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Exp Design & Data Analysis Quiz II (Correlation, Regression, ANOVA, Post-hoc)

Create a vibrant educational image depicting statistical concepts like correlation, regression, and ANOVA with graphs and data analysis symbols in a classroom setting.

Correlation, Regression, and ANOVA Mastery Quiz

Test your knowledge of key statistical concepts with our engaging quiz focused on correlation, regression, and ANOVA. Whether you are a student looking to reinforce your understanding or a teacher aiming to evaluate students' grasp of these concepts, this quiz is designed for you!

22 challenging questions
Multiple choice and text response formats
Perfect for students, teachers, and data enthusiasts

22 Questions6 MinutesCreated by AnalyzingData101

(1) Correlation is a statistical method used to

A) Determine whether a relationship between variables occurs

B) Describe the nature of the relationship between variables

C) Determine if the nature of the relationship is linear or non-linear

D) All of the above

(2) A coefficient of 0 implies that there is no relationship between the variables:

True

False

(3) r=±1 implies a perfect linear relationship between variables

True

False

(4) The coefficient of determination (R²):

A) Is also named as coefficient of correlation

B) Is between -1 and 1

C) Provides additional information on the direction of the relationship between the variables

D) None of the above

(5) Explanatory variable X, explains or causes changes in the independent variable

True

False

(6) The formula for regression equation is Y’=3x-2. What would be the predicted Y score for a person scoring 4 on X?

A) 5

B) -2

C) 4

D) 10

(7) Suppose it is possible to predict a student’s score on Quiz B from the student’s score on Quiz A. The regression equation is: B’=2.3A + 9.5. What is student’s predicted score on the Quiz B assuming this student obtained a 40 on Quiz A?

A) 100

B) 101.5

C) 100.5

D) None of above

(8) Assuming a student obtained a score of 32.5 on Quiz A and score of 95.25 on Quiz B. Using the same regression equation from the previous question (B’=2.3A+9.5), what is the error of prediction for this student:

(a) 4.78

(b) 11

(d) -4.78

(9) In the simple linear regression model the vertical distance between the line and each data point is named:

(a) Extrapolation value

(b) The intercept

(d) All of the above

(10) Analysis of Variance (ANOVA) is used to verify:

A) Whether or more groups are significantly different from each other

B) The impact of one or more factors by comparing the means of different

C) The null hypothesis (H0) that all groups have the same

D) All of the above

(11) One-way, two-level ANOVA produces exactly the same p value as the classic independent Student t-test

True

False

(12) An ANOVA involving three different grouping variables is called three-way ANOVA

True

False

(13) In a scenario above, the grand mean will be significant enough?

True

False

In case that the distributions are far apart, difference between means and grand mean would be large

True

False

(15) Between group variability, refers to variations caused by differences within individual levels

True

False

(16) The lower the F-Ratio, more similar are the samples and in these cases the null hypothesis (H0) should be rejected

True

False

(17) The omnibus null hypothesis (H₀) when performing ANOVA is that there are differences between group medians; however, no prediction is made concerning where the difference lie

True

False

(18) With four different groups, how many different t-test(s) are necessary to find the differences between the means

A) 8

B) 16

C) 12

D) 4

(19) The Tukey HSD controls the Type I error rate

True

False

(20) Tukey Least Significant Difference (LSD) test is a generalization of Tukey HSD test and handle unbalanced groups

True

False

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