MATLAB: An Introduction with Applications
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Calculate least squares regression using this information
Transcribed Image Text:**Exploring the Relationship between Religiosity and Thought Suppression**
An experimental psychology student conducted a study to explore a potential relationship between religiosity and thought suppression. Religiosity is defined as the degree to which a person holds strong religious beliefs, while thought suppression is the extent to which a person intentionally avoids thinking about specific topics.
For this study, the student administered two short questionnaires to five friends. One assessed religiosity, and the other evaluated the tendency toward thought suppression. Below is the data collected:
| **Religiosity (X)** | **Suppression (Y)** | **X²** | **Y²** | **XY** |
|--------------------|---------------------|--------|--------|--------|
| 7 | 5 | 49 | 25 | 35 |
| 5 | 4 | 25 | 16 | 20 |
| 9 | 5 | 81 | 25 | 45 |
| 8 | 3 | 64 | 9 | 24 |
| 2 | 2 | 4 | 4 | 4 |
| **Σ** | **31** | **19** | **223**| **79** | **128** |
**Instructions for Analysis**
To analyze this data, calculate the slope and intercept for the least squares regression line that predicts thought suppression from religiosity. Use the formulas provided, ensuring to include the final calculated answer. Replicate the formulas with the correct values.
This analysis will help determine if there is a statistical correlation between the two variables, providing insight into whether stronger religious beliefs may influence the tendency to suppress thoughts.
Expert Solution
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Step 1
Let Y=a+bX
Here a is the intercept and b is the slope.
Let X denote Religiosity and Y denote the suppression.
Here n=5
Given data is,
From the table,
x =31, y=19, x2 =223
,y2 =79 and xy=128
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