The positive sign shows the direction, and indicates a relatively strong relationship.
Incorrect! Try again.
13What does multiple correlation examine?
multiple correlation
Easy
A.One variable and one score
B.One rank and one frequency
C.One criterion and several predictors
D.Two group averages
Correct Answer: One criterion and several predictors
Explanation:
Multiple correlation examines the relationship between one criterion variable and two or more predictor variables.
Incorrect! Try again.
14What symbol commonly represents the multiple correlation coefficient?
multiple correlation
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The uppercase letter is commonly used for the multiple correlation coefficient.
Incorrect! Try again.
15How many predictor variables are required for multiple correlation?
multiple correlation
Easy
A.Exactly one
B.At least two
C.No variables
D.Exactly ten
Correct Answer: At least two
Explanation:
Multiple correlation uses two or more predictor variables to relate to one criterion variable.
Incorrect! Try again.
16What is the usual range of the multiple correlation coefficient ?
multiple correlation
Easy
A. to
B. to
C. to
D. to
Correct Answer: to
Explanation:
The multiple correlation coefficient is nonnegative and ranges from to .
Incorrect! Try again.
17A multiple correlation of indicates what?
multiple correlation
Easy
A.A negative prediction
B.A rank difference
C.Perfect prediction
D.No linear prediction
Correct Answer: No linear prediction
Explanation:
An value of indicates no linear relationship between the criterion and the set of predictors.
Incorrect! Try again.
18What type of data is especially suitable for Spearman's rank-order correlation?
Spearman's rank-order correlation
Easy
A.Nominal labels
B.Raw text only
C.Unordered names
D.Ranked data
Correct Answer: Ranked data
Explanation:
Spearman's correlation is designed for ranked or ordinal data.
Incorrect! Try again.
19What symbol commonly represents Spearman's rank-order correlation?
Spearman's rank-order correlation
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Spearman's rank-order correlation is commonly represented by the Greek letter .
Incorrect! Try again.
20Spearman's rank-order correlation is based mainly on what?
Spearman's rank-order correlation
Easy
A.Population variances
B.Sample frequencies
C.Ranks of observations
D.Raw group means
Correct Answer: Ranks of observations
Explanation:
Spearman's method calculates the relationship using the ranks of observations rather than only their raw scores.
Incorrect! Try again.
21A researcher finds that as daily stress increases, sleep quality tends to decrease in a fairly consistent pattern. What type of correlation is most appropriate?
types of correlation
Medium
A.Positive correlation
B.Zero correlation
C.Perfect curvilinear correlation
D.Negative correlation
Correct Answer: Negative correlation
Explanation:
A negative correlation occurs when higher values of one variable are associated with lower values of the other.
Incorrect! Try again.
22The relationship between arousal and performance is low at very low and very high arousal but highest at moderate arousal. Which type of relationship does this illustrate?
types of correlation
Medium
A.Negative linear correlation
B.Zero-order correlation
C.Curvilinear correlation
D.Positive linear correlation
Correct Answer: Curvilinear correlation
Explanation:
A curvilinear relationship changes direction or follows a curved pattern rather than a straight-line pattern.
Incorrect! Try again.
23If two psychological variables have a correlation of , which conclusion is most justified?
types of correlation
Medium
A.The variables have no linear relationship
B.The variables are measured with perfect reliability
C.The variables have no relationship of any kind
D.The variables have an exact inverse relationship
Correct Answer: The variables have no linear relationship
Explanation:
A correlation of zero indicates no linear association, but a nonlinear relationship may still exist.
Incorrect! Try again.
24A scatterplot shows points closely following a downward-sloping straight line. Which description best fits the relationship?
types of correlation
Medium
A.Weak negative curvilinear correlation
B.Strong negative linear correlation
C.Strong positive linear correlation
D.Weak positive linear correlation
Correct Answer: Strong negative linear correlation
Explanation:
A close downward pattern indicates that the variables have a strong negative linear association.
Incorrect! Try again.
25A study reports a correlation between study time and examination scores. Which statement is the most appropriate interpretation?
types of correlation
Medium
A.Higher study time is associated with higher scores
B.Study time definitely causes higher scores
C.The variables must have identical measurement scales
D.Higher scores necessarily cause more study time
Correct Answer: Higher study time is associated with higher scores
Explanation:
Correlation describes association and does not by itself establish a causal direction.
Incorrect! Try again.
26What does Pearson's correlation coefficient primarily measure?
