Question

Explain in words why when we create confidence intervals and prediction intervals using a transformed response...

Explain in words why when we create confidence intervals and prediction intervals using a transformed response variable Y we can’t simply take the inverse transformation of the endpoints to get a confidence or prediction interval in the original units of Y .

Homework Answers

Answer #1

Answer:

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
e. Why is the model prediction uncertain? Why do we have confidence intervals (for the mean...
e. Why is the model prediction uncertain? Why do we have confidence intervals (for the mean prediction and the overall prediction)? f. Why is the difference between the confidence intervals of the mean prediction and the overall prediction?
For this term, we will create confidence intervals to estimate a population value using the general...
For this term, we will create confidence intervals to estimate a population value using the general formula: sample estimator +/- (reliability factor)(standard error of the estimator) Recall that the (reliability factor) x (standard error of the estimator)= margin of error (ME) for the interval. The ME is a measure of the uncertainty in our estimate of the population parameter. A confidence interval has a width=2ME. A 95% confidence interval for the unobserved population mean(µ), has a confidence level = 1-α...
I have an original data set and 4 sets of transformed data to which I applied...
I have an original data set and 4 sets of transformed data to which I applied a two-sample pooled variance t-procedure in R. I am uncertain about to how to interpret the confidence intervals of the transformed data since when I back-transform the endpoints by undoing the original operation, I get values that don't seem anywhere near correct. Each of the transformations that was applied has been added as a suffix to the vector name containing the transformed data (in...
When constructing an approximate confidence interval for a single mean using a large sample size, we...
When constructing an approximate confidence interval for a single mean using a large sample size, we can choose a confidence level that corresponds with the Empirical Rule to determine the critical value, even though our data may not have been sampled from a normal distribution. Explain why we can do this.
My 95% confidence interval of the proportion of times someone goes "Awww" when they see Artemis...
My 95% confidence interval of the proportion of times someone goes "Awww" when they see Artemis is (.67, .89). I calculated this using 1,000 bootstrap samples, where my original sample was 100 showings. For the following scenarios, please pick which of the following confidence intervals would be most appropriate. Explain Why. a. (.72, .83) b. (.67, .89) c. (.52, .99) 1. Instead finding a 90% confidence interval.
These next few questions ask about confidence intervals. a) Bruce Wayne studies. A random sample of...
These next few questions ask about confidence intervals. a) Bruce Wayne studies. A random sample of data on a categorical variable and calculates a 95% confidence interval for the population proportion to be (0.546, 0.674). Determine what the sample proportion must have been, and explain why. b) Suppose Clark and Lois plan to collect separate random samples, with Clark using a sample size of 500 and Lois using a sample size of 1500. Brad plans to construct a 99% confidence...
Check the requirements for confidence intervals using the following information: suppose we want to estimate the...
Check the requirements for confidence intervals using the following information: suppose we want to estimate the mean number of concerts that rock bands schedule every year. A random sample of 75 rock bands finds a mean sample of 38 scheduled concerts every year. with this information, you plan to create a 95% confidence interval for the true mean number of concerts rock bands schedule every year conditions 1. the method of sampling : a. can be safely assumed to be...
In a small-scale regression study, we collected data on the number of children in a family...
In a small-scale regression study, we collected data on the number of children in a family Xi and the number of hours per week spent shopping Yi. The following data were obtained: i 1 2 3 4 5 6 Xi 2 6 3 1 1 9 Yi 13 17 12 12 9 22 Assume we performed a simple linear regression of Yi on Xi, i.e. E(Yi) = ?0 + ?1Xi (a) By hand compute X?X, X?Y, (X?X)-1, b, Y^(means Y-hat),...
1) Explain what inferential statistics is used for 2) Define briefly and in your words the...
1) Explain what inferential statistics is used for 2) Define briefly and in your words the p-value 3) Provide an example where a hypothesis test would be worth doing with a null hypothesis μ1-μ2 = 0, and with an alternative hypothesis of μ1-μ2 ≠ 0 4) Explain why, in confidence intervals, when moving from a case in which the population variance is known to another in which this value is estimated from samples (sample variance), the length of the interval...
Problem #1 Confidence Interval for Means using the t and z Distribution.    Psychologists studied the percent...
Problem #1 Confidence Interval for Means using the t and z Distribution.    Psychologists studied the percent tip at a restaurant when a message indicating that the next day’s weather would be nice was written on the bill. Here are tips from a random sample of patrons who received such a bill, measured in percent of the total bill: 20.8     18.7     19.9     20.6     21.9     23.4     22.8     24.9     22.2     20.3   24.9     22.3     27.0     20.4     22.2     24.0     21.1     22.1     22.0     22.7 Open an...