pearson r correlation

Which of the following statement(s) is/are true? I. The multiple correlation coefficient denoted by R takes into account all the independent variables and can be computed by using the values of the individual correlation coefficients. II. R can range from - 1..

What is the upper bound the correlation coefficient r ? => 1 or 2 or 0 or -1..

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 regressio..

The formula for the t test using correlation coefficient r is => t = r n - 1 1 - r 2 , df = n - 2 or t = r n - 2 1 - r 2 , df = n - 2 or t = r n - 2 1 - r 2 , df = n - 1 or t = r n - 1 1 - r 2 , df =..

Which of the following statement(s) is/are true? I. If the correlation coefficient is significant, the equation of the regression line cannot be determined. II. The values of the dependent variable can be predicted for the values of the independent variable using the regression line equat..

A teacher decides to examine the hypothesis between the test scores and the overall grade point average for each student for the whole year. Find t test value and test the significance of the correlation coefficient using the P-value method. r = 0.43, ∝ = 0.02, n = 5. => 0...

An educational researcher wants to find the relationship between studying hours ( x 1 ), playing hours ( x 2 ) and test scores ( y ) of the students of grade 5. Determine (i) the multiple correlation coefficient, (ii) the coefficient of multiple determination and (iii) the residual variat..

The age ( x 1 ), height ( x 2 ) and weight ( y ) of 5 children selected randomly are shown. Find the value of the multiple correlation coefficient R. Age (in years) ( x 1 ) 8 9 10 11 12 Height (in inches) ( x 2 ) 44 43 47 49 48 Weight (in lbs) ( y ) 64 60 71 76 76 => 0.99 or 0.9..

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) ..

Which of the following statement(s) is/are true? I. A multiple regression correlation R can also be computed to determine if a significant relationship exists between the variables. II. Multiple regression analysis is used when there are two or more independent variables contrib..