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WorksheetsCorrelation and Coefficient of Determination
Total questions: 15
Worksheet time: 8mins
Correlation analysis is
univariate analysis.
bivariate analysis.
multivariate analysis.
both bivariate and multivariate analysis.
Which one is NOT appropriate to use to study the association between variables?
Scatterplot.
Pie chart.
Correlation.
Regression.
Describe the relationship.
Positive linear relationship.
Negative linear relationship.
Positive curvilinear relationship.
Negative curvilinear relationship.
Two variables have a positive association when
the value of one variable tends to increase as the other variable increases.
the value of one variable tends to increase as the other variable decreases.
the value of one variable tends to increase regardless how the other variable change.
the values of both variables are always positive.
The correlation coefficient, r is used to determine
y values given values of x.
x values given values of y.
the strength and direction of relationship between x and y.
none of these.
If there is a strong correlation, the value of r must be
any value larger than 1.
closer to -1 if the correlation is negative.
closer to 0 if the correlation is positive.
none of these.
The correlation coefficient
is the same as r2.
can never be negative.
is the square of coefficient of determination.
is the square root of coefficient of determination.
Coefficient of correlation lies between
0 and +1
0 and -1
-1 and +1
-5 and +5
If two variables, x and y, have a very strong linear relationship, then
there is evidence that x causes a change in y.
there is evidence that y causes a change in x.
there might not be any causal relationship between x and y.
None of these alternatives is correct.
If the coefficient of determination is 0.81, the correlation of coefficient is
0.6561.
must be positive.
must be negative.
could be either +0.9 or -0.9.
Which of these variables could we use Pearson's correlation to measure the relationship?
Height and weight.
Eye colour and hair colour.
Gender and choice of casual attire.
Political party and opinion about the economy.
The correlation between two variables is r=0.5. Which of the statement is correct?
Average values of y changes by 0.5 when x is increased by 1.
Average values of x changes by 0.5 when y is increased by 1.
x explains 25% of the variation in y.
y explains 25% of the variation in x.
r = +1 indicates a
perfect positive correlation.
perfect negative correlation.
high degree of positive correlation.
high degree of negative correlation.
If the correlation coefficient r between blood pressure and weight is 0.7,
it is a moderate positive relationship.
49% of the variation in weight can be explained by the variation in the blood pressure.
51% of the variation in weight is due to other factors than the blood pressure.
All of the above.
If the correlation coefficient, r = -1.0
all the points on the scatterplot must fall exactly on a straight line with a positive slope.
all the points on the scatterplot must fall exactly on a straight line with a negative slope.
all the points on the scatterplot must fall exactly on a straight horizontal line.
all the points on the scatterplot must fall exactly on a straight vertical line.
