If r is the simple correlation coefficient, the quantity r2 is known as:

Q: When the correlation coefficient is 0  A. There is a moderately weak relationship between variables…

A: We know that correlation coefficient is a measure of linear relationships between two variables,…

Q: Which of the following correlation coefficients (r) shows the strongest relationship? o 0.10 o…

A: Higher the magnitude (ignoring the sign) of correlation coefficient, stronger the relationship.

Q: If the coefficient of correlation is 0.90, the percentage of the variation in the dependent variable…

A: The objective of the question is to determine the percentage of the variation in the dependent…

Q: The scale of the correlation coefficient is: a. nominal

A: Qualitative variables:  The variables which having the distinct categories are known as qualitative…

Q: A. Describe the strength and direction of correlation of the following pairs of variables. Complete…

A: Correlation: Correlation a measure which indicates the “go-togetherness” of two data sets. It can be…

Q: If r,, = 45, r, = .37 and r, , = .52 23 13 Find the Coefficients of multiple correlations.

A:

Q: If a linear relation exists between the variables x and y, then the coefficient of correlation…

A:

Q: 0.3. Calculate co-efficient of correlation between x & y by direct method, when x= 78 89 97 69 59 79…

A:

Q: Which of the following is NOT true about correlation? a. Used to make predicitons for dependent…

A: It is needed to discuss about the correlation.

Q: If the coefficient of determination is equal to 1, then the correlation coefficient is a.

A: Given : The coefficient of determination is equal to 1

Q: Find the linear correlation coefficient r.

A: Given that, The formula for calculating the linear correlation coefficient is,

Q: A perfect straight line sloping downward would produce a correlation coefficient equal to: O A. -1…

A: Given that ; A perfect straight line sloping downward would produced a correlation…

Q: The value of correlation coefficient between variables X and Y lies between: A. 1 and 2 B. 0 and 1…

A: We have to identify correct option.

Q: Q5:A: The following data represent the quantities sold x, and prices y, for a commodity, find a…

A:

Q: Given the probability distribution of a r.v. X as follows: X 1 25 7 (x) 0.15 k0.500.25 Then…

A: Given : x 1 2 5 7 f(x) 0.15 k 0.5 0.25 Here f(x) be probability at point of x i.e f(x) =…

Q: 3. Given 8X – 10Y + 66 = 0 and 40X – 18Y = 214. Find the correlation coefficient, r.

A: Given equations is8x-10y+66=040x-18y=214

Q: n(Σxy) - (Σχ)(Σy) VnEx - (Σ] [ nEy? - (Ey}]

A: Given Data is Baby x y A 8 56 B 5 44 C 11 79 D 13 72 E 10 70 F 5 54 G 18 94 H 15…

Q: Why does the squared curvilinear correlation referred to as a partial η2 for that component?

A: The  partial eta measures the strength of a non-linear or curvilear  association. Actually it is a…

Q: Assume that the computed correlation between x and y is -0.13. Suppose we define new variable s = -x…

A:

Q: For the data below, compute the Pearson correlation. X Y 3 4 2 5 1 9 6 2 Find coefficient of…

A:

Q: ompute the Pearson Product-Moment Correlation for the following: x               y

A: Given : n=10 , ƩX=60 , ƩY=48 , ƩX2=396 , ƩY2=262 , ƩXY=287 X-bar=ƩX/n=60/10=6 Y-bar=ƩY/n=48/10=4.8 σ…

Q: Assume that the computed correlation between x and y is -0.13. Suppose we define a new variable s=…

A: Given that the correlation between x and y is -0.13. s=-x and t=y+6

Q: Name the two variables of interest(1 measured variable on an interval/ratio, and another is…

A: First of all Interval scale where order and the difference between two values are meaningful for…

Q: Use the following table to find the linear correlation coefficient between x and y X 2 3 4 1 2 2 3 2…

A:

Q: Based on data from a studey of association between miles driven and gallons of gasoline used, let r1…

A: Given that  r1 = Cor(miles, gallons), r2 = Cor(gallon, miles)

Q: The following data give X, the price charged for a particular item, and Y, the quantity of that item…

A: Covariance: Let (x1, y1), (x2, y2), ... , (xn, yn) be n set of observations for the variables (x,…

Q: A statistician finds a Pearson correlation of r = 0.29. What does this correlation tell us about the…

A: We have given Pearson correlation of r = 0.29

Q: Find the correlation coefficient for the following data: x:     1     2     3     4     5     6…

A: From the provided information, X Y 1 3 2 2 3 4 4 3 5 7 6 5…

Q: A. 4. Calculate Coefficient of Correlation from the following results : n = 10, EX = 100, EY = 150,…

A: Given data is n=10∑x=100∑y=150∑(x-10)2 =180 ∑(y-15)2 = 215∑(x-10)(y-15)=60

Q: Obtain the rank correlation co efficient for the following data : X: 68 Y: 62 64 75 50 64 80 75 40…

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.