Consider the points in the plane: (1,2) (2,3) (3,5) (4,4) (5,7) (7,8) (i) Compute the correlation coefficient. (ii) Compute the equation for the regression line.
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Consider the points in the plane: (1,2) (2,3) (3,5) (4,4) (5,7)
(7,8)
(i) Compute the
(ii) Compute the equation for the regression line.
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- Let the equations of the regression lines be expressed as 8X-2Y = 0 and 3Y-2X =9. Then find the correlation between X and Y ?For these (x,y) pairs of data points: 1,5 3,7 4,6 5,8 7,9 Compute . Compute . What is the equation of the regression line?In a laboratory experiment on correlation research study the equation of the two regression lines were found to be 2X–Y+1=0 and 3X–2Y+7=0 Find the correlation between the two variables X and Y. Interpret the result as well.
- The slope of a regression line (y on x) is -0.24, we know that SDy=3.2 and SDx=4.0, then the correlation coefficient between the two variables is:A. 0.3B. -0.3C. 0.8D. -0.8Calculate the equation of the regression line and calculate the correlation coefficientIf there is a positive correlation between X and Y then in the regression equation, Y = bX + a, ____.
- If there is a positive correlation between X and Y, then the regression equation Y = bX + a will have _____.Suppose that you run a correlation and find the correlation coefficient is -0.256 and the regression equation is ˆy=−5.8x+56.92y^=-5.8x+56.92. The means of your data were ¯x=6.9x¯=6.9 and ¯y=17.4y¯=17.4.If the critical value is .606, use the appropriate method to predict the yy value when xx is 5.4The table presents data on the taste test of 38 brands of pinot noir wine [data were first reported in an article by Kwan, Kowalski, and Skogenboe in the Journal Agricultural and Food Chemistry (1979, Vol. 27), the response variable is y = quality, and we want to find the "best" regression equation that relates quality to the other five parameters
- If the correlation of the X's is equal to 1 or -1, then the regression cannot process. Why?If the points (x1, y1), (x2, y2),..., (xn, yn) lie on a straight line, what can you say about the regression line associated with these points?It is known that the linear regression equation: y= -2.88+1.77x, with a coefficient of determination of 0.81. Based on the two information, the correlation coefficient is