In: Statistics and Probability
I would like to know if my answers are correct:
•Suppose you conducted a survey, and you calculated a correlation
between two of the responses of your survey. You got an r value of
10. Which of the following could explain this? choose a
a.You made a mistake in your calculation.There is no way to get an
r value of 10.
b.The numbers you put in for x and y aren't appropriate for this statistical technique.
c.The variables x and y are highly correlated, with a p value of less than 0,00001
d.You didn't collect enough data
•In a survey on how much time university students
spend online, for which of the following data sets would it make
sense to compute Pearson's r? (Each answer represents the questions
you would ask your survey participants.) choose a
a. Which social media platform you O prefer, and how many minutes
per day you spend on social media.
b.Your gender, your student status, and which social media platform you prefer.
c. How many minutes per day you spend on your phone, and how many minutes per day you spend on your laptop.
d. Whether you consider yourself liberal, conservative, or neither, and whether you work more on a phone or on a laptop.
•In a survey, each participant indicated how much they
agreed with the statement, "Hard work is the way to get what you
want in life." Which of the following would you expect to have zero
correlation, or close to zero correlation, with the response to the
above statement? I choose c
a.Agreement with the statement, "Happiness mostly depends on
luck."
b. Conscientiousness score on a personality inventory test.
c. High school GPA.
d. A random number between 0 and chosen by the participant.
• Which of the following would you expect to be positively correlated with a person’s longevity (length of life)? I choose B
a.The number of cigarettes they Smoke per day
.b.The number of minutes of exercise they get per day.
c.The number of friends they have on facebook.
d.The number of home runs in the World Series in the year they were born.
•It is important to know that "Causation is not the same as Correlation." Which of the following gives a reason that causation is not the same as correlation? a choose d
a.Correlation is only a number between -1 and 1.
b. Sometimes the two variables with a correlation are both the
results of a third factor or variable.
c. Even with a strong statistical correlation, there are usually
some people who don't fit the pattern.
d. All of the above.
•Maria gives a spelling test to a group of 5th graders, a group of 8th graders, and a group of 12th graders. She uses ANOVA to compare the mean scores of the three groups. When she enters the data, she puts in the 5th graders as "Treatment 1", the 8th graders as "Treatment 2", and the 12th graders as "Treatment 3". After she records the results of the calculation, she wonders whether it would make a difference if she put the 12th graders as "Treatment 1", the 8th graders as "Treatment 2", and the 5th graders as "Treatment 3". If she made that change, which of the following parts of the calculation would change?
a. the p value
b.sswithin and ssbetween
c.SStotal
d.none of the above
•Suppose you conducted a survey, and you calculated a correlation between two of the responses of your survey. You got an r value of 10. Which of the following could explain this?
answer is given below:
a.You made a mistake in your calculation.There is no way to get an
r value of 10.
Reason:-
correlation coefficient can not exceed unity numerically. it always lies between -1 and +1.
if r=1, the correlation is perfect and positive
if r=-1 , correlation is perfect and negative.
•In a survey on how much time university students spend online, for which of the following data sets would it make sense to compute Pearson's r?
answer:-
a. Which social media platform you O prefer, and how many minutes per day you spend on social media.
Reason:-
because in Pearson's correlation coefficient we calculate relationship between two variables.
and in this question we get two variables as which social media platform you prefer as X and another variable as how many minutes per day you spend on social media as Y. which gives relationship in these two variales.
•In a survey, each participant indicated how much they agreed with the statement, "Hard work is the way to get what you want in life." Which of the following would you expect to have zero correlation, or close to zero correlation, with the response to the above statement?
Answer:-
d. A random number between 0 and 1 chosen by the participant.
Reason:-
zero correlation means that there is no relationship between those 2 variables.
because in choosing a random number we dont have any relationship with Hard work.
but in all other options such as , high school GPA you need to work hard as well as in Conscientiousness score on a personality inventory test.
• Which of the following would you expect to be positively correlated with a person’s longevity (length of life)?
answer:-
b.The number of minutes of exercise they get per day.
Reason:-
positively correlation means that both varibles either increasing or decreasing simultaneosuly. and in this example we see that more we keep ourselves fit by the number of minutes of exercise it increase the length of life.
•It is important to know that "Causation is not the same as Correlation." Which of the following gives a reason that causation is not the same as correlation?
answer:-
d. All of the above
•Maria gives a spelling test to a group of 5th graders, a group of 8th graders, and a group of 12th graders. She uses ANOVA to compare the mean scores of the three groups. When she enters the data, she puts in the 5th graders as "Treatment 1", the 8th graders as "Treatment 2", and the 12th graders as "Treatment 3". After she records the results of the calculation, she wonders whether it would make a difference if she put the 12th graders as "Treatment 1", the 8th graders as "Treatment 2", and the 5th graders as "Treatment 3". If she made that change, which of the following parts of the calculation would change?
answer:-
b.sswithin and ssbetween