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Beanie Babies are toy stuffed animals that have become valuable colector's items since the introduction of Ally the Alligator in 1994. Beanie World Magazine provided
Beanie Babies are toy stuffed animals that have become valuable colector's items since the introduction of Ally the Alligator in 1994. Beanie World Magazine provided the information on 50 beanie babies which is available inbeanie.csv. We are interested in determining if age can be used to accurately predict its market value. The unit forage is month and the unit forvalue is dollar. (Hint: you only need to focus on variables ofage andvalue.)
- Plot the scatter diagram ofage (x-axis) versusvalue (y-axis).
- Calculate the Pearson correlation betweenage andvalue.
- Conduct a simple regression analysis and obtain the least square fit forvalue (response variable) onage (predictor).
- Write down the hypotheses (null and alternative) for testing the association betweenage andvalue using a linear line.
- What proportion of the variability invalue is explained by the straight regression line?
- Do the data provide sufficient evidence to indicate that there is a significant association betweenage andvalue? (Use type I error at 0.05)
- Interpret the point estimate of the slope in the fitted linear regression in 3).
- Find a 95% confidence interval for the slope ofAge.
- What value is predicted if age is 6 years old?
- Calculate the corresponding prediction interval in question 9).
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