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33 . What is SS within in this experiment, and what does it mean?

34 . What is SS between in this experiment, and what does it mean?

35 . What are k and i for this experiment?

36 . If SS within = 374.5 and SS total = 621.4 for this data, what is SS between ?

37 . What are MS between , and MS within , for this experiment?

38 . What is the F Statistic for this data?

39 . If there had been 35 calves in each group, instead of 30, with the sums of squares remaining the same, would the F Statistic be larger or smaller?

13.3: facts about the F Distribution

40 . Which of the following numbers are possible F Statistics?

  1. 2.47
  2. 5.95
  3. –3.61
  4. 7.28
  5. 0.97

41 . Histograms F 1 and F 2 below display the distribution of cases from samples from two populations, one distributed F 3,15 and one distributed F 5,500 . Which sample came from which population?

This graph shows a histogram for an F distribution. The right-skewed graph peaks around 0.5. There is a gap from 3 to 4.67 and 3 bars, each with height 1, showing outliers from 4.67 to 5.67.
This graph shows a histogram for an F distribution. The right-skewed graph peaks just before 1. The right tail of the graph consists of 3 bars, each with height 1 and with gaps between each bar.

42 . The F Statistic from an experiment with k = 3 and n = 50 is 3.67. At α = 0.05, will you reject the null hypothesis?

43 . The F Statistic from an experiment with k = 4 and n = 100 is 4.72. At α = 0.01, will you reject the null hypothesis?

13.4: test of two variances

44 . What assumptions must be met to perform the F test of two variances?

45 . You believe there is greater variance in grades given by the math department at your university than in the English department. You collect all the grades for undergraduate classes in the two departments for a semester, and compute the variance of each, and conduct an F test of two variances. What are the null and alternative hypotheses for this study?

Practice test 4 solutions

12.1 linear equations

1 . e. A, B, and C.
All three are linear equations of the form y = mx + b .

2 . Let y = the total number of hours required, and x the square footage, measured in units of 1,000. The equation is: y = x + 4

3 . Let y = the total payment, and x the number of students in a class. The equation is: y = 100( x ) + 2,000

4 . Let y = the total cost of attendance, and x the number of years enrolled. The equation is: y = 3,000( x ) + 500

12.2: slope and y-intercept of a linear equation

5 . The independent variable is the hours worked on a car. The dependent variable is the total labor charges to fix a car.

6 . Let y = the total charge, and x the number of hours required. The equation is: y = 55 x + 75
The slope is 55 and the intercept is 75.

7 . y = 55(3.5) + 75 = 267.50

8 . Because the intercept is included in both equations, while you are only interested in the difference in costs, you do not need to include the intercept in the solution. The difference in number of hours required is: 6.3 – 2.4 = 3.9.
Multiply this difference by the cost per hour: 55(3.9) = 214.5.
The difference in cost between the two jobs is $214.50.

12.3: scatter plots

9 . The X and Y variables have a strong linear relationship. These variables would be good candidates for analysis with linear regression.

10 . The X and Y variables have a strong negative linear relationship. These variables would be good candidates for analysis with linear regression.

11 . There is no clear linear relationship between the X and Y variables, so they are not good candidates for linear regression.

12 . The X and Y variables have a strong positive relationship, but it is curvilinear rather than linear. These variables are not good candidates for linear regression.

