MATHEMATICS

15. Exhibit 14-1
A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).
n = 10
Sx = 55
Sy = 55
Sx2 = 385
Sy= 385
Sxy = 220

Refer to Exhibit 14-1. The point estimate of y when x = 20 is

[removed] 0
[removed] 31
[removed] 9
[removed] -9

 

Coefficient of determination = +1

16. Exhibit 14-1A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).
Sum (x) = 30
Sum (x2) = 104
Sum (y) = 40
Sum (y2) = 178
Sum (x)(y) = 134

n=10

Refer to Exhibit 14-1. Interpret the y-intercept.

[removed] The estimated value of x is 1 if y is 0.
[removed] The estimated value of y is 1 if x is 0.
[removed] The estimated increase in y is 1 for each additional unit of x.
[removed] The estimated increase in x is 1 for each addition unit of y.

 

 

 

17. You are given the following information about y and x.

y x
Dependent
Variable
Independent
Variable
  5 15
  7 12
  9 10
11   7

 

Refer to Exhibit 14-2. The least squares estimate of b0 equals

[removed] -7.647
[removed] -1.3
[removed] 21.4
[removed] 16.41176

 

18. Exhibit 14-2You are given the following information about y and x.

y x
Dependent
Variable
Independent
Variable
  5 15
  7 12
  9 10
11   7

 

Refer to Exhibit 14-2. The coefficient of determination equals

[removed] -0.99705
[removed] -0.9941
[removed] 0.9941
[removed] 0.99705

 

 

 

19. Exhibit 14-3
Regression analysis was applied between sales data (in $1,000s) and advertising data (in $100s) and the following information was obtained.
y cap = 12 + 1.8 x
n
 = 17
SSR = 225
SSE = 75
sb1 = 0.2683

Refer to Exhibit 14-3. Based on the above estimated regression equation, if advertising is $3,000, then the point estimate for sales (in dollars) is

[removed] $66,000
[removed] $5,412
[removed] $66
[removed] $17,400

 

20. Exhibit 14-3
Regression analysis was applied between sales data (in $1,000s) and advertising data (in $100s) and the following information was obtained.
y cap = 12 + 1.8 x
n
 = 17
SSR = 225 SSE = 75
sb1 = 0.2683

Refer to Exhibit 14-3. The t statistic for testing the significance of the slope is

[removed] 1.80
[removed] 1.96
[removed] 6.709
[removed] 0.555

 

21. The following results were obtained as a part of simple regression analysis:

r2 = .9162

F statistic from the Ftable  = 3.59

Calculated value of F from the ANOVA table = 81.87

alpha = .05

p-value = .0000

The null hypothesis of no relationship between the dependent variable and the independent variable

[removed] is rejected
[removed] cannot be tested with the given information
[removed] is not rejected
[removed] is not an appropriate null hypothesis for this situation

 

22. The degrees of freedom error (within group variation) of a completely randomized design (one way ANOVA) test with four groups (treatments) and 15 observations per each group is:

[removed] 3
[removed] 56
[removed] 59
[removed] 14
[removed] 4

 

23. When computing an individual confidence interval using t statistic for comparing more than two means and if we do all possible pairwise comparisons of means, the experimentwise error rate  will be

[removed] equal to alpha
[removed] less than alpha
[removed] greater than alpha
[removed] may be less than or greater than alpha

 

24. After analyzing a data set using one-way analysis of variance, the same data is analyzed using a two factor, full factorial design ANOVA model with two observations per cell. The F statistic for the treatment in the one way ANOVA is ______________________ smaller than the F statistic for treatment in the two-factor full factorial design ANOVA model.

[removed] always
[removed] sometimes
[removed] never
[removed]

 

25. In a latin Squares design ANOVA with 6 treatments, total degrres of freedom and degrees of freedom error are:

[removed] 36,21
[removed] 15,10
[removed] 35,20
[removed] 35,5
[removed] 36,6

 

26. Which of the following is not a major assumption of the simple regression model:

[removed] Independence of error terms
[removed] Nominal data
[removed] Normal distribution of the variables
[removed] Equal (constant) variances

Order now and get 10% discount on all orders above $50 now!!The professional are ready and willing handle your assignment.

ORDER NOW »»