Pearson's correlation coefficient correlation
Medium
A.The difference between two sample means
B.The statistical significance of a single mean
C.The percentage of participants in each category
D.The strength and direction of a linear relationship
Correct Answer: The strength and direction of a linear relationship
Explanation:
Pearson's summarizes both the direction and strength of a linear association between two quantitative variables.
Incorrect! Try again.
27A sample produces between social anxiety and number of social interactions. Which interpretation is best?
Pearson's correlation coefficient correlation
Medium
A.A strong positive linear relationship exists
B.There is no relationship because the value is negative
C.A moderate-to-strong negative linear relationship exists
D.Exactly of interactions are caused by anxiety
Correct Answer: A moderate-to-strong negative linear relationship exists
Explanation:
The negative sign indicates direction, while the magnitude of indicates a fairly strong linear association.
Incorrect! Try again.
28If , what proportion of variance is explained by the linear relationship?
Pearson's correlation coefficient correlation
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The coefficient of determination is , or .
Incorrect! Try again.
29Which value indicates the strongest linear relationship between two variables?
Pearson's correlation coefficient correlation
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Strength is determined by the absolute value of . Since is largest, it represents the strongest relationship.
Incorrect! Try again.
30Which situation is most likely to make Pearson's correlation misleading?
Pearson's correlation coefficient correlation
Medium
A.The relationship appears approximately linear
B.Both variables are quantitative
C.The sample includes independent observations
D.The scatterplot contains a major outlier
Correct Answer: The scatterplot contains a major outlier
Explanation:
Pearson's is sensitive to extreme observations, which can substantially change the value and interpretation of the coefficient.
Incorrect! Try again.
31If every participant's score on one variable is converted from minutes to seconds, what happens to Pearson's ?
Pearson's correlation coefficient correlation
Medium
A.It becomes exactly twice as large
B.Its sign changes from positive to negative
C.Its value remains unchanged
D.It becomes half as large
Correct Answer: Its value remains unchanged
Explanation:
Pearson's correlation is unaffected by positive changes in measurement units, such as converting minutes to seconds.
Incorrect! Try again.
32A researcher obtains from a sample of 20 participants. Which statement is most accurate?
Pearson's correlation coefficient correlation
Medium
A.The relationship is necessarily statistically significant in every population
B.The relationship is positive and moderate in the sample
C.The relationship proves that one variable causes the other
D.The relationship explains exactly of the outcome variance
Correct Answer: The relationship is positive and moderate in the sample
Explanation:
The coefficient indicates a moderate positive sample association. It does not prove causation or guarantee statistical significance.
Incorrect! Try again.
33What does a multiple correlation coefficient, usually denoted by , describe?
multiple correlation
Medium
A.The difference between several independent group means
B.The association between two ranks after removing ties
C.The reliability of one psychological test score
D.The association between one criterion and several predictors together
Correct Answer: The association between one criterion and several predictors together
Explanation:
Multiple correlation assesses how well a set of predictors jointly relates to or predicts one criterion variable.
Incorrect! Try again.
34A regression model predicts academic performance from conscientiousness, prior achievement, and study hours. What does represent?
multiple correlation
Medium
A.The correlation between the two strongest predictors
B.The number of predictors included in the model
C.The proportion of criterion variance explained jointly by the predictors
D.The mean prediction error in the model
Correct Answer: The proportion of criterion variance explained jointly by the predictors
Explanation:
indicates the proportion of variance in the criterion that is accounted for by the predictors considered together.
Incorrect! Try again.
35A multiple correlation coefficient is reported as . What is the corresponding coefficient of determination?
multiple correlation
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The coefficient of determination is , meaning of criterion variance is explained jointly.
Incorrect! Try again.
36Which statement about the multiple correlation coefficient is correct?
multiple correlation
Medium
A. can range from to
B. must equal the largest predictor-criterion correlation
C. can range from to
D. is unaffected by adding any new predictor
Correct Answer: can range from to
Explanation:
Multiple represents the magnitude of the relationship between the criterion and the combined predictors, so it ranges from to $1.
Incorrect! Try again.
37When a second predictor is added to a multiple regression model, the ordinary will generally:
multiple correlation
Medium
A.Become equal to zero
B.Always decrease
C.Change its sign
D.Stay the same or increase
Correct Answer: Stay the same or increase
Explanation:
Adding predictors cannot reduce the ordinary sample , although the increase may be very small or due partly to chance.
Incorrect! Try again.
38Spearman's rank-order correlation is most appropriate when the variables are:
Spearman's rank-order correlation
Medium
A.Nominal categories with no ordering
B.Repeated measurements from one person only
C.Ordinal ranks or nonnormally distributed scores
D.Means from unrelated experimental groups
Correct Answer: Ordinal ranks or nonnormally distributed scores
Explanation:
Spearman's correlation evaluates the monotonic association between ranked or ordinal variables and is less dependent on normality.
