If the correlation coefficient is 0, then there is no linear relationship between the two variables. Select one: True O False

Q: If X and Y are independent the correlation cofficient between X and Y is equal zero

A: If x and y are independent, means they are uncorrelated , correlation coefficient is zero. Given…

Q: The range of the correlation coefficient is from 0 to 1. O True O False

A: The correlation coefficient is a measure that is used to find the relationship between two…

Q: Match the linear correlation coefficient to the scatter diagram. r=- 0.933

A: The linear correlation coefficient shows the strength and direction of the linear relationship…

Q: In which of the below types of correlation only two variables can be studied? O a. Simple…

A:

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: Suppose that X and Y are unknown with E(X) = 10, Var(X) = 4, E(Y) = 12 and Var (Y) = 100. In…

A: Solution: From the given information,

Q: If Data A has a correlation coefficient of r= -0.991, and Data B has a correlation coefficient of r=…

A: It is given that Data A has a correlation coefficient of r = -0.991. It is given that Data B has a…

Q: -2 7. 4 21 1 3 15 10 -2 3. -0.885 -0.778 -0.994 -0.671

A: Number of counts (n) = 9   x y x2 y2 xy   -2 15 4 225 -30   0 10 0 100 0   7 -2 49 4 -14…

Q: The stronger the relationship between the two variables, the closer the correlation coefficient is…

A: Correlation coefficient is a measure of relationship between two variables. It is denoted by ‘r’ and…

Q: While examining the relationship between two variables, A and B, a researcher computes a Pearson's…

A: We know that,  The Pearson's correlation coefficient values always lies between -1 to 1. Correlation…

Q: if the coefficient of correlation is -0.60, then what is the coefficient of determination is?

A:

Q: If the correlation coefficient obtained from data pairs of variables X and Y is -0.74 the strength…

A: Correlation between two variables measure the strength and direction between two variables. It…

Q: As a result of a research, it was concluded that there is no relationship between the two variables.…

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

Q: State whether the following statements are true or false. A. If the level of confidence is…

A: If level Confidence increase then critical value will be increases.

Q: Given the supply of a commodity, x, and the price of a commodity, y, would you expect a positive…

A: The supply of a commodity is directly related to its price. If a price of a good increase, the…

Q: when is the covariance or coefficient of correlation zero?

A: here given covariance or correlation coefficient is zero

Q: If there is no linear correlation, does this mean that there is no correlation at all?

A: We know that,  If x and two variables then there is only linear correlation between X and Y.…

Q: A)A set of n=12 of X and Y values produces a Pearson correlation of r= -0.70.Is this a positive of…

A: Given: The sample size is n=12. The correlation coefficient is r= -0.70.

Q: Why might we calculate the correlation coefficient for x and y values in a scatterplot?

A: Scatter plot is use to draw a relationship between two variables.

Q: If the correlation between two variables is determined to be -0.1, what conclusion can be drawn?

A: Given: r=-0.1

Q: Please interpret this Spearman rho correlation value: -0.21 (p=0.12)

A: We have given that  Spearman correlation coefficient rs = -0.21

Q: Suppose that for a set of (x,y) data, r = 0.36. Find the linear correlation coefficient. Do not…

A: Here the coefficient of determination is given as 0.36, from this value we need to compute the value…

Q: If the value of the Pearson correlation is r = 0, then all data points on a scatterplot would fall…

A: We have to answer statement true or false..

Q: Which value of correlation, -0.8 or 0.6, will give a higher coefficient of determination and…

A: Solution: 36. From the given information, the values of correlation are –0.8 and 0.6.

Q: When interpreting a correlation coefficient of 0.34, you would say that there is a linear…

A: Based on the r value, we can consider whether the linear relationship between two variables are weak…

Q: One use of the linear correlation coefficient is as a descriptive measure of the strength of the…

A:

Q: If you calculated a correlation coefficient to be 1.06, what conclusions can you draw?

A: Here is Given r = 1.06 which is correlation coefficient between the variables.

Q: What is the value of the linear correlation coefficient "r" for the fol y 2 4 1.

A: The formula for the relation correlation coefficient is given as follows r=∑xi-x∑yi-y∑xi-x2∑yi-y2

Q: 1. Calculate the linear correlation coefficient for the following data. X = 4,8,12, 16 and Y = 5,…

A: Given Data X = 4, 8, 12, 16 and Y = 5, 10, 15, 20

Q: I would need help with find the value of the linear correlation coefficient r, please?

A: For the given data r =?

Q: Calculate the correlation coefficient, r, for the data below.   1 3 10 7 5 4 6 8 9 2 -5 -3 14 6 3 -1…

A: We want to find the correlation(r)

Q: If the value of the Pearson correlation is r=+1.00 or -1.00, then all data points in a scatter plot…

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

Q: Compute the Pearson correlation for the following data and then test its significance. X     Y 2…

A: The independent variable is X. The dependent variable is Y. The given data represents simple linear…

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

A: We need to use the concept of correlation / regression analysis

Q: A zero correlation bewteen X and Y is least likely to occur if?

A: The strength and direction of linear relationship between two variables is measured by correlation,…

Q: A set of data with a correlation coefficient of -0.55 has a a) moderate negative linear correlation…

A:

Q: Which of the following values of the correlation coefficient indicates the weakest relationship…

A: Given, the values of the correlation coefficient, To find the correlation coefficient  which…

Q: Compute the correlation coefficient p for X and Y.

A: The expected value of x2 is,…

Q: If (r) is the correlation coefficient between two variables, then:

A: We need to use the concept of correlation

Q: Shown below is a scatterplot of Y versus X. -10 -20 -30 -40 -50 5 10 15 20 25 Which choice is most…

A:

Q: If the linear correlation coefficient is 0.546, what is the value of the coefficient of…

A: Coefficient of Determination: It is denoted by r2, here r represents the correlation between the two…

Q: As a result of the research, it was concluded that there is no relationship between the two…

A: Correlation coefficient : Correlation coefficient  is used to measures the association or linear…

Q: Choose the most likely correlation value for this scatterplot: r = 0.436 Ir = 0.100 r= -0.897 r =…

A: Correlation between two variables measure the strength and direction between two variables. It…

Q: Calculate the correlation coefficient of the two variables below.

A: Let X denote the variable Hand, And Y denotes the variable Height

Q: What does it mean if the linear correlation coefficient is A) 0? B) -1?

A: A) It is given that the correlation coefficient is 0.

Q: If the correlation between two variables is close to Zero, the linear association between the…

A: The correlation coefficient r measures the strength and direction of the linear relationship between…

Q: For a data set of weights​ (pounds) and highway fuel consumption amounts​ (mpg) of five types of​…

A: From the provided information, The p value is 0.033. Assuming that the null hypothesis is true, the…

Q: If the correlation is 0, then there is no relationship between the two variables.

A:

Q: If the correlation coefficient obtained from data pairs of variables X and Y is 0.98 the strength…

A: correlation coefficient The correlation coefficient r measures the direction and strength of 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.