1. What is the equation of the least squares regression line for predicting their weights from their heights?  2. I'm 35 inches tall. Predict my weight.  3. What percent of all preschoolers are shorter than me?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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1. What is the equation of the least squares regression line for predicting their weights from their heights? 

2. I'm 35 inches tall. Predict my weight. 

3. What percent of all preschoolers are shorter than me?

The heights and weights of 500 preschoolers have correlation r 0.52.
The average height is 30 inches, the average weight is 40 pounds, the
standard deviation of their heights is 4.6 inches, and the standard
deviation of their weights is 6.2 pounds. Heights and weights are
approximately normally distributed in this particular population.
Transcribed Image Text:The heights and weights of 500 preschoolers have correlation r 0.52. The average height is 30 inches, the average weight is 40 pounds, the standard deviation of their heights is 4.6 inches, and the standard deviation of their weights is 6.2 pounds. Heights and weights are approximately normally distributed in this particular population.
Expert Solution
Step 1

Linear Regression:

It is a model with one dependent variable with one independent variable to predict the response variable from the explanatory variables. Also in the model, there is the intercept and the slopes of the explanatory variables.

y=β0 + β1x1 + ε.

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