Chapter 13: Correlation and Regression Basic Stats
If the null hypothesis is true and two variables are not associated with each other the r value should be close to
0
If two variables have a weak relationship, the absolute value of the correlation coefficient will be close to
0
The research hypothesis for a two-tailed Pearson's correlation predicts that the test statistic r will be far from
0.
A negative correlation between two variables indicates that high scores on one variable are associated with ______ scores on the second variable.
low
When, on average, paired z scores tend to have opposite signs the resulting r value is
negative
When, on average, both paired z scores tend to be positive or both paired z scores tend to be negative the resulting r value is
positive.
If an r2 equals .36 it means that 36% of the variability in one variable is
predicted by the variability in the other variable.
If you need to do a Spearman's correlation because the data are monotonic but not linear you need to convert the raw scores to _____ and then use the same steps/formulas that you would use to perform a Pearson's correlation.
ranked scores
If an obtained r value is further from zero than the critical value you should
reject the null hypothesis.
In an APA style reporting statement, the number in parentheses after r is
the df.
A correlation can only be used if the scores on each variable
were paired or linked to each other in some way.
When computing statistics by hand researchers most often use _________ formulas. When trying to understand how a statistic works students will find it easier to work with _________ formulas. However, both formulas will always produce the ________ value(s).
computational; definitional; same
A negative correlation coefficient means that
if someone has a high score on one variable the tend to have a low score on the second variable.
Which of the following are correlations designed to accomplish? Choose 2.
Determine if two variables are associated. Quantify the degree or strength of the association between two variables.
If both variables being analysed are measured on an interval or ratio scale a _______ correlation should be used.
Pearson's
Which of the following statements is true about statistics and causation
No statistics are sufficient evidence for inferring causality.
If one of the variables is measured on an ordinal scale and the other variable is measured on an ordinal, interval or ratio scale a __________ correlation should be used.
Spearman's
If the trend revealed by a scatterplot is not linear but it is monotonic what correlation should be used
Spearman's
In a scatterplot each dot represents
a set of paired of X and Y scores.
Positive z scores represent values that are
above average
The _______ of a z score indicates how much better or worse a given score is than the mean score.
absolute value
A correlation coefficient is used to
determine if, and how, two variables might be related to each other.
A two-tailed critical value should be used when the research hypothesis
does not predict a specific direction for the relationship between the two variables.
When entering data for a correlation analysis in SPSS
each variable is in its own column.
A two-tailed correlation has ______ critical region(s)
two