After deciding on the appropriateness of a linear model relating coffee sales and maximum temperature, the managers calculate the equation of the least- squares regression line to be y =2493.30- 10.32x. This is the line shown in Figure 1. Answer the following: 1. Fill in the blank: For these data, temperature values that are greater than the mean of the temperature values tend to be paired with coffee sales values that are values. Choose one the mean of the coffee sales 2. Fill in the blank: According to the regression equation, for an increase of one degree in temperature, there is a corresponding of 10.32 dollars in coffee sales. Choose one v 3. What was the observed coffee sales value (in dollars) when the temperature was 74.0 degrees Fahrenheit? 4. From the regression equation, what is the predicted coffee sales value (in dollars) when the temperature is 74.0 degrees Fahrenheit? (Round your answer to at least one decimal place.)
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.
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