Height x 774, 625, 521,508,497,477 Stories y 51,47, 52, 25, 38, 33 Find the equa

Question

Height x 774, 625, 521,508,497,477 Stories y 51,47, 52, 25, 38, 33 Find the equation of the regression line for the given data. Round the slope to three decimal places as needed and round the Y intercept to g two decimal places as needed. Height x 774, 625, 521,508,497,477 Stories y 51,47, 52, 25, 38, 33 Find the equation of the regression line for the given data. Round the slope to three decimal places as needed and round the Y intercept to g two decimal places as needed. Stories y 51,47, 52, 25, 38, 33 Find the equation of the regression line for the given data. Round the slope to three decimal places as needed and round the Y intercept to g two decimal places as needed.

Explanation / Answer

X is the independent variable and y the dependent variable.

X2 as it was done in the table below.

Step 2: Find the sum of every column:

X=3402 , Y=246 , XY=143268 , X2=1993744

Step 3: Use the following equations to find a and b:

ab=YX2XXYnX2(X)2=2461993744340214326861993744340227.878=nXYXYnX2(X)2=6143268340224661993744(3402)20.058

Step 4: Substitute a and b in regression equation formula

y = a + bx= 7.878 + 0.058x

i.e. y = 7.88+0.06 x

X Y XY XX 774 51 39474 599076 625 47 29375 390625 521 52 27092 271441 508 25 12700 258064 497 38 18886 247009 477 33 15741 227529

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