# Correlation Study In Statistical Analysis

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Tanya Mishra
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Questions: 10 | Attempts: 681  Settings  The correlations study in statistical analysis measures the possibility of a relationship between the two statistical datasets. It's an essential aspect of statistical analysis. Do you know enough about this exciting statistical concept? If yes, then why not try taking this quiz for fun? We bet you'll be able to ace the quiz with ease! Please make sure to read the questions carefully before answering. You can even use this quiz to prep for your upcoming statistical examinations. With knowledge & fun, you get the best of both worlds! Good Luck!

• 1.

### Who discovered correlation analysis

• A.

Sir Francis Galton

• B.

Alfred Binet

• C.

Alphonse Bertillon

A. Sir Francis Galton
Explanation
Sir Francis Galton is credited with discovering correlation analysis. He was a British scientist and cousin of Charles Darwin. Galton developed the concept of correlation to measure the relationship between two variables. He conducted extensive research on heredity and statistical analysis, and his work laid the foundation for modern correlation analysis. Galton's contributions to the field of statistics and his development of correlation analysis have had a lasting impact on various scientific disciplines.

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• 2.

### The principle that presumed "cause" must be shown to have occurred before the presumed "effect" is known as what?

• A.

Temporal Precedence

• B.

Covariation

• C.

Counternull statistic

• D.

Correlation Coefficient

A. Temporal Precedence
Explanation
Temporal precedence refers to the principle that the presumed cause must occur before the presumed effect. In other words, there should be a clear temporal order between the cause and the effect. This principle is important in establishing causal relationships and determining the directionality of the relationship between variables. Without temporal precedence, it would be difficult to determine whether a particular event or factor is truly causing an effect or if it is the other way around.

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• 3.

### What is the range of the Correlation Coefficient?

• A.

+1.00 to -1.00

• B.

+2.00 to -2.00

• C.

+3.00 to -3.00

• D.

+100 to -100

A. +1.00 to -1.00
Explanation
The range of the Correlation Coefficient is +1.00 to -1.00. This means that the correlation coefficient can take values between +1.00 and -1.00, inclusive. A correlation coefficient of +1.00 indicates a perfect positive linear relationship between two variables, while a correlation coefficient of -1.00 indicates a perfect negative linear relationship. A correlation coefficient of 0 indicates no linear relationship between the variables.

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• 4.

### A correlation coefficient of 0.5 in the dataset suggests what?

• A.

X‐coordinate is about half of the y‐coordinate

• B.

X increases, y also increases

• C.

X increases, y stays the same

• D.

None of the above

B. X increases, y also increases
Explanation
A correlation coefficient of 0.5 suggests that there is a moderate positive linear relationship between the x and y variables in the dataset. This means that as the x variable increases, the y variable also tends to increase, but not necessarily at a 1:1 ratio.

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• 5.

### A graph that is represented by ordered pairs(x, y), allows one to see if relationships exist between two variables is known as what?

• A.

Criterion variable

• B.

Predictor variable graph

• C.

Scatter Plots

• D.

None of the above

C. Scatter Plots
Explanation
A scatter plot is a graph that represents relationships between two variables using ordered pairs (x, y). It allows us to visually analyze the relationship between the variables and determine if any patterns or trends exist. Therefore, the correct answer is Scatter Plots.

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• 6.

### If the value of the coefficient of determination is 0.64, then what is the value of the correlation coefficient?

• A.

0.80

• B.

–0.80

• C.

–0.80 or 0.80

• D.

None of the above

C. –0.80 or 0.80
Explanation
The coefficient of determination (R-squared) is a measure of how well the regression model fits the observed data. It represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. The square root of the coefficient of determination is equal to the absolute value of the correlation coefficient. Therefore, if the coefficient of determination is 0.64, the correlation coefficient can be either 0.80 or -0.80.

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• 7.

### The Standard of the linear relationship is determined by what?

• A.

Regression line

• B.

Hypothesis

• C.

Continuous variable

• D.

Pearsons r

D. Pearsons r
Explanation
Pearson's r, also known as Pearson's correlation coefficient, measures the strength and direction of the linear relationship between two continuous variables. It ranges from -1 to +1, where -1 indicates a perfect negative linear relationship, +1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship. Therefore, Pearson's r is used to determine the standard of the linear relationship between variables.

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• 8.

### Accepting the null hypothesis when it is false is what kind of error?

• A.

Type I Error

• B.

Type II error

• C.

Type III error

• D.

None of the above

B. Type II error
Explanation
Type II error is the correct answer. This error occurs when the null hypothesis is incorrectly accepted, meaning that the researcher fails to reject the null hypothesis even though it is actually false. In other words, it is a false negative result, where the researcher concludes that there is no effect or relationship when there actually is. This error is often associated with a lack of statistical power or a small sample size, which increases the likelihood of failing to detect a true effect.

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• 9.

### What is the value of One-tailed p?

• A.

0.025

• B.

0.05

• C.

0

• D.

+1.00 to -1.00

A. 0.025
Explanation
The value of One-tailed p is 0.025. This value represents the significance level or the probability of obtaining a test statistic as extreme as the one observed, assuming the null hypothesis is true. In hypothesis testing, a significance level of 0.025 indicates a 2.5% chance of observing such extreme results by chance alone, leading to the rejection of the null hypothesis.

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• 10.

### What is the other name of the statistical hypothesis?

• A.

Null hypothesis

• B.

Power analysis

• C.

Product-moment correlation

• D.

None of the above

A. Null hypothesis
Explanation
The null hypothesis is the other name for the statistical hypothesis. It is a statement that assumes there is no significant difference or relationship between variables in a population. It is used in hypothesis testing to determine if the alternative hypothesis can be accepted or rejected based on the evidence from the sample data. Power analysis refers to the calculation of statistical power, while product-moment correlation is a statistical measure of the strength and direction of the linear relationship between two variables. Therefore, neither power analysis nor product-moment correlation are alternative names for the statistical hypothesis.

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