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This summer you work as an intern at the Center for Native Grasslands Management. As part of your work, you collect measurements to determine the
This summer you work as an intern at the Center for Native Grasslands Management. As part of your work, you collect measurements to determine the relationship between the abundance of native warm season grasses (measured by weight) and amount of fertilizer. Below is your data summary: Measurement Mean Variance Covariance Grass weight (tons/ac) 2.8 8.2 4.0 Fertilizer (tons/ac) 1.2 2.5 The next four questions use the above data. Question 13 3 pts Question 13a): Since amount of fertilizer is easy to control and grass weights are relatively difficult to measure, compute the regression of grass weight on amount of fertilizer. Provide the slope coefficient estimate below. Question 14 3 pts Question 13b): Now provide the intercept coefficient estimate for the regression in question 1a). Question 15 4 pts Question 13c): Given the relationship between the coefficient of determination and the correlation coefficient, compute R2 and report in decimal format to two decimal places. Question 16 3 pts Question 13d): You decide to collect more data and recompute your regression. After doing so, your new equation is y = 3.3 + 2.0x. If one observation had measured grass weight of 3.4 tons/ac and fertilizer of 0.8 tons/ac, compute the associated residual using your new regression equation
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