Solved by verified expert:Login and complete midterm…will provide login details…really need an A on this assignmentMUST USE SCRACTH PAPER AND UPLOAD PICTURE OF WORK ONCE COMPLETE WITH THE TEST FOR THE PROFESSORSEND IT HERE AND I WILL SEND TO THE PROFESSORMUST ONLY USE THE FORMULAS AND SYMBOLS FROM THE ATTACHED WORKSHHET FROM THE COURSETEST IS TIMES FOR TWO HOURS
symbols.pdf
formula_sheet.pdf
Unformatted Attachment Preview
X, Y
variables
n
number of people in a research group or sample
N
number of people in target population
ρ
rho (pronounced row)
Σ
sum (sigma)
μ
populational mean (pronounced mu)
M
sample mean (pronounced x bar)
α
alpha
β
beta
≥
greater than or equal to
≤
less than or equal to
σ
populational standard deviation (sigma)
s
sample standard deviation (also will see the symbol, SD)
±
plus/minus
Order of Mathematical Operations
1.
Parentheses (innermost to outermost)
Exponents
2.
3.
Multiplying/dividing
4.
Summation (Σ)
5.
Adding/subtracting
Example:
3(X2-2XY)(2+7X2+X)2+2
(X-Y)(Y-X2)
What order would you do the calculations?
If x = 2 & y = 3
Descriptive Statistics Formula Sheet
Sample
Population
Characteristic
statistic
Parameter
raw scores
x, y, . . . . .
X, Y, . . . . .
mean (central tendency)
M=
μ=
range (interval/ratio data)
∑x
n
highest minus lowest value
deviation (distance from mean)
Deviation = (x − M )
Deviation = (X − μ )
average deviation (average
∑(x − M )
=0
n
∑(X − μ )
N
(∑ x)2
SS = ∑ x −
n
(∑ x)2
∑ x2 −
n = SS
s2 =
n−1
df
(∑ X)2
SS = ∑ X −
N
(∑ X)2
∑ X2 −
N
σ2 =
N
distance from mean)
sum of the squares (SS)
(computational formula)
variance ( average deviation2 or
2
standard deviation )
(computational formula)
2
standard deviation (average
deviation or distance from mean)
(computational formula)
Z scores (standard scores)
s=
Z=
∑X
N
highest minus lowest value
2
(∑ x)2
n
n−1
σ=
x−M
deviation
=
s
stand. dev.
Z=
2
√∑ x −
mean = 0
standard deviation = ± 1.0
X = M + Zs
Area Under the Normal Curve
(∑ X)2
N
N
2
√∑ X −
X−μ
σ
X = μ + Zσ
-1s to +1s = 68.3%
-2s to +2s = 95.4%
-3s to +3s = 99.7%
Using Z Score Table for Normal Distribution
(Note: see graph and table in A-23)
for percentiles (proportion or %) below X
for positive Z scores – use body column
for negative Z scores – use tail column
for proportions or percentage above X
for positive Z scores – use tail column
for negative Z scores – use body column
to discover percentage / proportion between two X values
1. Convert each X to Z score
2. Find appropriate area (body or tail) for each Z score
3. Subtract or add areas as appropriate
4. Change area to % (area × 100 = %)
Regression lines
(central tendency line for all
points; used for predictions
only) formula uses raw
scores
b = slope
a = y-intercept
y = bx + a
(plug in x
to predict y)
b=
(∑ x)(∑ y)
n
(∑
x)2
∑ x2 −
n
∑ xy −
a = My – bMx
where My is mean of y
and Mx is mean of x
SEest (measures accuracy of predictions; same properties as standard deviation)
Pearson Correlation Coefficient
(used to measure relationship;
uses Z scores)
r=
r=
(∑ x)(∑ y)
n
2
2
(∑
x)
2 −(∑ y) )
√(∑ x2 −
y
)(∑
n
n
degree x & 𝑦 𝑣𝑎𝑟𝑦 𝑡𝑜𝑔𝑒𝑡ℎ𝑒𝑟
degree x & 𝑦 𝑣𝑎𝑟𝑦 𝑠𝑒𝑝𝑎𝑟𝑎𝑡𝑒𝑙𝑦
r2 = estimate or % of accuracy of predictions
∑ xy−
…
Purchase answer to see full
attachment
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more