Exercise 16 of Section 12.2 gave data on x = rainfall volume and y = runoff volume (both in m 3 ). Use the accompanying Minitab output to decide whether there is a useful linear relationship between rainfall and runoff, and then calculate a confidence interval for the true average change in runoff volume associated with a 1 m 3 increase in rainfall volume.
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Your predict.lm code is calculating confidence intervals for the fitted values. Your hand calculation is calculating prediction intervals for new data. If you want to get the same result from predict.lm that you got from the hand calculation then change interval="confidence" to interval="prediction"
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This option calculates a prediction interval for a future response, based on a list of explanatory data, a list of response data, a value of the explanatory variable (X), and a confidence level.
90% Bonett conﬁdence intervals for standard deviations of v1, v2, and v3 ci variances v1-v3, sd bonett level(90) Conﬁdence interval for a mean based on a sample with 85 observations, a sample mean of 10, and a standard deviation of 3 cii means 85 10 3 90% conﬁdence interval for rate from a sample with 4,379 deaths over 11,394 person-years
Jan 26, 2014 · I know that the 0.0013 is the slope of the linear trend of monthly observations and to calculate a 10-year trend I would multiply by 120 (months). But it is not clear what numbers I would use to calculate a single '±' that is interpreted as the 95% confidence interval.