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Show transcribed image text (8 pts.) 7. BONUS To keep golf courses attractive in the arid southwest, groundskeepers carefully monitor salt content in water used for irrigation. It is believed that high salt concentration can damage plants and grass. A random sample of golf courses in the southwest was obtained and a sample of water used for irrigating was obtained for each. The following variables were measured for each water sample: dissolved salt (y, dS/m), total dissolved solids (x,, mg/L), sodium, calcium magnesium, and bicarbonate (x2, X3, X4, and X5, all in milliequiv-alents/liter). The following are the results from SAS Analysis of Variance Sum of M ean DF Squares Square F Value Pr> Source Model Error Corrected Total 9 6.50100 5 6.470931.29419 172.18 t 1 0.05103 0.17107 0.30 0.7803 10.00279 0.00047413 -5.88 0.0042 1 0.32472 0.03398 9.56 0.0007 1 0.27769 0.04089 6.79 0.0025 (1 pt.) a) What is the formula for the estimated regression line? (6 pts.) b) Is the overall regression significant at a significance level of 0.01? Hint: Perform an F test at a significance level of 0.01 (1 pt.) c) Which of the variables are linearly associated with the salt content in water assuming that the rest of the variables are in the model? You may assume a significance level of 0.01 You do not have to perform any significance tests but you have to explain how you arrive at your answer Additional Problems: 12.143
(8 pts.) 7. BONUS To keep golf courses attractive in the arid southwest, groundskeepers carefully monitor salt content in water used for irrigation. It is believed that high salt concentration can damage plants and grass. A random sample of golf courses in the southwest was obtained and a sample of water used for irrigating was obtained for each. The following variables were measured for each water sample: dissolved salt (y, dS/m), total dissolved solids (x,, mg/L), sodium, calcium magnesium, and bicarbonate (x2, X3, X4, and X5, all in milliequiv-alents/liter). The following are the results from SAS Analysis of Variance Sum of M ean DF Squares Square F Value Pr> Source Model Error Corrected Total 9 6.50100 5 6.470931.29419 172.18 t 1 0.05103 0.17107 0.30 0.7803 10.00279 0.00047413 -5.88 0.0042 1 0.32472 0.03398 9.56 0.0007 1 0.27769 0.04089 6.79 0.0025 (1 pt.) a) What is the formula for the estimated regression line? (6 pts.) b) Is the overall regression significant at a significance level of 0.01? Hint: Perform an F test at a significance level of 0.01 (1 pt.) c) Which of the variables are linearly associated with the salt content in water assuming that the rest of the variables are in the model? You may assume a significance level of 0.01 You do not have to perform any significance tests but you have to explain how you arrive at your answer Additional Problems: 12.143
