STAT 115_Mini project 4 (2)

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University of Missouri, Kansas City *

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115

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Statistics

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Apr 3, 2024

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Name : STAT 115 Mini Project-4 Simple Linear Regression A wildlife analyst gathered data to develop an equation, to predict age of a bear based on the weight of the bear. The scatter diagram and the correlation coefficient were obtained for the data. 1. Based on the Scatter diagram and the linear correlation coefficient, what is the type of association between the variables ‘age of the bear’ and ‘weight of the bear’? Highlight the answer. ( positive / negative) association Olga Ivanova R (correlation coefficient) = 0.74901283
2. The wildlife analyst fitted a simple linear regression model for the data using StatCrunch and obtained the following output. AGE = 5.5938879 + 0.20736432 WEIGHT Parameter estimates: Paramet er Estimate Std. Err. Alternati ve D F T-Stat P- value Intercept 5.593887 9 5.5734918 ≠ 0 5 2 1.00365 95 0.320 2 Slope 0.207364 32 0.0254369 69 ≠ 0 5 2 8.15208 45 <0.00 01 Based on the computer output, what is t he estimated simple linear regression equation? 3. Predict the average age of a bear if the weight of the bear was 250 lbs. ŷ = 0.207x+5.594 57
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