samples five London constables to estimate their weights and heights: her estimation errors are given in the table below: "How did those cheery chaps feel about helping you. Hopeless?" the duly impressed Dr. Witless inquired. "Eleemosynary, my dear Witless," murmured Hopeless, "eleemosynary! HOPELESS ERRORS HEIGHTS (cm) -2.6 -0.7 -0.3 0.7 0.9 WEIGHTS (kg) -2.3 2.3 4.7 4.8 5.5 Compare Sheerluck's estimation errors for heights against weights: a. Draw a simple plot of Sheerluck's weight errors (y) against height errors (C). (10) b. Find the regression line for weight errors as a function of height errors. (10) c. Use your regression line to estimate the error Sheerluck makes estimating a (10) suspect's weight when she underestimates height by 2cm.

Answer 1

y= bot bir bi = Exigi- nãy Exi² – ne? ă . Exi= – 0.4 y=- In Eye - 3 Exigi = 11.27. Exi² = 8.64 bi - 11.27 54 (-0.40x3. 8.64 - 5 * (0.4) 2. 2. 2028

Бо = y - ых - э +2, 2028 x .y 3,88 12 че 3-8 812 + 2 • 2028 x 3н Ч- х= (-2) 3-88 112 - 2 2 028 x2 - о S2 цR