FREE Trial
Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

The data at the bottom pertains to the question that I have. This data contains the 928 observations Francis Galton used in 1885 to estimate

The data at the bottom pertains to the question that I have.

This data contains the 928 observations Francis Galton used in 1885 to estimate the relationship between the heights of parents and the heights of their children. The column Children refers to the height (in inches) of a child, and the column Mid-Parents refers to the average height (in inches) of the mother and father of that child.

a. Calculate the regression Height of Children = a +b (Height of Mid-Parents).

b. Calculate the average for Height of Children, and calculate the average Height of Mid-Parents.

c. Create a new variable in Excel which is the Height of Children measured in terms of deviations from its mean. Call this new variable y. Also, create a new variable in Excel which is the Height of Mid-Parents measured in terms of deviations from its mean. Call this new variable x. Calculate the regression y = a + bx.

d. If a person's parents are 2 inches above average height, do you predict their children to be above or below average height? And how many inches above or below average height?

e. What fraction of the variation in the heights of children is explained by the heights of their parents?

f. Show the graph of the data with the equation for your regression line from part 2a of this question.

g. Use the F statistic to test the hypothesis that there is no relation between the heights of children and the heights of their parents at the 5% level of significance. Do you reject this hypothesis or not?

h. If you reject the hypothesis in the previous question, what is the probability of a false positive result?

DATA:

Mid-Parents Children
73 72.2
73 73.2
73 73.2
73 73.2
72.5 68.2
72.5 69.2
72.5 69.2
72.5 70.2
72.5 71.2
72.5 71.2
72.5 72.2
72.5 72.2
72.5 72.2
72.5 72.2
72.5 72.2
72.5 72.2
72.5 72.2
72.5 73.2
72.5 73.2
72.5 73.7
72.5 73.7
72.5 73.7
72.5 73.7
71.5 65.2
71.5 66.2
71.5 66.2
71.5 66.2
71.5 67.2
71.5 67.2
71.5 67.2
71.5 67.2
71.5 68.2
71.5 68.2
71.5 68.2
71.5 69.2
71.5 69.2
71.5 69.2
71.5 69.2
71.5 69.2
71.5 70.2
71.5 70.2
71.5 70.2
71.5 70.2
71.5 70.2
71.5 70.2
71.5 70.2
71.5 70.2
71.5 70.2
71.5 70.2
71.5 71.2
71.5 71.2
71.5 71.2
71.5 71.2
71.5 72.2
71.5 72.2
71.5 72.2
71.5 72.2
71.5 72.2
71.5 72.2
71.5 72.2
71.5 72.2
71.5 72.2
71.5 73.2
71.5 73.2
71.5 73.7
71.5 73.7
70.5 61.7
70.5 63.2
70.5 65.2
70.5 66.2
70.5 67.2
70.5 67.2
70.5 67.2
70.5 68.2
70.5 68.2
70.5 68.2
70.5 68.2
70.5 68.2
70.5 68.2
70.5 68.2
70.5 68.2
70.5 68.2
70.5 68.2
70.5 68.2
70.5 68.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 69.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 70.2
70.5 71.2
70.5 71.2
70.5 71.2
70.5 71.2
70.5 71.2
70.5 71.2
70.5 71.2
70.5 72.2
70.5 72.2
70.5 72.2
70.5 72.2
70.5 73.2
70.5 73.2
70.5 73.2
70.5 73.7
70.5 73.7
70.5 73.7
69.5 63.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 64.2
69.5 65.2
69.5 65.2
69.5 65.2
69.5 65.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 66.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 67.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 68.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 69.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 70.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 71.2
69.5 72.2
69.5 72.2
69.5 72.2
69.5 72.2
69.5 72.2
69.5 72.2
69.5 72.2
69.5 72.2
69.5 72.2
69.5 72.2
69.5 72.2
69.5 73.2
69.5 73.2
69.5 73.2
69.5 73.2
69.5 73.7
69.5 73.7
69.5 73.7
69.5 73.7
69.5 73.7
68.5 61.7
68.5 63.2
68.5 63.2
68.5 63.2
68.5 63.2
68.5 63.2
68.5 63.2
68.5 63.2
68.5 64.2
68.5 64.2
68.5 64.2
68.5 64.2
68.5 64.2
68.5 64.2
68.5 64.2
68.5 64.2
68.5 64.2
68.5 64.2
68.5 64.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 65.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 66.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 67.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 68.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 69.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 70.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 71.2
68.5 72.2
68.5 72.2
68.5 72.2
68.5 72.2
68.5 73.2
68.5 73.2
68.5 73.2
67.5 62.2
67.5 62.2
67.5 62.2
67.5 63.2
67.5 63.2
67.5 63.2
67.5 63.2
67.5 63.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 64.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 65.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 66.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 67.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 68.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 69.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 70.2
67.5 71.2
67.5 71.2
67.5 71.2
67.5 71.2
67.5 71.2
67.5 71.2
67.5 71.2
67.5 71.2
67.5 71.2
67.5 71.2
67.5 71.2
67.5 72.2
67.5 72.2
67.5 72.2
67.5 72.2
66.5 62.2
66.5 62.2
66.5 62.2
66.5 63.2
66.5 63.2
66.5 63.2
66.5 64.2
66.5 64.2
66.5 64.2
66.5 64.2
66.5 64.2
66.5 65.2
66.5 65.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 66.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 67.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 68.2
66.5 69.2
66.5 69.2
66.5 69.2
66.5 69.2
66.5 69.2
66.5 69.2
66.5 69.2
66.5 69.2
66.5 69.2
66.5 69.2
66.5 69.2
66.5 69.2
66.5 69.2
66.5 70.2
66.5 70.2
66.5 70.2
66.5 70.2
65.5 61.7
65.5 63.2
65.5 63.2
65.5 63.2
65.5 63.2
65.5 63.2
65.5 63.2
65.5 63.2
65.5 63.2
65.5 63.2
65.5 64.2
65.5 64.2
65.5 64.2
65.5 64.2
65.5 64.2
65.5 65.2
65.5 65.2
65.5 65.2
65.5 65.2
65.5 65.2
65.5 65.2
65.5 65.2
65.5 66.2
65.5 66.2
65.5 66.2
65.5 66.2
65.5 66.2
65.5 66.2
65.5 66.2
65.5 66.2
65.5 66.2
65.5 66.2
65.5 66.2
65.5 67.2
65.5 67.2
65.5 67.2
65.5 67.2
65.5 67.2
65.5 67.2
65.5 67.2
65.5 67.2
65.5 67.2
65.5 67.2
65.5 67.2
65.5 68.2
65.5 68.2
65.5 68.2
65.5 68.2
65.5 68.2
65.5 68.2
65.5 68.2
65.5 69.2
65.5 69.2
65.5 69.2
65.5 69.2
65.5 69.2
65.5 69.2
65.5 69.2
65.5 70.2
65.5 70.2
65.5 70.2
65.5 70.2
65.5 70.2
65.5 71.2
65.5 71.2
65.5 73.7
64.5 61.7
64.5 62.2
64.5 63.2
64.5 63.2
64.5 63.2
64.5 63.2
64.5 64.2
64.5 64.2
64.5 64.2
64.5 64.2
64.5 65.2
64.5 66.2
64.5 66.2
64.5 66.2
64.5 66.2
64.5 66.2
64.5 67.2
64.5 67.2
64.5 67.2
64.5 67.2
64.5 67.2
64.5 69.2
64.5 69.2
63.5 61.7
63.5 63.2
63.5 63.2
63.5 64.2
63.5 64.2
63.5 64.2
63.5 64.2
63.5 65.2
63.5 66.2
63.5 66.2
63.5 67.2
63.5 67.2
63.5 68.2
63.5 69.2