Questions & Answers

which kind of work do statistics do
Adamu Reply
how so I know the right answers
Emefa Reply
?
a. l. bowley definition
Monster Reply
what are events in statistics
Animashaun Reply
Like a roll of a dice! Or a coin toss. Or a gender reveal party!
what is statistics
ADAM Reply
can anyone explain it better for me
ADAM
the science of statistics deal with the collection, analysis, interpretation and presentation of data
saquib
I am also studying statistics
saquib
Correlation regression, explain it to me in short.
guillio
correlation is used to find relationship between two and dependent ), regression used for predicting the future by analyzing past data
Arun
correlation is used to find relationship between two variables
Arun
dependent and independent eg. profit is dependent on sales
Arun
Statistics has been designed as the mathematical science of making decisions and drawing conclusions from data in situations of uncertainty. It includes the designings of experiments, collection, organization, summarization snd interpretation of numerical data.
Aliya
excellent Aliya..... good...Arun....
IRFAN
The degree or strength of relationship(interdependence) between the variables is called "correlation ". Examples: heights and weights of children, ages of husbands and ages of wives at the time of their marriages, marks of students in mathematics and in statistics.
Aliya
The dependence of one variable (dependent variable) one one or more independent variables ( independent variables) is called "regression ".
Aliya
simply regression and multiple regression are the types of regression.
Aliya
IRFAN HAIDER thanks
Aliya
hi
nabil
I need help with a math problem
nabil
shoot
umair
9. The scatterplot below relates wine consumption (in liters of alcohol from wine per person per year) and death rate from heart disease (in deaths per 100,000 people) for 19 developed countries.
nabil
For questions e. and f. use the equation of the Least-Square Regression LSR line is: y = −22.97x+260.56 e. Circle the correct choice and fill in the blank in the following statement: As wine consumption increases by 1 liter of alcohol per person per year, the predicted death
nabil
Rate from heart disease increases/decreases by ______deaths per ________people.
nabil
is a scientific study of collection analysis interpretation and also presenting it by researchers.
Murtala
frequency distribution
Wasim Reply
noun STATISTICS a mathematical function showing the number of instances in which a variable takes each of its possible values.
Robin
ok
ADAM
Common language-- taking a bunch of information and seeing if it is related or not to other info
Mandy
Does standard deviation have measuring unit?
Mohamed
yes, the measuring unit of the data you are looking at, for example centimetres for height.
Emma
thanks
Mohamed
is that easy to plot a graph between three axis?
Mohamed
yes we can but we do not have that much effective tools. If the graph is normal or less complicated then it is plotted effectively otherwise it will give you nightmare.
umair
whats the difference between discrete and contineous data
umar
Discrete variables are variables that can assume finite number of values. Continuous variables are variables that can assume infinite number of values
Mike
i will give you an example: {0,4,84} it contains discrete or limited values like it can also contain boolean values{true,false} or {0,1} and continuous are like {1,2,3,4,5......} , {0,0.1,0.2,0.3,0.4...........}
umair
a no. of values which are countable are called discrete variables on the other hand, a no. of values which are not countable are called continuous variables
Aliya
Yup, I would like to support Mr.Umair's argument by saying that it can only apply if we have a 3-D graph,otherwise a plane graph will not apply at all
festus
Aliya and Mike thnks to both of you ❤❤
umar
what's variance
Sulaiman Reply
what's case control study?
Shakilla
hi
Noman
?
Sulaiman
what is covariance
Florence Reply
In probability theory and statistics, covariance is a measure of the joint variability of two random variables.[1] If the greater values of one variable mainly correspond with the greater values of the other variable, and the same holds for the lesser values, (i.e., the variables tend to show simila
Robin
Economics department, faculty of social sciences, NOUN. You are required to calculate: the covariance and State whether the covariance is positive or negative. (11½ marks) Observation E D 1 15 17.24 2 16 15.00 3 8 14.91 4 6 4.50 5 15 18.00 6 12 6.29 7 12 19.23 8 18 18.69 9 12 7.21 10 20 4
Florence
In probability theory and statistics, covariance is a measure of the joint variability of two random variables.
Robin
what is the purpose of statistics and why it is important that statistics to be a solo and one complete field?
Edu-info Reply
to organize,analyze and interpret information in order to make decision
Berema
what is noun?
Katama Reply
so simple. the name of any person,place or thing.
Edu-info
Using the Chi-square test, two coins were flipped a hundred times. What will be the chances of getting a head and getting a tale? Given observed values is 62 heads and 38 tails. Expected value is 50 heads, 50 tails. Is the difference due to chance or a significant error? a. Draw your hypothesis
DokBads Reply
how can I win
Jagogo Reply
what is difference between the blocking and confounding
Rukhsana Reply
how do you get 2/50 ?
CL Reply
can you explained it for me
korankye
an easier definition of inferential statistics
Kenedy Reply
Inferential statistics makes inferences and predictions about a population based on a sample of data taken from the population in question.
Rukhsana
Inferential statistics helps you to extract insights from a random sample data which then helps you to use specific predictive Modeling/machine learning technic to predict or forecast.
Manish
what is stemplot? can anyone explain?
Javokhirbek

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Source:  OpenStax, Introductory statistics. OpenStax CNX. May 06, 2016 Download for free at http://legacy.cnx.org/content/col11562/1.18
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