A researcher is investigating the relationship between the length, in centimeters, and weight, in grams, of pineapples. The researcher will select a random sample of 15 pineapples from grocery stores in a region and construct a 95 percent confidence interval for the slope of the population regression line, where length is the explanatory variable and weight is the response variable. When computing a confidence interval for the slope of the population regression line, which of the following is not a condition that must be checked? The true relationship between length and weight is linear. A The standard deviation for weight does not vary with length. B The values of weight are approximately normally distributed at each value of length. C The sum of the residuals is zero. D The observations are independent. E
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 is investigating the relationship between the length, in centimeters, and weight, in grams, of pineapples. The researcher will select a random sample of 15 pineapples from grocery stores in a region and construct a 95 percent confidence interval for the slope of the population regression line, where length is the explanatory variable and weight is the response variable.
When computing a confidence interval for the slope of the population regression line, which of the following is not a condition that must be checked?
-
The true relationship between length and weight is linear.
A -
The standard deviation for weight does not vary with length.
B -
The values of weight are approximately
normally distributed at each value of length.C -
The sum of the residuals is zero.
D -
The observations are independent.
E
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