The coefficient of correlation between X and Y is and of = a, ož = 4a, and o; = 114 where Z = 3X – 4Y. Then the value of the constant a is

Q: . Find the value of mode from the following data: 50-59 20-29 30-39 40-49 60-69 70-79 80-89 X: 0-9…

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Q: Suppose the equation of the regression line for the number of emails a person recieves at a…

A: The regression equation is given as y = 10 +4x , where the independent variable x is the number of…

Q: The correlation coefficient between the variables x and y is r=0-60. If og=1·50, oy=2.00, E=10 and…

A: Given,r=0.60σx=1.50  ,  σy=2.00 ,x¯=10    ,   y¯=20

Q: Pearson's r ranges from -1.00 (the strongest possible negative relationship) to + 1.00 (the…

A: Correlation: The correlation is used to measure the strength of the association between variables.

Q: Ocean currents are important in studies of climate change, as well as ecology studies of dispersal…

A: x y x2 y2 xy 76 14.2 5776 201.64 1079.2 79 19.6 6241 384.16…

Q: An owner of a health spa studied the relationship between “temperature in degrees Fahrenheit at 11…

A: For the sample values, Standard deviation of Y is 3.6697, from the Excel function,…

Q: A pediatrician wants to determine the relation that exists between a child's height (x) and head…

A: Given that Correlation coefficient=0.6  Regression equation y=0.221x+8.15  We have to find the…

Q: The table contains the state population and the number of licensed drivers in the state (both in…

A: The regression model  models the state population and the number of licensed drivers.The aim is to…

Q: If correlation of X and Y is equal to 0, prove that correlation of x< and y may not be equal to 0.

A: Correlation: Correlation analysis is used to measure the strength of the association between…

Q: 11. Find the value of the mode from the data given below Weight (in kg) No. of students No. of…

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Q: The correlation coefficient between two variables X and Y is r- 0.60. If S. = 1.50, S = 2.00, X= 10…

A: Given  r=0.60, Sx=1.5, Sy=2, X=10, Y=20

Q: A pediatrician wants to determine the relation that exists between a child's height (x) and head…

A: The data is defined below as follows:   From the information, it is clear that   Let X denotes the…

Q: Complete the following worksheet and then use it to calculate the coefficient of determination. (9₁…

A: ixiyi1502019.3698.61812.7212502119.3698.61820.8543551918.4093.9036.58845519.518.4093.9039.40456020.5…

Q: 2. In the regression equation, the value that gives the amount by which Y changes for one unit in X…

A: In regression equation, coefficient of x i.e. slope tells us if we increase the value of x by one…

Q: a) Use the equation of the regression line to predict the score for someone who has consumed 4…

A: The regression equation is given by y = -0.9 x + 8.7 Where x is number of ounces of alcohol…

Q: Complete the following worksheet and then use it to calculate the coefficient of determination. (9,-…

A: ixiyi115160175.4862.208196213.5220197.774565.2032116316.5140153.197432.7651156414.5190182.91579.4772…

Q: If the regression equation is Y = 2 –0.4X , What is the value of Ÿ when X = -3.

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Q: Identify the relationship between two variables and the terminology used to describe that…

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Q: The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is​…

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Q: s to know the proportion of her fans who listened to her new single ME! within the first hour of it…

A: aylor Swift wants to know the proportion of her fans who listened to her new single ME! within the…

Q: Calculate the Pearson correlation for the scores. (Use three decimal places.) Find the regression…

A: We have to determine the correlation coefficient and the line of regression on the basis of given…

Q: Consider the following regression equation: Y = 30 + 8X. If SSE = 720 and SS Total = 1,200, then the…

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Q: ŷ = 1.002x + 1.403  ŷ = 1.403x + 1.002  ŷ = 1.002(1.403)x  ŷ = 1.403(1.002)x

A: The scatter plot shows a linear relationship between the variables, with data points forming a…

Q: What monthly utility bill would be expected for a 2500 square foot home in this city?

A: Here dependent variable is the monthly utility bill (U). The Independent variable is the square…

Q: The line of best fit through a set of data is ŷ = 14.714 – 3.985x According to this equation, what…

A: Given, y = 14.714 - 3.985 * x

Q: Complete the following worksheet and then use it to calculate the coefficient of determination.…

A: The raw data…

Q: To compute r, the form of the relationship must be non-linear. If you correlate two quantitative…

A: HERE use basic of correlation coefficient

Q: he cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is​…

A: Given data is as follows: 12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.5 19.07 13.48 15.12…

Q: Forest Fires and Acres Burned Numbers (In thousands) of forest fires over the year and the number…

A: Given data Regression analysis can be done

Q: For 50 students of a class the regression equation of marks in Statistics (X) on marks in…

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Q: The regression equation of production (x) on capacity utilisation () of a certain firm is 3x – 2.76y…

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Q: You work as a data scientist for a real estate company in a seaside resort town. Your boss has asked…

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Q: The correlation between X and Y is r = 0.35. If we doublw each X value, decrease each Y by 0.20, and…

A: Introduction Correlation shows the association b/w 2 variables.

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.