Question

The American Community Survey is a survey that uses U.S. census data to compile information on various characteristics of the U.S. population. Here are statistics that I would like you to analyze from a sample of states.

The independent variable (x-variable) is the percent of the state population living below the poverty level. The dependent variable (y-variable) is the state infant mortality rate in deaths per 1000 births. The data is displayed in the following table:

State:	Percent of Population living below poverty level	Infant Mortality Rate Deaths per 1000 Births
Vermont	11.5	5.12
New Jersey	10.2	5.35
Georgia	19.1	8.02
Kentucky	19.1	7.04
Iowa	12.8	5.43
Kansas	13.8	7.50
Colorado	13.5	6.04
New Mexico	21.5	5.81
Arizona	19.0	6.54
California	16.6	5.12
Oregon	17.5	5.41
North Dakota	12.2	6.44
Ohio	16.4	7.74
Maine	14.1	6.04
Mississippi	22.6	10.16
Arkansas	19.5	7.89
Louisiana	20.4	9.38
Wisconsin	13.1	6.57
Connecticut	10.9	6.27
Wyoming	11.3	7.05

Create a scatterplot of the x-values vs. the Residuals. The Residual plot shows two unusual values (values with the largest deviations).

Of the following statements, choose the two statements that correctly describe these unusual values.

    1. New Mexico has an actual infant mortality rate that is much higher than the

        predicted infant mortality rate.

    2. New Mexico has an actual infant mortality rate that is much lower than the

        predicted infant mortality rate.

    3. Louisiana has an actual infant mortality rate that is much higher than the

        predicted infant mortality rate.

    4. Louisiana has an actual infant mortality rate that is much lower than the

        predicted infant mortality rate.

    5. Mississippi has an actual infant mortality rate that is much higher than the

        predicted infant mortality rate.

    6. Mississippi has an actual infant mortality rate that is much lower than the

        predicted infant mortality rate.

	a.	Statements 2 and 5 are true.
	b.	Statements 1 and 5 are true.
	c.	Statements 3 and 5 are true.
	d.	Statements 1 and 4 are true
	e.	Statements 2 and 3 are true.

Answer 1

Solution: here we solve this problem using minitab statistical software as below

Now

values of x , y and residual as below

state	x	y	RESI1
Vermont	11.5	5.12	-0.75431
New Jersey	10.2	5.35	-0.25799
Georgia	19.1	8.02	0.588738
Kentucky	19.1	7.04	-0.39126
Iowa	12.8	5.43	-0.71063
Kansas	13.8	7.5	1.154504
Colorado	13.5	6.04	-0.24404
New Mexico	21.5	5.81	-2.11293
Arizona	19	6.54	-0.87078
California	16.6	5.12	-1.79911
Oregon	17.5	5.41	-1.69348
North Dakota	12.2	6.44	0.422283
Ohio	16.4	7.74	0.861864
Maine	14.1	6.04	-0.36695
Mississippi	22.6	10.16	2.011722
Arkansas	19.5	7.89	0.376793
Louisiana	20.4	9.38	1.682418
Wisconsin	13.1	6.57	0.367908
Connecticut	10.9	6.27	0.518603
Wyoming	11.3	7.05	1.216658

Comment : Using the above information we say that the

b.	Statements 1 and 5 are true. is the correct answer for this therefore

Ans :

b.	Statements 1 and 5 are true.

Thank You..!!

please like it...