regression line equations

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 h..

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..

The regression line equation is given as y ′ = 44.076 - 1.141 x . The following values are also given. ∑ x = 88, ∑ y = 120, ∑ x 2 = 1782, ∑ y 2 = 3356, ∑ x y = 1846 and n = 5. Compute the standard error of the estim..

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..

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..

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. S..

Which of the following models a linear regression? => y = a + b ln x or y = ax b or y = ax + b or y = ab x..

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..

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 ..

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 20..