Reference no: EM133035897
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
Answer the next three questions based on the paragraph given above. You need not use any spreadsheet software for this purpose. The results required to answer the questions are given in the comprehension.
Question 1/3MandatoryHypothesis
Which of the following options shows the correct null and alternative hypotheses for the simple linear regression?
H0: Regression coefficient of mother's height > 0
Ha: Regression coefficient of mother's height < 0
H0: Regression coefficient of person's height ≠ 0
Ha: Regression coefficient of person's height = 0
H0: Regression coefficient of mother's height < 0
Ha: Regression coefficient of mother's height > 0
H0: Regression coefficient of mother's height = 0
Ha: Regression coefficient of mother's height ≠ 0