Answered: Run a regression analysis on the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2CYU

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Related questions

Question

100%

Run a regression analysis on the following bivariate set of data with y as the response variable.

x	y
21.5	-5.9
43.7	30.5
60	35.4
52.2	15.1
83.8	56.2
79.3	60
73	80.2
69.6	48.8
101.9	71.7
33.3	8
61.5	54.3

Verify that the correlation is significant at an α=0.05α=0.05. If the correlation is indeed significant, predict what value (on average) for the explanatory variable will give you a value of 6.2 on the response variable.

What is the predicted explanatory value?
x =

(Report answer accurate to one decimal place.)

Expert Solution

Step 1

Solution:

	x	y	$(x - x)$	${(x - x)}^{2}$	$(y - y)$	${(y - y)}^{2}$	$(x - x) (y - y)$
	21.5	-5.9	-40.3	1624.09	-47.2	2227.84	1902.16
	43.7	30.5	-18.1	327.61	-10.8	116.64	195.48
	60	35.4	-1.8	3.24	-5.9	34.81	10.62
	52.2	15.1	-9.6	92.16	-26.2	686.44	251.52
	83.8	56.2	22	484	14.9	222.01	327.8
	79.3	60	17.5	306.25	18.7	349.69	327.25
	73	80.2	11.2	125.44	38.9	1513.21	435.68
	69.6	48.8	7.8	60.84	7.5	56.25	58.5
	101.9	71.7	40.1	1608.01	30.4	924.16	1219.04
	33.3	8	-28.5	812.25	-33.3	1108.89	949.05
	61.5	54.3	-0.3	0.09	13	169	-3.9

Total	679.8	454.3		5443.98		7408.94	5673.2