least regression 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..

General form of the regression line used in statistics is ____ and the y ′-intercept and the slope respectively are => y ′ = a + bx , a , b or y ′ = ax 2 + b , b , a or y ′ = a + bx 2 , a , b or y ′ = ax + b , b , a..

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 ′..

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 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 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..