If the slope of the regression line is positive, then the correlation is also positive. Select one: True False

Q: This regression line, Calculate the standard error of estimate for these data points.

A: Standard error of estimate is an important statistic to measure the accuracy of the predictions.

Q: If the coefficient of determination is 0.86 with corresponding regression line ˆy=2x+10, what is the…

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

Q: Explain the assumptions are needed to calculate the various inferential statistics of linear…

A: The assumptions needed for inferential statistics of linear Regression is  The dependent variable…

Q: Find the correlation between age and blood pressure using simple and Spearman's correlation…

A: Use EXCEL to obtain the value correlation coefficient r:   EXCEL procedure:   Go to EXCEL Go to…

Q: Along with the slope and the intercept, compute the standard erron of the estimate and the…

A: The slope and intercept are calculated below: Excel Procedure: Enter X and Y in Excel Go to Data…

Q: Give an example of a research question that would be suitable for computing a: a) Correlation…

A: a) Research question: Researchers are interested to know whether advertisement leads to high sales.…

Q: To estimate the value of a dependent variable based on the values of one or more independent…

A: Solution-: To estimate the value of a dependent variable based on the value of one or more…

Q: a. A scatterplot of Melanie's data, along with the regression line, is shown below. There is an…

A: HERE CHECK IMPACT OF OUTLIER ON CORRELATION

Q: The fish in my pond have mean length 14 inches with a standard deviation of 2 inches and mean weight…

A: In this case, weight is the dependent variable (y) and length is the independent variable (x).

Q: which of the following regressions represents the strongest negative linear relationship between x…

A: The correlation coefficient r is used to measure the linear relationship between two variables X and…

Q: Define the assumptions that inferential statistics in regression are based upon?

A: Solution: Regression is a technique that is used to estimate the dependent variable by using the one…

Q: are true or false. a When the gradient of the regression line is positive, the correlation is…

A: It is an important part of statistics. It is widely used.

Q: The random error term represents the influences of all of the unobserved factors that are not…

A: The general form of the regression model is as shown below: Y=β0+β1X1+β2X2+...+βkXk+U Here U…

Q: Define the ADL and GLS Estimators of Regression.

A:

Q: The LA county board of education regularly collects data on student SAT scores and classifies these…

A: Multple Regression analysis is the corret answer because SAT score is dependent on two or more…

Q: What proportion of the variability in the Salaries is explained by the multiple regression model…

A: The regression analysis is conducted using EXCEL. The software procedure is given below: Enter the…

Q: Which criterion is used for deciding which regression line fits best?

A: Least-squares property: If the sum of the squares of the residuals is expressed as smallest sum…

Q: "In regression, the sum of squared error used for generating a regression line is"

A: Regression is used to find the relationship between one dependent variable and one or more…

Q: In linear regression, the mean value of all residuals will be greater for a correlation of -.70 than…

A: The mean (or expected) value of all residuals will be greater for correlation of -0.70 than for a…

Q: What are the assumptions of Inferential statistics in regression?

A: Regression analysis is used to predict the dependent variable by using the one or more independent…

Q: If all actual values of the dependent variable lie on the estimated regression line, then the…

A: From the given information, All the actual values of dependent variable are lie on the straight…

Q: If the correlation r = 0.96, then All points of the scatter plot do all lie on a regression line.…

A: Solution: From the given information, r=0.96.

Q: If the linear correlation coefficient between the explanatory variable (x) and response variable (y)…

A:

Q: If the coefficient of determination is 0.298, what percentage of the data about the regression line…

A: Coefficient of determination It tells us the percentage of variation  in the dependent variable that…

Q: State true or false When a correlation coefficient for a linear regression model is close to -1 ,…

A: Given : Statement : When a correlation coefficient (corr. coeff.) for a linear regression(reg.)…

Q: If the correlation coefficient is a positive value, then the slope of the regression line... O a.…

A: The correlation coefficient represents the direction and strength of the relationship between x and…

Q: The level of significance is 0.05. In the regression model, which of the following are dummy…

A: # Dummy variable are the variable which. Categorise itself into different categories  Example: type…

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

A:

Q: Where does the spurious correlation exist?

A: In day-to-day life, we may all come across some situation where 2 factors are related. For example…

Q: What are the assumptions of simple linear regression (and as a consequence the pearson’s r…

A: We find the assumption for linear regression.

Q: When is the coefficient of certainty obtained from the regression equation equal to the square of…

A: Regression equation gives the relation between the response variable and the explanatory…

Q: The mean height of American women in their twenties is about 64.3 inches, and the standard deviation…

A: Let X denotes height of American women And Y denotes height of American men. Given:

Q: Suppose two variables are under study are temperature in degrees Fahrenheit (y) and temperature in…

A: The given regression line is y=95x+32. The correlation coefficient is the ratio of the covariance…

Q: Describe two ways in which Pearson correlation and simple linear regression are similar?

A: Pearson correlation - It gives a measure of degree of relationship The assigned value lies between…

Q: Use the value of the linear correlation coefficient to calculate the coefficient of determination.…

A: The value of correlation coefficient is r = -0.187 And the coefficient of determination is…

Q: What information does a regression coecient provide that a correlation does not?

A: Correlation is used to find the association between two variables whereas regression is used to…

Q: If the Pearson correlation between X and Y is negative, then the regression equation will have a…

A: Conditions based on sign with respect to the correlation coefficient and slope:   As the…

Q: Complete the statement. When all points fall on the regression line, the value of the correlation…

A: # When all points fall on the regression line, the value of the correlation coefficient is...??

Q: Use the given data to find the a. Equation of the regression line b. Coefficient of correlation

A: We have to find the regression line and coefficient of correlation r.

Q: if the slope is negative then is the correlation coefficient also negative?

A: Given: the slope of the regression line is -ve then the correlation coefficient is -ve.

Q: If the estimated intercept of the regression equation is negative, we can say the estimated…

A: Let the regression equation is y= ax + b where y is dependent variable and x is independent…

Q: If the coefficient of determination of a simple regression equation is 0.81, the correlation…

A: Correlation coefficient is the square root of coefficient of determination.

Q: Define Residuals or errors in Alternative Regression Models?

A: The residual or errors is defined as the difference between the observed value of the dependent…

Q: Show that arithmetic mean of regression coefficients is greater than the correlation coefficient.

A: Regression coefficients :  Let X and Y be two variables, then we can get two regression equations;…

Q: If the coefficient of determination is 0.233, what percentage of the data about the regression line…

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

Q: f the Pearson correlation between X and Y is r = .50, then the regression equation predicts 25% of…

A: Obtain the value of the coefficient of determination.   The value of the coefficient of…

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.