Pearson's Sample Correlation Coefficient

Pearson’s Sample Correlation Coefficient. Kyzel Anne Balisacan Rochelle Aquino Venus Garol.

Today, we'll look at Pearson's Sample Correlation Coefficient. The next slide will show our report, which was created by Rochelle, Kyzel , and Venus..

01. Let us first pray before we begin our discussion..

Energizer. 04. 03. 02. 01. 04. 03. 02. 01.

Energizer. 04. 03. 02. 01. 04. 03. 02. 01.

Energizer. 04. 03. 02. 01. 04. 03. 02. 01.

Energizer. 04. 03. 02. 01. 04. 03. 02. 01.

Answer:. 04. 03. 02. 01. 04. 03. 02. 01.

Module 12 Recap. Bivariate data deals with two variables that are compared in order to find or establish their relationship. A scotter plot is the most common display of qualitative data. It shows pattern, trends, relationship and possible extraordinary values between the variable..

Introduction of our lesson. This lesson introduces the concept of correlation analysis, direction and strength of correlation, and pearson r..

Direction of Correlation. 04. 03. 02. 01. 04. 03.

Direction of Correlation. Positive correlation - Exists when high values of one variable correspond to high values in other variable or low values in one variable corresponds to low values in the other variable..

Direction of Correlation. Negative Correlation - E xists when high values of one variable corresponds to low values in the other variable or low variables correspond to high values in the other variable..

How can we determine the strength of association based on the Pearson correlation coefficient.

Pearson’s Product-moment Correlation Coefficient.

Perfect Very high Moderately high Moderately low Very low Zero.

The Trend line. 02. It is the line closest to the point. The direction of the lines tells the direction of correlation that exist between the variables. If the trend line points to the right, its shape is positive, thus there is a positive correlation between two variables. If it points to the left, there is a negative correlation between two variables..

Example 1. 04. 03. 02. 01. Example I: Determine the value of Pearson r for the following data and interpret the results. 16 14 10 12 10 20 a) Construct the table shown below 10 16 14 10 12 20 b) Complete the table above by: • Square all entries in the X column and put them under X2 column. Square all entries in the Y column and put them under Y2 column. Multiply entries in X and Y columns and put them in XY column. Get the summation of all entries in X, Y, X2, Y2 and XY column..

04. 03. 02. 01. c) Use the Pearson Product Moment Correlation Formula to solve for r and interpret. Solving for r EX -32 EX2-234 E Y2=1096 E XY = 474 nyxy-EX•EY -(EY)21 5(474) - [5(234) - - (72)21 2370 - 2304 [1170 - 1024115480 — 5184] 66 66 43216 r = 0.32; moderately low but positive.

Example 2. 04. 03. 02. 01. Example 2: Determine the value of Pearson r for the following data and interpret the results. 10 20 30 40 70.

Solving for r. 04. 03. 02. 01. Ex E Y =280 EX2=140 E 14000 EXY = 1400 nEXY-EX•EY 7(1400) - [7(140) - - (280)2] 9800 — 7840 [980 — — 784001 1960 r = 1; Perfect correlation but positive.

ACTIVITIES. 04. 03. 02. 01. 04. 03. 02. 01.

ACTIVITY 1: PRACTICE. 04. 03. 02. 01. Solve for r and interpret the result ..

ACTIVITY 2: : KEEP PRACTICING. 04. 03. 02. 01. In the given table on the below, solve for Pearson r and interpret the result..

ACTIVITY 1: ANSWER. 04. 03. 02. 01. 04. 03. 02. 01.

ACTIVITY 2: ANSWER. 04. 03. 02. 01. 04. 03. 02. 01.

WRAP-UP. 04. 03. 02. 01. 04. 03. 02. 01.

How do you calculate and interpret the Pearson’s Sample Correlation Coefficient?.

04. 03. 02. 01. We will use the measuring devise to determine the strength of the computed r. Pearson r ±0.75 to < ±0.50 to < ±0.75 ±0.25 to < ±0.50 > O to < ±0.25 ualitative Descri tion Perfect Moderatel hi Moderatel low Ve low No correlation.

VALUING. 04. 03. 02. 01. 04. 03. 02. 01.

The correlation coefficient quantifies the relationship between two variables. How about you as a student, are you in favor of quantifying your relationship with your family, friends and community? Is there such thing as quantifying human relationships?.

Thank you for taking the time to watch and listen!.