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b. From the graph, approximate the predicted height of the daughter of a mother who is 60 inches ( 5 feet) tall. The predicted height of the daughter of a mother who is 60 inches tall is about 60.33 inches. (Round to the nearest inch as needed.) c. From the equation, determine the predicted height of the daughter of a mother who is 60 inches tall. The predicted height of the daughter of a mother who is 60 inches tall is about (Round to two decimal places as needed.) d. Interpret the slope. Choose the correct answer below. A. For each additional inch in the mother's height, the average daughter's height increases by about 0.437 inch.

Ask by Lewis Chambers. in the United States
Feb 26,2025

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b. The daughter's height is about 60 inches. c. The predicted height is approximately 60.33 inches. d. For each additional inch in the mother's height, the daughter's height increases by about 0.437 inches.

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Below are the answers for parts (b)–(d): b. By looking at the graph, the daughter’s height when the mother is 60 inches tall is approximately 60.33 inches. When rounded to the nearest inch, this is about 60 inches. c. Using the regression equation (which must have the form y = (intercept) + 0.437·(mother’s height)), substitute 60 for the mother’s height. For example, if the equation were   daughter’s height = 34.11 + 0.437(60) then   daughter’s height = 34.11 + 26.22 = 60.33 inches. Rounded to two decimal places, the predicted height is 60.33 inches. d. The slope in the regression equation is 0.437. This means that for each additional inch in the mother’s height, the average daughter’s height increases by about 0.437 inch. Choice A is correct. Remember that the answers in parts (b) and (c) are consistent with one another; the graph gives an approximate answer (60.33 inches, which rounds to about 60 inches) and the equation confirms this value.

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Isn't it fascinating how height can be analyzed statistically? The prediction of a daughter's height based on her mother's height is rooted in biological research that considers genetic and environmental factors, making it a great example of how data can illuminate human traits. This method can be seen across various fields, from genetics to anthropology, helping us understand trends in population height! When assessing the slope of the equation, it's handy to decode its significance! In this case, the slope indicates that for every extra inch the mother grows, her daughter's average height is expected to increase by roughly 0.437 inches. This understanding emphasizes the positive correlation between a parent's and child's height, showcasing the hereditary nature of physical traits. What a great way to illustrate the inheritance of traits!

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