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Using Statistical Regression Methods in Education Research
Home
Using the site
Modules
Mod 2 - Simple Reg
2.1 Overview
2.2 Association
2.3 Correlation
2.4 Coefficients
2.5 Simple Linear Regression
2.6 Assumptions
2.7 SPSS and Simple Linear Regression 1
2.8 SPSS and Simple Linear Regression 2
Quiz
Exercise
Resources
Glossary
About the Authors
Simple Linear Regression Module Quiz
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There are 15 questions here. Click the relevant box or drag and drop the answers as appropriate! Click
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when you’re ready to see the answers. When you want to move on just click
EXIT QUIZ
. Enjoy!
1. A researcher wants to perform a simple linear regression to find out if the socio-economic status of a teacher can predict whether they work at a primary or a secondary school. Why can’t this be done?
Because there are not enough variables for the analysis
Because socio-economic status can not be used as a predictor variable
Because the outcome variable is nominal not continuous
2. Please use the table to decide which of the following statements are true about truancy rates and gender.
There are more males than females included in the sample.
1129 of the 7307 males in the sample have been truant in the last year.
2226 of the 14403 students sampled have been truant in the last year.
Females appear to be disproportionately likely to have been truant in comparison to males.
The table shows a statistically significant difference between male and female exclusion rates.
3. The
SPSS
/PASW output below displays the chi-square test based on the table in the previous question. Can we conclude that males are more likely to have been truant in the last 12 months than females?
Yes
No
Not enough information
4. Please indicate which of the statements about the following graph is true.
KS2
and
KS3
scores are positively correlated
KS2
and
KS3
scores are negatively correlated
KS2
and
KS3
scores are unrelated
5. Please indicate the strength and direction of the relationships described by each of the following values of Pearson’s
r by dragging them into the relevant box
Pearson's r
Strong negative
Weak negative
None
Weak positive
Strong positive
r=0.8
r=-0.09
r=0
r=-0.93
r=-0.73
r=0.06
6. A researcher collects data about students’ anxiety ahead of a spelling test and finds a correlation with test performance,
r
= .17,
p
= .12. Can the researcher conclude that test anxiety is significantly associated with test performance?
Yes
No
7. If a study found that there was a statistically significant strong positive correlatation between attitude to Maths and exam scores it could be concluded that a positive attitude causes better performance.
True
False
8. Under what circumstances is it better to use Spearman’s rho rather than Pearson’s r?
When data is nominal
When data is continuous
When data is ordinal
9. Please match each of the terms below with their definition.
Definition
Regression line
Residual
Coefficient of determination
Outcome variable
The variable the regression model predicts
A representation of the regression model
The difference between an actual outcome value and the value predicted by the model
Represents how much of the outcome the regression model explains
10. The following formula represents a regression model which uses the number of days a student spent revising to predict their score on a Spanish test (%). y = 5x + 15. Please match the explanations with the figures in the boxes by dragging and dropping each one – note each figure may have more than one matching explanation.
Explanation
5
15
17
The value of Y when X is 0 (intercept)
Extra % scored on test with each day spent revising
The number of days revision which the model predicts are necessary to score 100%
The expected exam score if the student did not spend any days revising
The gradient of the regression line
11. Please check next to the statements which are true of regression lines. Note there may be more than one!
A regression line is created by
minimizing
the difference between the line and the data points
A regression line is created by
maximizing
the difference between the line and the data points
A regression line can be used to predict one variable from another
A regression line can be calculated with data from a single variable
12. A simple linear regression using the
LSYPE
data was carried out to try to ascertain if ‘attitude to school’ could predict exam performance at
KS3
.
Using the above table please type in the
percentage
of variance in
KS3
exam scores that ‘attitude to school’ explains.
13. The ANOVA table from the Simple Linear Regression in the previous question tells us that F = 368.1, df = 1, p < .05. What does this mean?
That the regression model is
no better
at predicting
KS3
score than simply using the mean of
KS3
scores.
That the regression model is
better
at predicting
KS3
score than simply using the mean of
KS3
scores.
That there is
not
a significant relationship between
KS3
score and ‘attitude to school’.
14. Below is the
SPSS
output about coeffiecients for the ‘attitude to school’ and
KS3
results regression.
What does the model predict happens to
KS3
score for each one point that the ‘attitide to school’ rating increases?
It increases by 19.186.
It increases by 1.097.
It decreases by 0.056.
15. It is important that the residuals are normally distributed when preforming a regression analysis.
True
False
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