Question

Question Help- X9.2.17-T Find the equalion of the regression ine for the given data. Then construct a scater plot of the data and draw the regression line. (The pair of variables have a signficant comelation) Then use the regression equation to predict the value of y fon each of the given xvalues, f meaninghul. The table below shows the heights (n feet) and the number of stories of six notable buildings in a city Height, Sorles, y (b)x-651 feet (d) x724 feet 520 706 404 38 484 36 (a)x501 feet ()x345 fee 508 620 46 45 5 41 Find the regression equation. (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed) Enter your anwer in the edt elds and then click Check Anw Check Anves Clear A perts remaing MacBook Pro T H D

parts a thru e

Answer 1

X	Y	XY	X^2	Y^2
766	51	39066	586756	2601
620	46	28520	384400	2116
520	45	23400	270400	2025
508	41	20828	258064	1681
494	38	18772	244036	1444
484	36	17424	234256	1296

PREDICTEDY = a + EX b = d = Σy - bΣx ΠΣxy - (Σx)(ΣΥ) ΠΣχ2 - (Σx)2

From the above table and formula we get the value are as:

n	6
sum(XY)	148010.00
sum(X)	3392.00
sum(Y)	257.00
sum(X^2)	1977912.00
sum(Y^2)	11163.00

b	0.045
a	17.34

Regression equation = a + bx

ycap = 17.34 + 0.045x

ycap = 17.34 + 0.045x

a)

when x = 501

ycap = 17.34 + 0.045x

Predicted value = 17.34 + 0.05 * 501

= 42

b)

when x = 651

ycap = 17.34 + 0.045x

Predicted value = 17.34 + 0.05 * 651

= 50

c)

when x = 345

ycap = 17.34 + 0.045x

Predicted value = 17.34 + 0.05 * 345

= 35

d)

when x = 724

ycap = 17.34 + 0.045x

Predicted value = 17.34 + 0.05 * 724

= 54