The decline of water supplies in certain areas of the United States has created

Question

The decline of water supplies in certain areas of the United States has created the need for increased understanding of relationships between economic factors such as crop yield and hydrologic and soil factors. An article gives data on grain sorghum yield (y, in g/m-row) and distance upslope (x, in m) on a sloping watershed. Selected observations are given in the accompanying table. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) P-value = State the conclusion in the problem context. Reject H_0. The model does not specify a useful relationship. Fail to reject H_0. The model does not specify a useful relationship. Reject H_0. The model specifies a useful relationship. Fail to reject H_0. The model specifies a useful relationship. Does the simple linear regression model appear to be plausible? Yes, it appears to be plausible. No, it does not appear to be plausible. (b) Carry out a test of model utility. State the appropriate null and alternative hypothesis. (Use alpha = 0.05) H_0: beta_1 = 0 H_a: beta_1 notequalto 0 H_0: beta_1 notequalto 0 H_a: beta_1 = 0 H_0: beta_1 = 0 H_a: beta_1 0 (c) Estimate true average yield when distance upslope is 75 by giving a 95% confidence interval. (Round your answers to one decimal place.) g/m-row

Explanation / Answer

1) t-value= -4.32

2)

CALCULATION:

EXCEL FORMULA:

95% CI: UPPER= 439.9275 LOWER= 431.7031

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