regression line residual

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..

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 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 model. III. 1 - R ..

Which of the following statement(s) is/are true? I. A multiple regression equation with three independent variables x 1 , x 2 and x 3 and one dependent variable would have the form y′ = a + b 1 x 1 + b 2 x 2 + b 3 x 3 . II. A multiple regression equation with two independe..

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..

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 ′..

Determine the equation of the regression line for the data and predict the value for y ′ when x = 3.0. x 2.1 1.7 1.1 1.5 2.7 y 40 37 35 36 42 => y ′ = 29.438 - 4.704 x , 15.326 or y ′ = 4.704 + 29.438 x , 93.018 or y ′ = 4.704 + 29.438 x , 43.55 or y &pri..

If a company wants to attain a sales target of $100,000, then what should be the advertising budget? The sales and advertising budget of each month for the last six months are as shown. Determine the equation of the regression line and predict the advertising budget. Sales (in 1..

The number of items produced per month and the total costs incurred by a company is shown. Determine the equation of the regression line and plot the line on the scatter plot. No.of items (in 10000) ( x ) 8 3 4 7 6 3 6 8 5 6 4 4 Costs incurred (in 10000 $) ( y ) 10 5 7..

The percentage scores of 6 students in mathematics exam and statistics exam are shown. The equation of the regression line is y ′ = - 14.201 + 1.27 x . Find the coefficients of determination and nondetermination and comment on the variation. Percentage scores in Mathematic..