Final answer:
To estimate the tail length of a 1-year-old raccoon, we use the linear regression equation . At 1 year old (), the predicted tail length is 33.685 cm, which rounds up to 33.7 cm.
Step-by-step explanation:
To estimate the tail length of a raccoon that is 1 year old using the provided simple linear regression results, we use the regression equation, which is of the form y = mx + b where y is the dependent variable (tail length), x is the independent variable (age), m is the slope of the regression line, and b is the y-intercept. In this case, we have the slope (m) as 0.177 and the y-intercept (b) as 33.508.
The formula to calculate the tail length for a raccoon that is 1 year old would be:
y = 0.177x + 33.508
Substituting x with 1, we get:
y = 0.177(1) + 33.508 = 0.177 + 33.508 = 33.685
Rounded to the nearest tenth of a cm, the estimated tail length of a raccoon that is 1 year old would be 33.7 cm.
The complete question is:
The age (years) and tail length (cm) of raccoons were observed. The partial regression results, relating age to tail length is below.
Simple linear regression results:
Dependent Variable: tail length
Independent Variable: age
Parameter estimates:
Parameter= Intercept, slope
Estimates= 33.508, 0.177
Std. Error= 0.43671292, 0.10207608
Estimate the tail length of a racoon that is 1 years old. Round your answer to the nearest tenth of a cm (1 decimal place).