equation for a regression line

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..

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 o..

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 ..

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..

The university authorities wanted to predict a student's grade on a statistics midterm score based on his/her SAT scores. Determine the correlation coefficient and the equation of the regression line for the data and predict the value of y ′ when x = 900. Test th..

A teacher wishes to know whether there is any relationship between the hours of study and the test scores of the students. Ten students were selected randomly and were given a test. Test the hypothesis that there is a significant relationship between hours of study and test scores at α = 0.01..

Determine the equation of the regression line for the data and predict for y ′ when x 1 = 9, x 2 = 15. x 1 3 4 5 6 7 8 x 2 1 4 2 5 8 7 y 38 152 111 289 592 612 => y ′ = - 251.8 - 56.99 x 1 + 52.73 x 2 ; 26 or y ′ = - 251.8 + 56.99 x 1 + 52.73 x 2 ; 10..

A pizza outlet owner wants to know the relationship between the student population and the sales in his outlet using the previous years data. Determine the equation of the regression line and predict the value for y ′ when x = 50. Month Jan Feb Mar Apr May Jun Ju..