regression and correlation

Which of the following statement(s) is/are true? I. Correlation is used to determine the existence of a relationship between variables. II. Correlation is used to describe the type of relationship between variables. III. Regression is used to determine the existence of..

Which of the following statement(s) is/are false? I. The multiple correlation coefficient is always higher than the individual correlation coefficients. II. The coefficient of multiple determination denoted by R 2 , is the amount of variation explained by the regression..

The relation between the sign of the correlation coefficient( r ) and the sign of the slope( b ) of the regression line is => when r is positive, b is also positive and when r is negative, b is also negative or when r is positive, b is negative and when r is negative, b is posit..

The university authorities wanted to predict a student's grade on a statistics midterm score based on his/her SAT scores. Determine the correlation coefficient and the equation of the regression line for the data and predict the value of y ′ when x = 900. Test the hypothes..

The ACT Mathematics and Statistics scores for 7 students are shown. Determine the correlation coefficient, the equation of the regression line and predict the value for y ′ when x = 20. Maths ACT 15 30 23 27 11 22 18 Statistics ACT 12 29 25 26 10 20 16 (I) r = + 0.98 (II) ..

Probability problems with finite sample spaces Conditional probability Discrete/continuous random variables Mean, variance of discrete random variable Standard distributions Mean, standard deviation of normally distributed random variable Central limit theorem Line of best fit - least squa..

Comparing center and spread: within group, between group variation Comparing clusters and gaps Comparing outliners and other unusual features Comparing shapes Exploring bivariate data: Analyzing patterns in scatterplots Correlation and linearity Least-squares regres..