Q4. The equations of two regression lines between two variables are expressed as 2X – 3Y = 0 and 4Y- 5X-8 = 0. (i) Identify which of the two can be called regression line of Y on X and of X on Y. (ii) Find X and Y and correlation coefficient r from the equations

Q: hat represents the X variables? 2. Would you suppose the Y = Bo + B1X + E equations to have a…

A: The model can be given as, Y = Bo + B1X + E

Q: Two variable are found to have a strong negative linear correlation. Pick the regression equation…

A: The general equation of estimated regression line isy^=bx+a whereb=rsysx

Q: A sample of 7070 women is​ obtained, and their heights​ (in inches) and pulse rates​ (in beats per​…

A: It is given that the correlation coefficient (r) is 0.221.

Q: Determine the regression equation 1 2 3 4 5 6. 7 8 y 0,5 0,8 1,2 1,9 3 4,8 7,5 11,9

A: Note: Commas are taken as decimals for computation. Mean x=∑xin=(1+2+3+4+5+6+7+8)/8=36/8=4.5Mean…

Q: IQ scores were obtained from randomly selected adopted children living together. For 20 such pairs…

A: The equation of the regression line is y=-3.22+1.02x.

Q: Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of​ people, the…

A: Given information- We have given the equation of the regression line- y = -10.69 + 1.11x Here, x =…

Q: The equations of two lines of regression obtained in a correlation analysis are the following : 2X =…

A:

Q: Determine the regression equation 1 2 4 6 7 8 y 0,5 0,8 1,2 1,9 3 4,8 7,5 11,9

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Q: The money raised and spent (both in millions of dolars) by all congressional campaigns for 8 recent…

A: Solution.

Q: When the correlation coefficient, r, is close to one: a. There is no relationship between the two…

A: We know that,  The linear correlation (r) between X and Y two variables, the correlation values lies…

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: Four pairs of data yield r= 0.942 and regression equation y=3x.Also, y= 12.75. What is the best…

A: Given that,, Regression equation y = 3x And  x=2.9

Q: Suppose that you run a correlation and find the correlation coefficient is -0.436 and the regression…

A: Here you're given the correlation coefficient (r) is -0.436 and the regression equation is y⏞ = -…

Q: Example 2. If the relationship between two variables x and u is u + 3x = 10 and between two other…

A:

Q: 1) Match each of the five scatterplots to the appropriate correlation coefficient and equation of…

A: 1). d). it is given that r (correlation coefficient) is -0.83 (strong negative correlation). The…

Q: The table below shows the numbers of new-vehicle sales for company 1 and company 2 for 11 years.…

A: The question is about regression model Given :

Q: If the coefficient of determination is calculated as 0.48 and regression equation y = 2.4 – 3.5x,…

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Q: In a laboratory experiment on correlation research study the equation of the two regression lines…

A: The regression equations are 2x-y+1=03x-2y+7=0. For the mean of x and Y, we solve the two regression…

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: Q4/ Find the theoretical values for linear equation (y) from the given data Xi 3 6 9. 12 15 18 21 24…

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Q: If there is a positive correlation between X and Y then in the regression equation, Y = bX + a,…

A: Solution-: If there is a positive correlation between x and Y then in the regression equation,…

Q: Consider the equation of the regression line y = 25 - 2.5x and ỹ = 12, %3D Find y when x 6 assuming…

A: Regression line isy=25-2.5xand y = 12

Q: If the coefficient of correlation is .4, the percentage of variation in the dependent variable…

A: Given,coefficient of correlation(r)=0.4

Q: If o, = 0, - = o and the angle between the regression lines is tar . Find the coefficient of…

A:

Q: Let the equations of the regression lines be expressed as 8x-2y=0 and 3y-2x=9. Then the correlation…

A:

Q: In a laboratory experiment on correlation research study the equation of the two regression lines…

A:

Q: 1) Match each of the five scatterplots to the appropriate correlation coefficient and equation of…

A: The scatterplot 2 corresponds to the regression equation (a) y=-2.1+1.4x with an r value of 0.83.…

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

A: The given linear equation is y = 13 + 16x.

Q: The correlation coefficient between two variables X and Y is r= 0.6. If Sx = 1.50, Sy = 2, X = 10…

A:

Q: A sample of 40 women is obtained, and their heights (in inches) and pulse rates (in beats per…

A: The regression line is y = 18.2 + 0.920x

Q: A regression study was done for 20 cities with latitude and average May temperature as the…

A: Given information: The data represents the results of regression analysis.

Q: Given the equation of a regression line is  y  = -5.5x - 9.4, what is the best predicted value for y…

A: Given,   The equation of a regression line is,

Q: 4. Regarding the two variables X and Y, can we obtain two regression lines such as Y= -1.5 X + 7 and…

A: The two regression line as follows: Y = -1.5X + 7  X = 0.6Y + 11 The slope coefficient are byx =…

Q: . The number of murders and robberies per 100,000 population for a random selection of states are…

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Q: Let the equations of the regression lines be expressed as 8X-2Y = 0 and 3Y-2X =9. Then find the…

A: Given : Let the equations of the regression lines be expressed as 8X-2Y = 0 3Y-2X =9

Q: Let the equations of the regression lines be expressed as 8X - 2Y = 0 and 3Y – 2X = 9 Then the…

A:

Q: If the points (x1, y1), (x2, y2),..., (xn, yn) lie on a straight line, what can you say about the…

A: suppose that we have n pairs of points (x1,y1),(x2,y2) .........(xn,yn) on a straight line. to find…

Q: Two variable are found to have a strong negative linear correlation. Pick the regression equation…

A: In this case x is the independent variable and y is the dependent variable.

Q: 1. Multicollinearity is a situation in which two or more independent variables are highly correlated…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Two variable are found to have a strong negative linear correlation. Pick the regression equation…

A: Correlation is the association or strength between two variables. In other word, the changes between…

Q: The table shows the numbers of new-vehicle sales (in thousands) in the United States for Company A…

A: x y x-x¯ y-y¯ x-x¯2 y-y¯2 x-x¯y-y¯ 4162 4893 1080.5 632 1167480.25 399424 682876 3923 4833…

Q: The regression equations of two variables x and y are x = 0.7y + 5.2, y = 0.3x+2.8. Find the means…

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Q: For two variables X and Y, we have two regression lines 2X-7Y+3=0 and aX+bY+6=0 for some constants a…

A: Correlation: By correlation we mean the association or interdependence between two variables. If two…

Q: It is known that the linear regression equation: y= -2.88+1.77x, with a coefficient of determination…

A:

Q: 1) Match each of the five scatterplots to the appropriate correlation coefficient and equation of…

A: The scatterplot 2 corresponds to the regression equation (a) y=-2.1+1.4x with an r value of 0.83.…

Q: Different hotels in a certain area are randomly​ selected, and their ratings and prices were…

A:

Q: Suppose that you run a correlation and find the correlation coefficient is -0.256 and the regression…

A: Given regression equation ŷ = -5.8x + 56.92

Q: If you know that the equation of the simple linear regression between the final exam result and the…

A:

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.