Question

Consider the following sample data:

x	32	23	18	36	13	40	35	24
y	31	37	34	60	25	45	43	38

Click here for the Excel Data File

b.	Calculate b1 and b0. What is the sample regression equation? (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)

yˆy^  +  x

c.	Find the predicted value for y if x equals 11, 16, and 21. (Round intermediate coefficient values and final answers to 2 decimal places.)

	yˆy^
If x = 11
If x = 16
If x = 21

Answer 1

Given clata can be represented in table form. T x2 32 37 34 60 1600 24 Х ху 31 :992 1024 23 85 l 529 18 61 2 324 36 2160 1296 13 25 325 169 40 45 1800 35 43 1505 1225 38 9 12 576 221 313 9157 6743 The regression equation is given by ŷ botbi where, bi is slope f bo is y-intercept. and it is given by. bis Exy 9157 - 1.358 EX? 6743 bos 5 - b, F EY b, ex b n bo = 313 313 - (1.3558x 2?!) bo = 1.61 :: Sample regression equation is ŷ= botbox 9-1.61+ 1.358 x

we use we want to predict y when X=11,16821. sample regression equation. ģ= 1.61+ 1,358 % 0 put x=11 in eano. ŷ = 1.61 + (1.358x 10 3 - ) , S48 ( put X=16 in egna ý - = 1.61 + (1.358 X 16) ŷ = 23.338 (1) put x=21 in eq" 9 - ( 6 ) + ( (-3588 24) ý 30.128 Answer: values of b, = 1.36 bo = 1.61 Sample regression equation is - 1.61 + 1.36 X value for y. when x = 11, 16821 is 5 У for x=11 is y = 16.54 6 y for X=16 is y: 23.33 W y for X=21 y = 30,12 is