A national consumer magazine reported the following correlations. The correlation between car weight and car reliability is -0.6. The correlation between car weight and annual maintenance cost is 0.4. According to this information, which of the following statements are true? I. Heavier cars tend to be less reliable.  II. Heavier cars tend to cost more to maintain.  III. Car weight is related more strongly to reliability than to maintenance cost. I only II only III only I and II I, II, and III

Q: Let x be the average number of employees in a group health insurance plan, and let y be the average…

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Q: 1. 2. 3. 4.

A: Figure 1 of the scatter plot This shows that as one variable varies than other also varies in same…

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A: Introduction The sample mean is denoted by x¯ and the sample sd is denoted by s.

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A: Correlation: Correlation is used to measures the association or linear relationship between two…

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A: Correlation measures the strength of association.  According to the provided information, the…

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A: Correlation ranges from -1 to 1.

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A: Option (A) is incorrect Because when x-vlaue increases  as the corresponding y-value increases  then…

Q: Age(x) 8 15 22 27 34 40 Sleep (y) 8 8 7 7 6.

A: The given table is x y 8 8 15 8 22 7 27 7 34 5 40 6

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A: 2a. A strong positive linear correlation is observed when one variable increases as the increase in…

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A: What type of relationship exists between the two variables x and y in the scatter plot?

Q: What type of correlation is exhibited by the following graph?

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A: We will solve this from statistical point of view

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Q: 4. Put the r-values in order from the weakest to strongest correlation. r = -0.90 r = 0.050 r= 0.80…

A: Given r-values  r = -0.90 r = 0.050 r = 0.80 r = -0.72 r = 0.45 r= -0.88 r = 0.97

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.