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Expert-verified Found in: Page 169 ### The Practice of Statistics for AP

Book edition 4th
Author(s) David Moore,Daren Starnes,Dan Yates
Pages 809 pages
ISBN 9781319113339 # Some data were collected on the weight of a male white laboratory rat for the first 25 weeks after its birth. A scatterplot of the weight (in grams) and time since birth (in weeks) shows a fairly strong, positive linear relationship. The linear regression equation weight = 100 + 40(time) models the data fairly well. 2. What’s the y intercept? Explain what it means in context.

The value of y-intercept $\left(a\right)$ is $100$

See the step by step solution

## Given

We are given the linear regression equation of weight on time:

$\text{weight = 100 + 40(time)}$

## Calculation

We know that for a linear regression equation of the form:

$y=a+bx$

The value of y-intercept is a.

Therefore value of y-intercept for the given equation will be $100.$

## Interpretation

The value of y-intercept that is $a=100$ means that if we were to keep the value of time 0, weight will be 100. That is initally we assume the weight to be $\text{100 units.}$ ### Want to see more solutions like these? 