The manager of a restaurant kept a record of the number y customers each hour, where x= 3 represents 3.00 p.m. The table below shows the number of customers y and the time of day x. X (time) 4. 7. 8. 6. 10 Y (customers) 24 44 54 52 44 34 22
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.
![The manager of a restaurant kept a record of the number y customers each
hour, where x = 3 represents 3.00 p.m. The table below shows the number of
customers y and the time of day x.
X (time)
Y (customers)
10
24 44 54 52 44 34 22
3
4
8.
6.
9.
a. Make a scatter plot of the data using a graphing calculator and
delemine the type of function that best models the data.
b. Use a regression feature of a graphing calculator to find a
function that models the data.
c. Do you think the function you found would accurately predict the
number of customers at 5:30 p.m.? If so, how many?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18f15eb1-055b-40a1-93a0-018ad50477b2%2Fa72318f2-0879-4974-b291-ed37ceea76ce%2Fdpfhi0q_processed.jpeg&w=3840&q=75)
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