1. A publisher of books has produced five comparable Statistical Management books with the following costs. Both values are in thousands. Quantity produced (x000) 1 2 4 5 7 Manufacturing Cost (x000) 5.9 6.5 7.5 8 a) Calculate the correlation coefficient for the association between quantity produced and manufacturing cost. b) produced. c) quantity produced is 12000 copies. Calculate the regression line for predicting manufacturing costs from quality Predict the manufacturing cost of an eighth statistics book if the expected
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.
![1.
A publisher of books has produced five comparable Statistical Management
books with the following costs. Both values are in thousands.
Quantity
produced
(x000)
1
2
4
5
7
Manufacturing
Cost (x000)
5.9
6.5
7.5
8
a)
Calculate the correlation coefficient for the association between quantity
produced and manufacturing cost.
b)
produced.
c)
quantity produced is 12000 copies.
Calculate the regression line for predicting manufacturing costs from quality
Predict the manufacturing cost of an eighth statistics book if the expected](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9132d86-e55e-49d3-8c2f-73b4ef50fc3b%2Fbcf134c3-8ffc-4964-81ee-f4173346faa8%2Fyog6s6_processed.png&w=3840&q=75)
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