Mathematics, 03.05.2021 05:50 marieb39
Heath is sleep scientist. He is conducting a study using a random sample of 24 adults who share their sleep data with Apple as recorded on their smart watch. For each randomly selected adult, he records two pieces of information from their most recently reported data: how many minutes of deep restful sleep they obtained and how many hours they slept in total. Here is some computer output from a least-squares regression analysis of the data
Predictor Coef Stdev. T P
Constant 69.770 56.086 1.244 0.227
Total Sleep 35.576 7.356 4.836 0.000
S = 27.446 R-Sq = 51.5% R-Sq(adj) = 49.3%
Construct and interpret a 99% confidence interval for the slope of the population regression line for predicting the amount of restful sleep (minutes) from the amount of total sleep (hours).
We are 99% confident that the interval given above captures the slope of the regression line relating y = to x = for all adults who share their sleep data with Apple
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