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University of Texas *

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301

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Statistics

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Feb 20, 2024

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6

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The data frame describes features of almost 54,000 diamonds, including the following variables: price: price in U.S. dollars carat: weight of the diamond cut: the quality of the cut, from Fair to Ideal color: a letter code indicating the color of the diamond depth: height of the diamond in millimeters measured from the culet (bottom tip) to the table (flat, top surface) Based on the data in this sample, which of the following events would we consider to be more extreme or unusual? Group of answer choices A diamond has a weight of 0.5 carats. A diamond has a weight of 3 carats. A diamond has a depth of 65 millimeters. A diamond has a depth of 52 millimeters. . Slitherio TheMen which one is more extreme, 52 millimetes or 3 carats? To compare which one is more extreme between a depth of 52 millimeters and a weight of 3 carats, we need to standardize the values by calculating their z-scores. F What is the third quartile of price for diamonds with a 'Fair' cut? Enter your answer rounded to the nearest dollar. 5206
Slitherio TheMen Which of the following statements is accurate with respect to sampling distributions? (1) A sampling distribution is the theoretical distribution of sample estimates across many repeated samples. (2) A sampling distribution summarizes the results of only one particular sample. (3) A sampling distribution is indistinguishable from the distribution of individual data points collected in a sample. 1 only Slitherio TheMen Hooli's streaming entertainment division is developing an exciting new TV series, for which they decide to invest in a Super Bowl commercial. They hope that name recognition for the series will increase from the 35% historical average for similar content with standard marketing budgets. After the commercial runs, the data science team contact a random sample of 1000 people to ask if they recognize the new series name. Their analysis produces a p-value equal to 0.051. Which of the following may we conclude from this result? P= 5.1% (1) If -- before the poll was conducted -- the team declared 0.01 to be the arbitrary cutoff value for statistical significance, they would reject the null hypothesis. (2) If -- before the poll was conducted -- the team declared 0.10 to be the arbitrary cutoff value for statistical significance, they would fail to reject the null hypothesis. (3) This p-value provides a nearly identical amount of practical evidence against a null hypothesis as would a p-value equal to 0.049. Group of answer choices 3 only
Slitherio TheMen To what extent does a patient’s body mass index (bmi) predict the medical insurance charges for their care? T (1) For a patient with a bmi of 40, we would predict their medical charges to be approximately $16,600. (2) If a patient somehow had zero bmi, we’d expect their medical charges to also be zero. (3) The change in charges that we expect for a 10-point increase in bmi is $4,526.52. 1 and 3 Slitherio TheMen To what extent does a patient’s body mass index (bmi) predict the medical insurance charges for their care? The file insurance.csv Download insurance.csvcontains data on 325 patients from the southwest region who incurred medical insurance charges, including the following variables: Fit a linear model for charges in terms of bmi and use bootstrapping with 10000 iterations to generate confidence intervals for model estimates and model fit statistics. Based on this analysis, we are 95% confident that when predicting charges using the regression on bmi, the typical model error is at most _______. Which of the following is closest to the value that you calculate to fill in the blank above, rounded to the nearest thousand dollars ($1,000)? Group of answer choices $4,000 $1,000 $7,000 $10,000 $12,000
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