Question

Please Answer All Questions

QUESTION 17

1. Given the following statistics:

   SP = 19

   SS(x)= 13.5

   SS(y) = 23.4

   Mean of X = 4.5

   Mean of Y = 7.5

   Compute a regression equation using the data above. What is this equation?

   		Ŷ = 1.41X + 1.17
   		Ŷ = 1.15X - 2.88
   		Ŷ = 0.5X + 2.5
   		Ŷ = 0.5X + 1

3 points   

QUESTION 18

1. Using the equation you just created in #17, assume that the X variable was number of cigarettes smoked, and the Y variable was number of beers drank. If someone smoked 5 cigarettes throughout the duration of the Bill’s football game, what would be the predicted number of beers drank?

   		7.0 beers
   		12.4 beers
   		8.2 beers
   		5.2 beers

3 points   

QUESTION 19

1. Scenario B: The following data are from an independent-measures experiment comparing the effects insomnia treatments on the amount of sleep participants acquire. Treatment 1 is the control condition, Treatment 2 is a behavioral therapy, and Treatment 3 is the administration of sleep aids. There were 6 participants in each treatment condition.

   Treatment 1: Mean = 2; T = 7
   Treatment 2: Mean = 5; T = 14
   Treatment 3: Mean = 19; T = 25
   G = 46

   Fill in the ANOVA summary table below in answering the following questions (#19-25).

   Source	SS	Df	MS	F
   Between Treatment			13.72
   Within Treatment
   Total	39.4

   What is the Sums of Squares Between Treatments (SS_between) value in the above independent-measures data set?

   		24.11
   		30.11
   		36.58
   		27.44

3 points   

QUESTION 20

1. Continuing with Scenario B, what is the Sums of Squares Within Treatments (SS_within) value in the above independent-measures data set?

   		7.33
   		12
   		24.17
   		8.33

3 points   

QUESTION 21

1. Continuing with Scenario B, what are the degrees of freedom within treatments (df_within) value in the above independent-measures data set?

   		5
   		17
   		2
   		15

3 points   

QUESTION 22

1. Continuing with Scenario B, what would be the F_critical value using an α = .05 level of significance?

   		6.11
   		6.36
   		3.59
   		3.68

3 points   

QUESTION 23

1. Continuing with Scenario B, what is the obtained F statistic and do you reject or retain the null hypothesis (H₀)?

   		F=17.15; reject the null hypothesis
   		F=19.68; reject the null hypothesis
   		F=3.14; retain the null hypothesis
   		F=9.34; reject the null hypothesis

3 points   

QUESTION 24

1. Continuing with Scenario B, begin the process of the post hoc test by first computing the Tukey's HSD value using q = 3.67.

   		1.34
   		2.73
   		1.90
   		3.33

3 points   

QUESTION 25

1. Continuing with Research Scenario B, after computing every pairwise difference in treatment means and comparing each to the Tukey HSD value, what would the researcher conclude about the effectiveness of the treatments?

   		Treatment 3 (sleep aids) was the most effective treatment.
   		None of the sleep treatments were effective.
   		Treatment 2 (behavioral therapy) was the most effective treatment.
   		Treatment 2 (behavioral therapy) and 3 (sleep aids) were equally effective.

Answer 1

QUESTION 17

Given the following statistics:

SP = 19

SS(x)= 13.5

SS(y) = 23.4

Mean of X = 4.5

Mean of Y = 7.5

b1 = SP/SS(x) = 19/13.5 = 1.41

b0 = Mean of Y - b1*Mean of X = 7.5 - 1.41*4.5 = 1.17

The regression equation is:

Ŷ = 1.41X + 1.17

QUESTION 18

Put x = 5

Ŷ = 1.41*5 + 1.17

Ŷ = 8.2 beers

QUESTION 19

THE ANOVA table is:

Source	SS	Df	MS	F
Between Treatment	27.44	2	13.72	17.21
Within Treatment	11.96	15	0.80
Total	39.4	17

27.44

QUESTION 20

12

QUESTION 21

15

QUESTION 22

3.68

QUESTION 23

F=17.15; reject the null hypothesis

QUESTION 24

1.34

QUESTION 25

Treatment 3 (sleep aids) was the most effective treatment.