Question
Suppose you are interested in examining the relationship between a person's height and their mother's height. You randomly select 40 people for your analysis and
Suppose you are interested in examining the relationship between a person's height and their mother's height. You randomly select 40 people for your analysis and record their heights and their mothers' heights in centimetres. You find a linear pattern in the scatterplot of the data. The table given below shows the computer output of the simple linear regression of the data to predict the height of a person based on their mother's:
Predictor | Coefficient | Std Err | t-Value | p-Value |
Constant | 26.271 | 7.856 | 2.85 | 0.008 |
Mother's height | 0.7137 | 0.1586 | 4.67 | 0.000 |
R-squared = 0.468
Assuming the regression coefficients are estimated at a 99% confidence level, which of the following is the correct equation of the regression line?
Y = 0.7137 + 26.271X, where X represents mother's height and Y represents person's height, in centimetres
Y = 26.271 + 0.7137X, where X represents mother's height and Y represents person's height, in centimetres
Y = 0.7137 + 26.271X, where X represents person's height and Y represents mother's height, in centimetres
Y = 26.271 + 0.7137X, where X represents person's height and Y represents mother's height, in centimetres
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started