A 95 percent confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505, 6.696). The confidence interval is based on a random sample of n raw foods. A check of the conditions for inference on the slope shows they are reasonably met. Which of the following is a correct interpretation of the interval? Ninety-five percent of all such samples of size n will produce a sample slope between 2.505 and 6.696 for the regression line relating grams of carbohydrates and kilocalories per 100-gram sample of various raw foods.

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A 95 percent confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505, 6.696). The
confidence interval is based on a random sample of n raw foods. A check of the conditions for inference on the slope shows they are reasonably met.
Which of the following is a correct interpretation of the interval?
Ninety-five percent of all such samples of size n will produce a sample slope between 2.505 and 6.696 for the regression line relating grams of carbohydrates and kilocalories per 100-gram sample of
various raw foods.
The probability is 0.95 that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-gram sample of various raw foods is between 2.505 and 6.696.
C
We are 95 percent confident that the slope of the regression line for the random sample of n raw foods is between 2.505 and 6.696.
We are 95 percent confident that the predicted number of kilocalories per 100-gram sample will be between 2.505 and 6.696.
We are 95 percent confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-gram sample of various raw foods is between 2.505 and 6.696.
Transcribed Image Text:A 95 percent confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505, 6.696). The confidence interval is based on a random sample of n raw foods. A check of the conditions for inference on the slope shows they are reasonably met. Which of the following is a correct interpretation of the interval? Ninety-five percent of all such samples of size n will produce a sample slope between 2.505 and 6.696 for the regression line relating grams of carbohydrates and kilocalories per 100-gram sample of various raw foods. The probability is 0.95 that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-gram sample of various raw foods is between 2.505 and 6.696. C We are 95 percent confident that the slope of the regression line for the random sample of n raw foods is between 2.505 and 6.696. We are 95 percent confident that the predicted number of kilocalories per 100-gram sample will be between 2.505 and 6.696. We are 95 percent confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-gram sample of various raw foods is between 2.505 and 6.696.
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