Scientists suspect that females can smell a particular chemical with an intensity greater than that of males. It is understood that there is a genetic component which affects the sensitivity to this chemical as well. 7 sets of full blood siblings are put near the chemical and asked to rate its intensity on a scale of 0 to 10. (0 means cannot smell.) Here are the results: Please state: 1. Qualitative (Categorical) or Quantitative (Numeric) • If Qualitative: Goodness of Fit or Test of Homogeneity/Independence? • If Quantitative: Proportions or Means? 2. State the null and alternative hypotheses. 3. What distribution would you use to conclude the test, assuming all necessary assumptions were satisfied? If Degrees of Freedom are involved, state them.
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.
Scientists suspect that females can smell a particular chemical with an intensity greater than that of males. It is understood that there is a genetic component which affects the sensitivity to this chemical as well. 7 sets of full blood siblings are put near the chemical and asked to rate its intensity on a scale of 0 to 10. (0 means cannot smell.) Here are the results:
Please state:
1. Qualitative (Categorical) or Quantitative (Numeric)
• If Qualitative: Goodness of Fit or Test of Homogeneity/Independence?
• If Quantitative: Proportions or Means?
2. State the null and alternative hypotheses.
3. What distribution would you use to conclude the test, assuming all necessary assumptions were
satisfied? If Degrees of Freedom are involved, state them.
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