ABC chemical plant supervisor is concerned about the high reaction times, y of a batch process. He wants to examine the root cause of the problem and select a sequence of 6 previous batches at different concentration of impurities, x. From these data the following are calculated. Ex = 200 Ev = 436 Ey = 12515 Ex² = 7250 Ey? = 39234 n = 6 (i) Compute the value of the correlation coefficient between the y and x for the given data. Gi) Intornrot the aoult htoino from nort
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.
![(e) ABC chemical plant supervisor is concerned about the high reaction times, y of a
batch process. He wants to examine the root cause of the problem and select a
sequence of 6 previous batches at different concentration of impurities, x. From these
data the following are calculated.
Ex =200 Ey= 436
Σ
Exy = 12515
Ex? = 7250
Ey? = 39234
n = 6
(i)
Compute the value of the correlation coefficient between the y and x for the
given data.
Interpret the result obtained from part (i).
Comment on the suggestion that high reaction times are caused by
concentration of impurities.
(ii)
(ii)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6c15f3a2-937f-494a-8c35-63386969d639%2F94bbd4d0-5f99-4949-a458-0ebe8c9aa936%2Ftnj6yo8_processed.png&w=3840&q=75)
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