regression of a line

The formula for the standard error of the estimate for the predictions made with a regression line is => I or II or III or IV..

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 regres..

Which of the following statement(s) is/are true? I. If all the points fall on the regression line, the explained variation is equal to the total variation. II. If all the points fall on the regression line, the unexplained variation will be equal to zero. III..

Which of the following statement(s) is/are true? I. A residual is the difference between the actual value y and the mean of the y values y ‾ . II. A regression line is also called a least squares line. III. The coefficient of determination is the ratio of the e..

Determine the equation of the regression line and plot the line on the scatter plot for the data. x 2 8 7 5 3 6 4 1 y 6 8 4 1 5 7 2 3 => y ′ = 2.893 + 0.357 x ; Graph 1 or y ′ = 0.357 + 2.893 x ; Graph 3 or y ′ = 2.893 - 0.357 x ; Graph 2 or y ′..

The mean weights of 100 infants who were weighed each month during their first year of life are shown here. Determine the equation of the regression line and plot the line on the scatter plot. Age (in months) ( x ) 1 2 3 4 5 6 7 8 9 10 11 12 Weight (in pounds) ( y ) 9...

The age and height of a person is recorded. Determine the equation of the regression line. Age (years) ( x ) 16 18 21 24 28 33 40 Height (feet) ( y ) 5 5.1 5.3 5.55 5.6 5.6 5.6 => y ′ = 4.74 + 0.03 x or y ′ = - 4.74 - 0.03 x or y ′ = - 4.74 + 0.03 x or y &prime..

A group of 10 students attended a class to improve their reading speed. The average reading speed (in words per minute) was measured before and after they took the class. Determine the equation of the regression line. Before class ( x ) 406 350 558 301 259 525 327 312 325 493 Af..

The weight of a calf taken at weekly intervals from the time of birth are shown. The equation of the regression line is y ′ = 20.607 + 4.559 x . Find the coefficients of determination and nondetermination and comment on the variation. Age (weeks) ( x ) 1 2 3 4 5 6 7 8 Weig..

A business man wants to know the likely cost of a new contract based on the data collected from the contracts of the previous years. Determine the equation of the regression line for the data and predict the value for y ′ when x = 30. Years 2000 2001 2002 2003 2004 No.of e..