Write a sentence interpreting the regression data in the following table.

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

REVIEW ASSIGNMENT 

Answer the following questions, being sure to round to 2 decimals at each step in your calculations. Show your work in the table below (or upload a separate sheet if needed). Record all answers in the spaces provided. Save this Word document, with your answers, as your last name_first name (eg. Exotik_Joe) and upload it to the Blackboard REVIEW ASSIGNMENT Dropbox. 

SECTION 1

Below is a sample of 10 numbers: 

X	x-	(x-)2
63
15
42
7
25
53
18
5
72
37

1.1 What is the mean: _____       

1.2 What is the median: _____        

1.3 What is the mode: _____

1.4 What are the degrees of freedom: ____

1.5 What is the standard deviation: ____

SECTION 2

2.1 Given the following pairs of data for mothers’ and fathers’ ratings of their child’s behavior problems, what type of correlation would you expect?  Explain your answer.

	Child Behavior Problem Score
	Mother’s Rating	Father’s Rating
Family 1	60	70
Family 2	55	50
Family 3	30	30
Family 4	45	40
Family 5	95	100
Family 6	75	75
Family 7	50	55
Family 8	100	90
Family 9	25	30

2.2 Calculate the correlation coefficient for the previous data.  Is it significant?  Write a brief statement to explain the results. 

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

SECTION 3

3.1 Given the following values, calculate the regression equation.  

Age of car (years)	Mileage
1.00	40.00
1.00	25.00
2.00	37.00
2.00	35.00
3.00	36.00
3.00	35.00
4.00	32.00
5.00	30.00
6.00	25.00
10.00	20.00

3.2 Given this regression equation,  = .3 X + 25, estimate the values of X given the following values of Y:

a) Y = 0 _______

b) Y = 25 _______

c) Y = -30 _______

3.3 Write a sentence interpreting the regression data in the following table.

3.4 Answer the following questions based on the regression data in the previous table:

a) What percent of variability in behavior problems is accounted for by anger? ______

b) What percent of variability in behavior problems independent of anger? ______

SECTION 4

4.1 Indicate whether or not the following Chi-square statistics are significant:

a) 2.75; k =2 __________

b) 11.00; k =5 __________

c) 12.40; df = 6 __________

4.2 A social worker has been asked to testify before her state legislature about the impact of long-term foster care on child outcomes and government spending.  She knows that 60% of children who remained in the foster care system without being adopted ended up in prison.  The figure for foster care children who were eventually adopted was 25%.  These data were based on 500 children who remained in foster care and 800 children who were eventually adopted. Calculate and interpret Chi-square.

______________________________________________________________________________

______________________________________________________________________________

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4.3 Calculate and interpret the z score based on the proportion of youth who end up in prison using the data from the previous example.

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

Attachments:

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