We measure the self-esteem of a sample of statistics students, reasoning that this course may lower their self-esteem relative to that of the typical college student (μ= 55, σ= 11.35)). We obtain the following self-esteem scores: 44, 55, 39, 17, 27, 38, 36, 24, 26 a. How would you summarize this data? Explain. b. Does our sample have significantly different self-esteem scores compared to the typical coll
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
4. We measure the self-esteem of a sample of statistics students, reasoning that this course may lower their self-esteem relative to that of the typical college student (μ= 55, σ= 11.35)). We obtain the following self-esteem scores: 44, 55, 39, 17, 27, 38, 36, 24, 26
a. How would you summarize this data? Explain.
b. Does our sample have significantly different self-esteem scores compared to the typical college student? Conduct a full hypothesis test using the .05 level of significance.
c. Compute the effect size with Cohen’s d
d. What is the probability that we made a type I error? What would be the error in terms of independent and dependent variables?
e. Is there a risk of a Type II error?
f. Summarize your findings in APA format
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