A researcher wants to know how the number of drinks consumed on a night out affects decision-making quality. She observes and records the drinking behavior of 5 participants, then has them complete a series of decision-making tasks. Use the following data to answer the next 15 fill-in-the-blanks answering the following question: 1) is the correlation statistically significant at ? 2) Calculate the percent of variability accounted for in Y by X, and 3) define the equation for the line of best fit. Number of Drinks (X) Decision Making Task Performance (Y) 2 7 4 2 1 5 1 6 2 5 State the hypotheses about (rho) Null: Alternative: df: critical t: SSx: SSy: SP: Correlation (r): Standard error of the correlation (): Calculated t-statistic: State your conclusion and make a decision about the null hypothesis and state what it means in the variables of interest: Percent of variance explained (): For the regression line, calculate b: For the regression line, calculate a: Write out the regression line:
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.
A researcher wants to know how the number of drinks consumed on a night out affects decision-making quality. She observes and records the drinking behavior of 5 participants, then has them complete a series of decision-making tasks. Use the following data to answer the next 15 fill-in-the-blanks answering the following question: 1) is the
| Number of Drinks (X) | Decision Making Task Performance (Y) |
| 2 | 7 |
| 4 | 2 |
| 1 | 5 |
| 1 | 6 |
| 2 | 5 |
State the hypotheses about (rho)
Null:
Alternative:
df:
critical t:
SSx:
SSy:
SP:
Correlation (r):
Standard error of the correlation ():
Calculated t-statistic:
State your conclusion and make a decision about the null hypothesis and state what it means in the variables of interest:
Percent of variance explained ():
For the regression line, calculate b:
For the regression line, calculate a:
Write out the regression line:
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