Question

44.0 The paired data below consist of the length of random bears in inches and their weight in pounds. Find and use the correlation equation to predict the weight of a bear that measures 62 inches. 284.0 A 629.765 lbsB 651.765 ibsCy 625

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Answer #1

We will find an equation of the regression line in 4 steps. Step 1: Find X Yand X2 as it was done in the table below 584 624 514 700 596 284 550 X. X 3844 4356 1936 4489 3025 1296 2209 62 36208 41184 22616 46900 32780 10224 25850 67 36 47Step 2: Find the sum of every column: ΣΧ= 377, Σs 3852 , ΣΧ.s 215762, ΣΧ2-21155 Step 3: Use the following equations to find a andb Y . X2- X . XY 3852-21 155-377 . 215762 7.21155- 3772 a- 24.645 n . ΣΧΥ-Σχ . ΣΥ 7 . 215762-377 . 3852 9.76 7 21155- (377) Step 4: Substitute a and b in regression equation formula y-24.645 + 9.76.xSo the equation is Y = 24.645 + 9.76 X

Now to find what will be the value of y at X = 62.

Put x =62 in the equation,

We get,

Y = 24.645 + 9.76 × 62

= 629.765 (A) is correct.

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