Incorrect! Try again.
39Six students receive the same ordering of ranks for motivation and attendance. What is Spearman's rank correlation likely to be?
Spearman's rank-order correlation
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Identical rank ordering represents a perfect positive monotonic association, so Spearman's coefficient is .
Incorrect! Try again.
40For six cases, the differences between paired ranks have squared values that sum to . Using , what is ?
Spearman's rank-order correlation
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
With , .
Incorrect! Try again.
41A researcher observes that stress rises with workload up to a moderate level, but among employees with extremely high workload, stress scores plateau because of emotional disengagement. Which type of association is most appropriate for describing the overall relationship?
types of correlation
Hard
A.A positive linear correlation
B.A nonlinear correlation
C.A zero-order correlation
D.A negative linear correlation
Correct Answer: A nonlinear correlation
Explanation:
The direction or rate of change is not constant across the range of workload, so a linear coefficient may fail to represent the relationship adequately.
Incorrect! Try again.
42Variable increases as variable increases, but the increases become progressively smaller. Which statement is most accurate?
types of correlation
Hard
A.The variables have no correlation
B.The variables have a positive nonlinear association
C.The variables have a perfect negative association
D.The variables have a positive partial association
Correct Answer: The variables have a positive nonlinear association
Explanation:
Both variables move in the same direction, but the changing rate of increase indicates a nonlinear rather than strictly linear relationship.
Incorrect! Try again.
43In a sample, anxiety and performance show a strong positive correlation within low-anxiety participants and a strong negative correlation within high-anxiety participants. The aggregate correlation is close to zero. What is the best interpretation?
types of correlation
Hard
A.There is no relationship at any anxiety level
B.The variables must have a perfect curvilinear relationship
Correct Answer: The aggregate coefficient masks subgroup-specific relationships
Explanation:
Opposite relationships in subgroups can cancel in the aggregate, making the overall coefficient misleading.
Incorrect! Try again.
44If every score on is transformed to while is unchanged, what happens to Pearson's correlation?
Pearson's correlation coefficient correlation
Hard
A.Its sign and magnitude both change
B.It becomes zero unless is standardized
C.Its sign reverses but magnitude is unchanged
D.Its magnitude triples
Correct Answer: Its sign reverses but magnitude is unchanged
Explanation:
Adding a constant and multiplying by a positive value do not alter correlation; multiplication by a negative value reverses its sign.
Incorrect! Try again.
45A dataset has Pearson correlation . One observation is deleted, and the new correlation is . Which conclusion is justified?
Pearson's correlation coefficient correlation
Hard
A.The variables changed from interval to nominal measurement
B.The original correlation was necessarily computed incorrectly
C.The new correlation must be statistically significant
D.The deleted observation was influential for the correlation
Correct Answer: The deleted observation was influential for the correlation
Explanation:
A large change after deleting one case indicates that the observation had substantial influence, often because it was an outlier or had high leverage.
Incorrect! Try again.
46Suppose , , and . What is the least-squares regression slope for predicting from ?
Pearson's correlation coefficient correlation
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The slope is .
Incorrect! Try again.
47A study reports between therapy attendance and symptom improvement. Which statement is most defensible?
Pearson's correlation coefficient correlation
Hard
A.The linear association accounts for approximately of variance
B.The association is necessarily free from third-variable influence
C.Attendance causes of all symptom variation
D.Approximately of participants improved because of attendance
Correct Answer: The linear association accounts for approximately of variance
Explanation:
The coefficient of determination is , or about , but this does not establish causation.
Incorrect! Try again.
48A scatterplot shows a strong U-shaped relationship between study time and exam performance. Pearson's is approximately zero. What does this result primarily indicate?
Pearson's correlation coefficient correlation
Hard
A.There is little or no linear association
B.The variables have no systematic relationship
C.The variables are statistically independent
D.The sample must contain identical scores
Correct Answer: There is little or no linear association
Explanation:
Pearson's correlation measures linear association and can be near zero when a strong curvilinear relationship exists.
Incorrect! Try again.
49For a bivariate normal population, a researcher tests with and obtains . Using , which conclusion is closest?
Pearson's correlation coefficient correlation
Hard
A., not significant at the .05 level
B., significant at the .05 level
C., significant at the .05 level
D., significant at the .01 level
Correct Answer: , significant at the .05 level
Explanation:
with degrees of freedom, which exceeds the two-tailed .05 critical value of about .
Incorrect! Try again.
