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Statistics Question

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posted 11 hours ago (last edited 5 hours ago)

[Image unavailable: User's profile picture]Victoria Caal

Week 6 Discussion Attachment

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The regression equation is:
Height = 6.5235(Age) + 75.9137

Input and output variables: The input variable (x) is Age in years. The output variable (y) is Height in centimeters. The value 75.9137 represents the predicted height at age 0 (the y-intercept).

Correlation coefficient: r = 0.9898 This indicates a very strong positive linear relationship between age and height. As age increases, height increases nearly perfectly linearly.

Coefficient of determination: R² = 0.9797 This means about 97.97% of the variation in height can be explained by age using this linear model. This shows the model fits the data extremely well.

Appropriate interval of ages: This regression equation is appropriate for ages 1 to 11 years, since that is the range of the data used to build the model. Predictions outside this range may not be reliable.


Week 6 Discussion.xlsx