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Q. 1.2

Expert-verifiedFound in: Page 169

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 $100$

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

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

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 $100.$

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 $\text{100 units.}$

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