Question

2. James Jesse, the head of the Bureau of Animal Husbandry, perceives that several agencies received large increases in appropriations last year because they encouraged interest groups to testify for them before the House Appropriations Committee. The accompanying sample data for five agencies similar to Jesse’s were gathered. Using regression analysis, calculate a regression equation. Does a relationship exist? The Bureau of Animal Husbandry could pressure 15 groups to testify for it. What percentage increase in appropriation would this number of groups predict? Place a 90% confidence interval around that estimate. How large an increase is each additional interest group worth?

Interest Groups Testifying	Percentage Increase in Appropriation
25	22
14	17
7	8
18	19

Answer 1

x	y	x^2	y^2	xy
25	22	625	484	550
14	17	196	289	238
7	8	49	64	56
18	19	324	361	342
64	66	1194	1198	1186

b1= nE(xy)-ExEy/nE(x2)-(Ex2)

=4*1186-(64*66)/4*1194-(64*64)

=4744-4244/4776-4096

=500/680

=0.735294

b0=Ey-b1Ex/n

=66-0.735294*64/4

=35736-1863.48/25

=4.235294

y=4.235294+0.735294x

r (correlation)=n(Exy)-(Ex)(Ey)/sqrt(nEx2-(Ex)2)(nEY2-(Ey)2)

=4*1186-(64*66)/sqrt*(4*1194)-(64*64)(4*1198-(66*66)

=4744-4244/sqrt*4776-4096*4792-4356

=500/544.50

=0.918

r^2=0.918*0.918

=0.843

--------------------------------------

DEAR STUDENT,

IF YOU HAVE ANY QUERY ASK ME IN THE COMMENT BOX,I AM HERE TO HELPS YOU.PLEASE GIVE ME POSITIVE RATINGS

*****************THANK YOU***************