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Algebra A Combined Approach (Subscription)

Algebra A Combined Approach (Subscription)

Authors: Elayn Martin Gay

5th Edition

013417920X, 9780134179209

More Books

Students also viewed these Mathematics questions

Question

★★★★★
Podracer Productions provides the following income statement for the year ended December 31, 2013: Sales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....

Answered: 1 week ago

Question

★★★★★
Fiona Company expects to pay a $2.10 per share cash dividend this year on its common stock. The current market value of Fiona stock is $28.50 per share. Compute the expected dividend yield on the...

Answered: 1 week ago

Question

★★★★★
52. Suppose that X and Y are independent random variables with probability density functions fX and fY . Determine a one-dimensional integral expression for P{X + Y Answered: 1 week ago

Answered: 1 week ago

Question

★★★★★
ABC Audio sells headphones and would like to earn after-tax profits of $400 every week. Each set of headphones incurs variable costs of $5 and sells for $10. Rent and other fixed costs are $200 per...

Answered: 1 week ago

Question

★★★★★
can you please do all of the parts Lynn Parsons is considering investing in either of two outstanding bonds, The bonds both have $1,000 par values and 9% coupon imterest rates and pay annuar...

Answered: 1 week ago

Question

★★★★★
1 what is forecasting? describe a variety of forecasting techniques give examples of both qualitative and Quantitative methods 2 Statistical techniques are a quantitative method outline the key...

Answered: 1 week ago

Question

★★★★★
1. Assemble the electro-pneumatics circuit based on the diagram given. YO A 24V SW1 F K1 K1 SW2 F--) OV AQ A1 20 YI 21 K2 BO A1 81 AO YO Y1 K1 ZO Z1 Results/Discussions. Figure 5.1: Two cylinders...

Answered: 1 week ago

Question

★★★★★
Describe Porter's Five Forces and how they show a company's competitive advantage

Answered: 1 week ago

Question

★★★★★
(15 points) A few weeks after the limits and average case performance were established and agreed upon by the study team, the Authority commissions another round of observations (see below) to...

Answered: 1 week ago

Question

★★★★★
Problem 1 of 2 [60 points] a. Create a hand drawing on a blank sheet with all necessary orthographic views of the object shown below, using your geometry set and compass. Make sure the views are...

Answered: 1 week ago

Question

★★★★★
The rear suspension of a motorcycle can be analyzed as an inverted slider-crank mechanism. The frame of the motorcycle is link 1, and the tire assembly (tire and rim) is attached to link 2 at point...

Answered: 1 week ago

Question

★★★★★
I have a problem on what to do or what the structure of my assignment have to be. 21:55 = 1 Document ject_Brief_2023.pdf 974 + Individual Assignment Project technical evaluation - Subsea tie-back...

Answered: 1 week ago

Question

★★★★★
8. Now spend two to three hours walking around listening to what people are saying. Place yourself in a place where you can hear what people are saying clearly and distinctly, for example in a cafe,...

Answered: 1 week ago

Question

★★★★★
5. Think through your own way of representing the world. What is your main pattern: Visually, verbally, emotions, smells, tastes?

Answered: 1 week ago

Question

★★★★★
1. Think of a situation in the workplace where you meet a person for the first time, which you know you will have a lot to do with in the future. a. Name three things about yourself that you will try...

Answered: 1 week ago

Previous Question Next Question