Researchers are investigating the association betweenthe temperature in degrees and sales sales of hot dogs(in hundreds) at an outdoor sports stadium for a randomsample of days. They constructed a 95% confidenceinterval for the slope of the regression line for predictingSales from Temperature, obtaining (-0.24, 1.68). Whichstatement is correct?A) There is not a significant association because theinterval contains 0.B) The association is probably positive, because most ofthe interval is above 0.C) The association must be positive, because the intervalcontains 1.D) The researchers cannot make any conclusion, becausethe margin of error is too large.E) The researchers made an error, because the upperendpoint is greater than 1.
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.
Researchers are investigating the association between
the temperature in degrees and sales sales of hot dogs
(in hundreds) at an outdoor sports stadium for a random
sample of days. They constructed a 95% confidence
interval for the slope of the regression line for predicting
Sales from Temperature, obtaining (-0.24, 1.68). Which
statement is correct?
A) There is not a significant association because the
interval contains 0.
B) The association is probably positive, because most of
the interval is above 0.
C) The association must be positive, because the interval
contains 1.
D) The researchers cannot make any conclusion, because
the margin of error is too large.
E) The researchers made an error, because the upper
endpoint is greater than 1.
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