Problem 2. In a survey to investigate why bones become more brittle in older women, the density of bone material was measured in 24 post-menopausal women of contrasting ages. Bone density is given as a percentage of the average density in young women. Does bone density change significantly with age? Age (years) 43 49 56 58 61 63 64 66 68 70 72 73 Relative bone 108 85 92 90 84 83 73 79 80 76 69 71 density Age (years) 74 74 76 78 80 83 85 87 89 92 95 98 Relative bone 65 64 67 58 50 61 59 53 43 52 49 42 density State the Question: Biological Question Statistical Question Null Hypothesis: Biological Null Hypothesis Statistical Null Hypothesis Create a Visualization (attach as separate page) Calculate Test Statistic with Significant Value Draw an Inference Additional question: What is the expected bone density of women of age 70? (2 pts)
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Hoan N.
Ivan K.
The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, y ˆ = b 0 + b 1 x y^=b0+b1x , for predicting a woman's bone density based on her age. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Age 48 48 51 51 56 56 60 60 69 69 Bone Density 351 351 320 320 318 318 311 311 310 310 Find the estimated y-intercept. Round your answer to three decimal places.
Jerelyn N.
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