Sir Francis Galton, a cousin of James Darwin, examined the relationship between the height of children and their parents towards the end of the 19th century. It is fromthis study that the name "regression" originated. You decide to update his findings by collecting data from 110 college students, and estimate the following relationship:Studenth=19.6+ 0.73x Midparh, R²=0.45, SER=2.0(7.2) (0.10)where Studenth is the height of students in inches, and Midparh is the average of the parental heights. Values in parentheses are heteroskedasticity robust standarderrors. (Following Galton's methodology, both variables were adjusted so that the average female height was equal to the average male height.) For the followingquestions except (d), type your answers in two decimal places.(a) If we test for the statistical significance of the slope coefficient, the relevant t-statistic is t =(b) Construct a 95% confidence interval for a one inch increase in the average of parental height: ((c) The prediction for the height of a child whose parents have an average height of 70.06 inches is(d) The model explainspercent of the variation in the height of students. Hint: type an integer.inches.

The given slope is 0.73 and standard error of the slope is 0.10.

Answered: Sir Francis Galton, a cousin of James…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Sir Francis Galton, in the late 1800 s, was the first to introduce the statistical concepts of regression and correlation. He studied the relationships between pairs of variables such as the size of parents and the size of their offspring. Data similar to that which he studied are given below, with the variable x denoting the height (in centimeters) of a human father and the variable y denoting the height at maturity (in centimeters) of the father's oldest (adult) son. The data are given in tabular form and also displayed in the scatter plot below, which gives the least-squares regression line as well. The equation for this line is y =95.35 +0.48 x Height of Height of son, father, x (in centimeters) centimeters) y (in 175.8 178.1 193.5 190.3 210. 183.2 176.6 173.3 171.1 200- 183.8 186.5 190. 175.8 175.6 180 159.8 167.2 xx 170 155.5 175.8 162.0 172.1 160- 190.9 188.0 150 180.1 187.1 Tdo ito Ido 130 200 z1o 186.9 177.5 171.5 181.5 Height of father, x (in centimeters) 190.5 195.7 201.0…
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Sir Francis Galton, in the late 1800s, was the first to introduce the statistical concepts of regression and correlation. He studied the relationships between pairs of variables such as the size of parents and the size of their offspring. Data similar to that which he studied are given below, with the variable x denoting the height (in centimeters) of a human father and the variable y denoting the height at maturity (in centimeters) of the father's oldest son. The data are given in tabular form and also displayed in the Figure 1 scatter plot. Height of father, X (in centimeters) 157.4 178.6 200.6 174.2 187.2 176.2 184.0 172.5 190.5 160.8 171.6 183.5 191.5 190.7 162.1 Height of son, y (in centimeters) 174.8 189.5 191.3 179.0 175.4 174.5 177.6 170.5 187.4 171.7 181.6 188.8 191.2 194.3 167.6 Send data to calculator V Send data to Excel What is the value of the slope of the least-squares regression line for these data? Round your answer to at least two decimal places. 210- What is the…
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Sir Francis Galton, in the late 1800s, was the first to introduce the statistical concepts of regression and correlation. He studied the relationships between pairs of variables such as the size of parents and the size of their offspring. Data similar to that which he studied are given below, with the variable x denoting the height (in centimeters) of a human father and the variable y denoting the height at maturity (in centimeters) of the father's oldest son. The data are given in tabular form and also displayed in the Figure 1 scatter plot. Also given is the product of the father's height and the son's height for each of the fifteen pairs. (These products, written in the column labelled "xy", may aid in calculations.) Height of father, x (in centimeters) 176.6 181.3 171.6 158.3 181.5 190.5 161.2 191.2 175.9 Height of son, y (in centimeters) 173.4 188.9 180.7 175.0 176.3 189.2 168.5 194.8 179.5 191.3 171.2 200.0 170.1 192.2 162.0 186.8 184.9 Send data to calculator 190.9 172.1 176.4…

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