Problem # 3 The following table shows how many weeks a sample of 6 persons have worked at an automobile inspection station and the number of cars each one inspected between noon and 2 P.M. on a given day: Number of weeks employed (x) Number of cars inspected (y) 2 13 7 21 23 1 14 5 15 12 21 a) Find the equation of the least squares line which will enable us to predict y in terms of x. b) Use the result of part (a) to estimate how many cars someone who has been working at the inspection station for 10 weeks can be expected to inspect during the given 2-hour period.
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.
![Problem # 3
The following table shows how many weeks a sample of 6 persons have worked at an automobile
inspection station and the number of cars each one inspected between noon and 2 P.M. on a given
day:
Number of weeks employed (x)
Number of cars inspected (y)
13
7
21
9.
23
1
14
5
15
12
21
a) Find the equation of the least squares line which will enable us to predict y in terms of x.
b) Use the result of part (a) to estimate how many cars someone who has been working at the
inspection station for 10 weeks can be expected to inspect during the given 2-hour period.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4a02593-47b6-4253-beb0-7c85972c9833%2F5b081648-ab3e-434e-99e4-9f073d164de8%2Fe6t8dfa_processed.jpeg&w=3840&q=75)
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