Practice 9. Consider the following data that relates x= rainfall volume (m³) and y=runoff volume (m³) for a particular location. From a random sample of size n = 10, we have that 71 n n n Σ* = 229, Σx = 7155, Σy = 103, Σy = 1285 i=1 i=1 i=1 i=1 n Σriyi = 2958, i=1 n Σ(ui - βο – βια;)2 = 36.1464 i=1 (a) Find the least squares line, by calculating the estimates of the slope 3₁ and the intercept Bo and state the interpretation of the regression line. Round your answer to four decimal places. Slope = Intercept = (b) Calculate a point estimate of the true average runoff volume when rainfall volume is 51. Round your answer to three decimal places. (c) Calculate the coefficient of determination, and discuss whether the estimated regression line well represents the association between rainfall and runoff volumes.

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Practice 9. Consider the following data that relates x= rainfall volume (m³) and y=runoff
volume (m³) for a particular location. From a random sample of size n = 10, we have that
Slope
*WI WI
=
n
Σv = 229, Σx = 7155, Yi =
i=1
i=1
n
Σ Xiyi = 2958,
n
Σ(; – βο – βια;)2
-
i=1
(a) Find the least squares line, by calculating the estimates of the slope ₁ and the intercept
Bo and state the interpretation of the regression line. Round your answer to four decimal
places.
n
103, ) sỉ =1285
i=1
Intercept =
= 36.1464
(b) Calculate a point estimate of the true average runoff volume when rainfall volume is 51.
Round your answer to three decimal places.
(c) Calculate the coefficient of determination, and discuss whether the estimated regression
line well represents the association between rainfall and runoff volumes.
Transcribed Image Text:Practice 9. Consider the following data that relates x= rainfall volume (m³) and y=runoff volume (m³) for a particular location. From a random sample of size n = 10, we have that Slope *WI WI = n Σv = 229, Σx = 7155, Yi = i=1 i=1 n Σ Xiyi = 2958, n Σ(; – βο – βια;)2 - i=1 (a) Find the least squares line, by calculating the estimates of the slope ₁ and the intercept Bo and state the interpretation of the regression line. Round your answer to four decimal places. n 103, ) sỉ =1285 i=1 Intercept = = 36.1464 (b) Calculate a point estimate of the true average runoff volume when rainfall volume is 51. Round your answer to three decimal places. (c) Calculate the coefficient of determination, and discuss whether the estimated regression line well represents the association between rainfall and runoff volumes.
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