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INSTRUCTIONS “WORD SCRAMBLES”
Instructions: The teacher will present you with scrambled words. Your task is to rearrange the letters to form the correct word.”
1 LCAIRRTOONE Scramble words 1
CORRELATION
2 ETPLRANIIOH DSEIGN SCRAMBLE WORDS 2
RELATIONSHIP DESIGN
3 SOPIVITE SCRAMBLE WORDS 3
POSITIVE
4 GAENIVTE SCRAMBLE WORDS 4
NEGATIVE
5 REOZ SCRAMBLE WORDS 5
ZERO
Learning objective a. identify the types of correlation (Positive,Negative,Zero);
b. understand the different types of correlation;
c. Demonstrate calculating the correlation coefficient and plotting data to identify the correlation type. At the end of the lesson the students shall be able to;
Activity Instructions: Identify if it is Positive correlation, negative correlation or zero correlation.
Negative
Positive
Positive
Zero
Negative
2.How do you determine whether a correlation is positive, negative or zero? 1. What is your insights on the activity I provided? Processing Question
Describing Relationship
There are two ways of describing the relationships of the scores of the students in two or more subjects: using the correlation coefficient and the graphical representation of the scores in the distribution.
Correlation- refers to the extent to which the distributions are linearly related or associated between the two variables. The extent of correlation is indicated numerically by the coefficient of correlation or ®. The correlation coefficient ® is also known as the Pearson Product-Moment Correlation Coefficient in honor of Karl Pearson who developed the said formula. The correlation coefficient ranges from 1 to +1.
There are three kinds of correlation based on correlation coefficient: (1) positive correlation; (2) negative correlation; and (3) zero correlation. There are two ways of identifying the correlation between the two variables: (1) using the formula; and (2) using the scatter plot or scatter gram.
Positive Correlation High scores in distribution x are associated with high scores in distribution y. Low scores in distribution x are associated with low scores in distribution y. This means that as the value of x increases, the value of y increases too or as the value of x decreases, the y-value also decreases.
The scattergram of a positive correlation is shown in figure 1.
Negative Correlation Low scores in distribution x are associated with high scores in distribution y. The High scores in distribution x are associated with low scores in distribution means that as the value of x increases, the value of y decreases or when the value of x decreases, the value of y increases.
The scattergram of a negative correlation shown in figure 2
Zero Correlation As Math scores increase, Science scores decrease. Using the given points in the coordinate plane, a straight line downward to the right can be drawn that is best fitted to all the points. Hence, the slope of the line is negative. Zero correlation means that there is no association between the scores in distribution x and distribution y. No single line can be drawn that best fits to all points, or no discernible pattern can be formed as shown in figure 3
Activity Instructions: Solve the given numerical data, create a scatterplot, and determine whether the correlation is positive, negative, or zero.
Thank You For Listening
Instructions: Fill in the blanks with the correct words.
1. Correlation is a statistical measure that describes the ________ between two variables.
2. A ________ correlation means that as one variable increases, the other also increases.
3. A ________ correlation occurs when one variable increases while the other decreases.
4. If there is no relationship between two variables, it is called a ________ correlation.
5. The correlation coefficient, represented by the letter r, ranges from ________ to ________ .
6. A scatterplot is a graphical representation used to visualize ________ between two variables.
7. The Pearson Product-Moment Correlation Coefficient was developed by ________ .
8. When the points on a scatterplot form an upward trend, it indicates a ________ correlation.
9. When the points on a scatterplot form a downward trend, it indicates a ________ correlation.
10. If the points on a scatterplot show no clear pattern, the correlation is considered ________ .