Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table. Drive-thru Restaurant O A B D 317 39 Order Accurate 134 20 265 244 Order Not Accurate 51 32 If two orders are selected, find the probability that they are both from Restaurant D. a. Assume that the selections are made with replacement. Are the events independent? b. Assume that the selections are made without replacement. Are the events independent?
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.
![Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in
the table.
Drive-thru Restaurant
B
C
Order Accurate
317
265
244
134
Order Not Accurate
39
51
32
20
If two orders are selected, find the probability that they are both from Restaurant D.
a. Assume that the selections are made with replacement. Are the events independent?
b. Assume that the selections are made without replacement. Are the events independent?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4edb96a9-7211-4813-8600-7242e4d4e2ac%2Fa637c260-4de6-407d-bf12-2b96d7d4740a%2Frv1gch_processed.jpeg&w=3840&q=75)
![a. Assume that the selections are made with replacement. Are the events independent?
The probability of getting two orders from Restaurant D is 0.0206. The events
are
independent because choosing the first order does not affect the probability
of the choice of the second order.
(Do not round until the final answer. Round to four decimal places as needed.)
b. Assume that the selections are made without replacement. Are the events independent?
The probability of getting two orders from Restaurant D is 0.0205. The events are not independent because choosing the first order
affects
the probability
of the choice of the second order.
(Do not round until the final answer. Round to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4edb96a9-7211-4813-8600-7242e4d4e2ac%2Fa637c260-4de6-407d-bf12-2b96d7d4740a%2Fz6l1z0l_processed.jpeg&w=3840&q=75)
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