How does a person’s height relate to the height of their parents

1. Heritability  How does a person’s height relate to the height of their parents? The adult heights (inches) of 898 children from 197 families were collected. In addition, the investigators also gathered the heights of the mother and father from each family. The data are reported in the Heritability.csv dataset (see Data Repository). Using this data, answer the following questions.  Under which of the following situations is simple linear regression NOT suitable?
   

   Residuals or error of the regression are normally distributed

   There is a linear relationship between the response and independent variable.

   The response variable is continuous.

   The response variable is categorical.

1 points

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QUESTION 2

1. Calculate the correlation between a person’s height and their father’s height. Round your answer to three decimal places.

1 points

QUESTION 3

1. Which of the following best describes the nature of the correlation between height and father’s height?.
   

   No correlation

   Non-linear

   Positive

   Negative

1 points

QUESTION 4

1. What was the correct Null hypothesis for the hypothesis test of the correlation between a person’s height and their father’s height?
   

   H0: ρ = 1

   H0: ρ ≠ 0

   H0: ρ = -1

   H0: ρ = 0

1 points

QUESTION 5

1. What was the correct Alternate hypothesis for the hypothesis test of the correlation between a person’s height and their father’s height?
   

   HA: ρ = 1

   HA: ρ ≠ 0

   HA: ρ = 0

   HA: ρ = -1

1 points

QUESTION 6

1. What was the p-value for the correlation between a person’s height and their father’s height? Round your answer to three decimal places. If the p-value was less than 0.001, round to 0.001.

1 points

QUESTION 7

1. Calculate the lower bound of the 95% CI for the correlation between a person’s height and their father’s height. Round your answer to three decimal places.

1 points

QUESTION 8

1. Calculate the upper bound of the 95% CI for the correlation between a person’s height and their father’s height. Round your answer to three decimal places.

1 points

QUESTION 9

1. Which of the following statements best describes the correlation between a person’s height and their father’s height?
   

   The height of a father determines the height of a child.

   There was a statistically significant positive correlation between a person’s height and their father’s height.

   There was no relationship between a person’s height and their father’s height .

   There was NO statistically significant correlation between a person’s height and their father’s height .

1 points

QUESTION 10

1. Perform a simple linear regression using father’s height to predict a person’s height. What was the r-square value of the regression model? Round your answer to three decimal places.

1 points