In: Statistics and Probability
The table below shows the arm spans (in inches) and the heights (in inches) of 10 randomly selected people.
Arm Span, x | 51 | 52 | 56 | 49 | 54 | 59 | 58 | 55 | 52 | 56 |
Height, y | 51 | 53 | 54 | 50 | 55 | 57 | 58 | 57 | 52 | 56 |
1) Construct the 1% confidence interval for the population slope β 1. Make sure your answers follow the rounding rule in the direction.
Lower endpoint =
Upper endpoint =
2) Fill in the blanks in the following statement.
We are 99% confident that, among all people, for each additional inch in the arm span, the average height increases by between inches and inches.
Answer:
Given that:
The table below shows the arm spans (in inches) and the heights (in inches) of 10 randomly selected people.
Arm Span, x | 51 | 52 | 56 | 49 | 54 | 59 | 58 | 55 | 52 | 56 |
Height, y | 51 | 53 | 54 | 50 | 55 | 57 | 58 | 57 | 52 | 56 |
1)
2) We are 99% confident that among all people for each additional inch in the arm span the average height increased between 0.382296 inches and 1.198503 inches