Question No. 4 A market trader sells ball-point pens on his stall. He sells the pens for a different fixed price, x pens, in each of six weeks. He notes the number of pens, y that he sells in each of these six weeks. The results are shown in following table. Week 1 4 5 Pens 10 15 20 25 30 35 Sells 68 60 55 48 38 32 a. Find the correlation coefficient between pens and sells and test the hypothesis that there is no relation between these variables. b. Find the regression equation of sells to pens c. Estimate the weekly sells for 20 pens. d. Estimate the Error.

Q: Example 17.6 Given the following zero-order coefficients of correlation, calculate multiple…

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Q: For these data, find the SSx, SSy, SP, and Pearson correlation coefficient, r.   X Y 5 11 3 8…

A: We want to find the SSx, SSy, SP, and Pearson correlation coefficient, r.

Q: Question 5: Match each scatterplot shown below with one of the four specified correlations.…

A: Solution Given scatter plot is

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Q: 1. The following data were obtained in a study of the relationship between the weight and chest size…

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Q: A market trader sells ball-point pens on his stall. He sells the pens for a different fixed price, x…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: 1. The following table contains measured amounts (mg) of nicotine and tar in king size cigarettes of…

A: The question is about correlation and regression Given :

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A: We know that- The correlation coefficient (r) is the measure of the strength of relationships…

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A: Year(x) A.Family size(y) xy x2 y2   1969 4 7876 3876961 16   1973 3.6 7102.8 3892729 12.96…

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A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

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A: Phi coefficient : The phi coefficient is a measure of association for two binary variables. Negative…

Q: For these data, find the SSx, SSy, SP, and Pearson correlation coefficient, r.   X Y 1 55 2…

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Q: Here is a bivariate data set. X y 15 16.1 29.4 76.5 14.9 -153.4 23.6 20.4 21.5 136.8 8.1 117.5 13…

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Q: Example 17.6 Given the following zero-order coefficients of correlation, calculate multiple…

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Q: Example 16.1 Calculate the coefficient of correlation for the following data: X 2 3 4 5 7 9 10 14 Y…

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A: Given that Following Data for X & Y respectively :

Q: A set of n = 11 pairs of scores (X and Y values) has SSX = 6, SSY = 55, and SP = 8. The Pearson…

A: From the provided information, Number of observations (n) = 11 SSx = 6, SSy = 55 and SP = 8

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Q: Find the linear correlation coefficient.

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Q: EXAMPLE 1. Calculate the co-efficient of correlation from the following data : 6 8 7 4 3 9. 15 16 14…

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Q: 1. Find Karl Pearson's co-efficient of correlation of the following data. Age of husband (x): 20 22…

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Q: For these data, find the SSx, SSy, SP, and Pearson correlation coefficient, r.   X Y 1 60 2…

A: mean of x is (x)=1+2+3+44x¯=52=2.5mean of y is(y¯)=60+58+55+574y¯=57.5

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Q: A market trader sells ball-point pens on his stall. He sells the pens for a different fixed price, x…

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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.