50If the reliability of is .64 and the reliability of is .81, and the observed correlation is .36, what is the estimated disattenuated correlation?
Pearson's correlation coefficient correlation
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The corrected correlation is .
Incorrect! Try again.
51A criterion correlates with predictors and at and , while . What is the squared multiple correlation?
multiple correlation
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
For two predictors, .
Incorrect! Try again.
52A predictor correlates with a criterion at . After adding a second predictor, the multiple correlation is . What does the second predictor contribute?
multiple correlation
Hard
A.It proves the predictors are perfectly correlated
B.It contributes no incremental linear prediction
C.It reverses the first predictor's regression weight
D.It increases explained variance by
Correct Answer: It contributes no incremental linear prediction
Explanation:
The first predictor alone has , and the full model also has , so the second predictor adds no incremental explained variance.
Incorrect! Try again.
53A model with three predictors has . The zero-order correlations between the criterion and the predictors are all positive. Which conclusion is still possible?
multiple correlation
Hard
A.The predictors must be mutually uncorrelated
B.At least one standardized regression coefficient may be negative
C.The criterion must be measured on a nominal scale
D.Every standardized regression coefficient must be positive
Correct Answer: At least one standardized regression coefficient may be negative
Explanation:
With correlated predictors, suppression or multicollinearity can produce a negative unique regression weight even when all zero-order correlations are positive.
Incorrect! Try again.
54Two predictors correlate at , and each correlates with at approximately . What is the primary statistical concern?
multiple correlation
Hard
A.The criterion cannot be predicted linearly
B.The multiple correlation must equal zero
C.The predictors are likely affected by multicollinearity
D.The regression model has no intercept
Correct Answer: The predictors are likely affected by multicollinearity
Explanation:
Very high intercorrelation among predictors makes unique regression coefficients unstable and difficult to interpret.
Incorrect! Try again.
55A regression model's rises from .36 to .49 when two predictors are added. Which statement is correct?
multiple correlation
Hard
A.The added predictors provide a percentage-point increment in explained variance
C.The correlation between added predictors is necessarily zero
D.The model's residual variance increases by
Correct Answer: The added predictors provide a percentage-point increment in explained variance
Explanation:
The incremental contribution is , although the two predictors may share explanatory variance.
Incorrect! Try again.
56For six participants with no tied ranks, the squared rank differences sum to . What is Spearman's rank-order correlation?
Spearman's rank-order correlation
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
.
Incorrect! Try again.
57A researcher ranks five observations on two variables. The rank pairs are . What is ?
Spearman's rank-order correlation
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
The squared rank differences are , so .
Incorrect! Try again.
58When tied ranks occur, which procedure is generally most appropriate for computing Spearman's correlation?
Spearman's rank-order correlation
Hard
A.Assign average ranks and correlate the rank variables
B.Assign arbitrary distinct ranks to tied observations
C.Use raw scores without any ranking
D.Delete all observations involved in ties
Correct Answer: Assign average ranks and correlate the rank variables
Explanation:
Average ranks preserve the tied ordering and allow Spearman's coefficient to be computed as the Pearson correlation between the rank-transformed variables.
Incorrect! Try again.
59Which pattern can produce a high Spearman correlation but a much smaller Pearson correlation?
Spearman's rank-order correlation
Hard
A.A perfectly linear relationship with no outliers
B.A random permutation of identical rank pairs
C.A monotonic but strongly curved relationship
D.Two independent variables with equal variances
Correct Answer: A monotonic but strongly curved relationship
Explanation:
Spearman's coefficient captures monotonic ordering, whereas Pearson's coefficient can be reduced when the monotonic relationship is substantially nonlinear.
Incorrect! Try again.
60If every rank on one variable is transformed from to , while the other variable remains unchanged, what happens to Spearman's correlation?
Spearman's rank-order correlation
Hard
A.It changes only when ties are present
B.Its magnitude doubles
C.Its sign reverses but magnitude is unchanged
D.It becomes zero for every dataset
Correct Answer: Its sign reverses but magnitude is unchanged
Explanation:
Reversing ranks is a negative linear transformation of the rank variable, so the correlation changes sign while retaining its absolute value.
Incorrect! Try again.
Did this save you a night before the exam?
LPU Notes is free, and it stays free. Ads cover part of the server bill.
The rest comes out of a student's own pocket: the domain, the storage,
and keeping the site up through the weeks everyone needs it at once.
The payment button didn't load. An ad blocker or a filtered network is the usual reason.
to try again.
Nothing here is ever locked, and nothing unlocks. Chip in only if it was worth it.
What it pays for →