Complete the below:
STATISTICAL ANALYSIS
Central Statistics:
1. Given the data set:
|
Values of X
|
|
13
|
12
|
9
|
15
|
11
|
16
|
17
|
8
|
12
|
7
|
12
|
a. Calculate the mean.
b. Calculate the median.
c. Calculate the mode.
d. Calculate the range.
e. Calculate the variance.
f. Calculate the standard deviation.
g. Calculate the coefficient of variation.
h. Calculate the standard error of the mean.
i. Construct a 95% confidence interval.
2. Given the following data, construct a 95 percent confidence interval:
|
STATISTIC
|
X‾
|
S
|
n
|
α
|
|
VALUE
|
113
|
15
|
9
|
.05
|
3. Given the following data, construct a 90 percent confidence interval:
|
STATISTIC
|
X‾
|
S
|
n
|
α
|
|
VALUE
|
100
|
10
|
16
|
.10
|
REGRESSION ANALYSIS
(Manual Calculations)
1. Given the following data set:
|
X
|
Y
|
XY
|
X2
|
|
2
|
6.1
|
12.2
|
4
|
|
3
|
7.3
|
21.9
|
9
|
|
5
|
10.4
|
52
|
25
|
|
5
|
9.4
|
47
|
25
|
|
6
|
10.7
|
64.2
|
36
|
|
7
|
12.1
|
84.7
|
49
|
|
28.0
|
56.0
|
282.0
|
148.0
|
TM
|
|
ANOVA TABLE
|
|
|
Source
|
Sum of Squares
|
df
|
Mean Square
|
|
Regression
|
24.641
|
1
|
24.641
|
|
Error
|
.06123
|
4
|
.0153
|
|
Total
|
25
|
5
|
|
a. Calculate X:
b. Calculate Y:
c. Calculate the Slope: B = ΣXY- n(X )(Y )/∑ X2 - n(X)2
d. Calculate the Y-intercept: A = Y -B(X)
e. Write the regression equation; YC = A + B(X):
f. Predict YC for X =15:
g. Calculate the coefficient of determination:
h. Should you assume a significant relationship between the dependent and independent variables based on a 5% significance level?