Question

Scenario 2: Differences from Dad

Fathers transmit many more new mutations than do mothers to their babies at conception. These mutations occur from copying errors during sperm production. A recent study investigated whether the father’s age affects this process; authors used complete genome sequencing on n = 21 father-child pairs to tally the total number of new mutations inherited from each father. Results of the associated regression analysis are shown below:

Question 7 (1 point)

Suppose a father had a child when he was 25 years old and a second child when he was 30. Approximately how many more genetic mutations would we predict the second child would have, relative to the first? Submit your answer rounded out to four decimal places.

Your Answer:

Question 7 options:

Answer

Question 8 (1 point)

For the n = 21 father-child pairs in the study, the standard deviation of the response variable was sy=1.9837sy=1.9837 sx=3.833sx=3.833

Your Answer:

Question 8 options:

Answer

Question 9 (1 point)

What proportion of the variation in the response can we NOT explain by its linear relationship with the explanatory variable [i.e., what proportion of the variation in the number of new mutations can't be explained by the age of the father]? Submit your answer rounded out to four decimal places.

Your Answer:

Question 9 options:

Answer

Question 10 (1 point)

Suppose this model was used to predict the number of new genetic mutations for the child of a father who was 55 years old. Which of the following presents the most responsible interpretation of this prediction?

Question 10 options:

	This prediction likely would not be reliable, because x = 55 lies far beyond the domain of ages of the original n = 21 fathers.
	This prediction would be reliable, because there is no evidence the linear pattern between x and y would fail to extend to x = 55.
	None of these interpretations can be considered statistically responsible.
	This prediction would be reliable, because it produces an interpretable prediction.
	More than one of these interpretations can be considered statistically responsible.
	This prediction likely would not be reliable, because the prediction yˆy^

Answer 1

Since there is no values, I have taken the foolowing table

mean	std error
2.6624	4.5554
0.5547	0.0668

7. So, number of genetic mutations = mean * (30-25) = 0.5547 * 5 = 2.7735

8. For this, the R-value will be required which is missing.

9. The values for the results of the associated regression analysis are necessary here as well

10. This prediction is likely not to be reliable, because x = 55 lies far beyond the domain of ages of the original n = 21 seems to fit the case with most numericals of this kind. You are likely to have data for max x = 45.