Question

Q.3 A study was performed on a certain river to investigate how the distance from the mouth of the river in km) relates to the concentration of iron in the water in g/L). Ten observations were collected. Some summary statistics of the data are provided below. di = 30 yi = 492.0 x = 106.3 y = 24381.8 Xiyi = 1527.8 a) Calculate the least squares regression line for the simple linear regression model y = Bo + B12; +. b) Interpret the estimates of Bo and B, from (a). c) In two sentences or less: Why should we always include "on average" in our interpreta- tion of B? d) The sum of squared errors from the fitted model can be written as SSE = Syy- Give the standard errors for your estimates in (a). e) Perform an appropriate hypothesis test at significance level a = 0.05 to determine whether the distance from the mouth of the river has a significant effect on the concen- tration of iron in the water. f) Construct and interpret a 95% confidence interval for the true slope. g) In two sentences or less: How does your confidence interval from (f) relate to the hy- pothesis test from (e)?

please do e,f,g

Answer 1

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