I need help number 8 A particular Rowan tree grows in a wide range of altitudes.

Question

I need help number 8

A particular Rowan tree grows in a wide range of altitudes. Researchers collected samples from 12 trees at different altitudes, and measured the dark respiration rate, expressed as mu l of oxygen per hour per mg dry weight of tissue (mu l / hr times mg). The following information gives summary statistics on the data: The thought is the altitude may effect the respiration rate. In addition, we are given that the sample correlation is 0.886665, and SS(resid) = 0.013986. Identify the explanatory/independent variable(X) and response/dependent variable (Y). Calculate the estimated regression line. Interpret the slope of the estimated regression line in terms of the problem. Interpret the intercept of the estimated regression line in terms of the problem (if appropriate). Predict the respiration rate of a tree at altitude 500.

Explanation / Answer

X- independent variable - Altitude

Y - Dependent variable = Respiration rate

b) The regression line passes through ( x bar, y bar ) = (433.333, 0.21)

Slope of regression line = 0.886665* 0.07771/314.617

= 2.19x10-4

y - 0.21 = 433.333(x-2.19*10-4)

y = 433.333x+0.21-0.949

y= 433.333x-0.739

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Slope is the change of y when 1 unit of x is changed

Intercept is the y value when x=0

e) Y(500) = 216667.239

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