g) Test whether the interaction between room size and the initial temperature is significant at a 5% level of significance.
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.
![g) Test whether the interaction between room size and the initial temperature is
significant at a 5% level of significance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb82138b-fd63-4fb3-baa5-cd1b1cc5c752%2Fc9c59d30-9115-4835-947e-ad4edf74bbea%2Fj9chxy8_processed.png&w=3840&q=75)
![An industrial oil heater is tested by its ability to heat up a large room on a cold day and in
particular, the rate at which it reaches a desired average temperature.
The size of the room and the room temperature prior to switching on the heater were
identified as two important factors of the rate at which the average room temperature
increases. The experiment was replicated 3 times for each combination.
The time (in minutes) till an average temperature increase of 10°C was measured is
tabulated below:
Factor B
Large Classroom (200m2) Large Auditorium (400m2)
(1)
Treatment
Combination
(2)
Factor A
7°C (1)
8,9,8
22,18,21
12°C (2)
9,10,12
19,29,25
Let factor A be the initial temperature and factor B be size of the room.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb82138b-fd63-4fb3-baa5-cd1b1cc5c752%2Fc9c59d30-9115-4835-947e-ad4edf74bbea%2Fb8s4zab_processed.png&w=3840&q=75)
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