Problem 3A teacher measured the hours of study of seven students in one week and compared the resultswith their grades.y (grade)9092100x (study hours)241928857076952014152957a) Fit a simple linear regression model with y= grade and x = study hours. Use 3 decimal places.b) What is the expected grade of a student who study 25.5 hours?

Answered: Image /qna-images/answer/4a2ff752-2c6d-4f53-9626-bf55d2cdfe2a.jpg

Answered: Problem 3 A teacher measured the hours…

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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Stoaches are fictional creatures that nest in truffula forests. A researcher wants to know whether there is a relationship between a stoach’s wingspan (?W, the predictor) and its nest height (?H, the response). A sample of 85 stoaches is observed, and for each, the wing-span (in cm) and the nest height (in m) are recorded. The observed data meet the assumptions for a linear regression, so the researcher fits the regression model and obtains a regression equation ℎ̂=−4.273+0.834?,h^=−4.273+0.834w, with standard error for the coefficient of ?w equal to 0.242. Determine the ?p-value from a test for a statistically significant linear dependence of nest height on wing-span. (Give your answer to 4 decimal places.
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A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 10 8 6 13 19 18 27 10 7 Money 58 25 41 51 84 81 87 45 15 1. The equation of the linear regression line is: ˆyy^ = ______ +_____ xx (Please show your answers to two decimal places)
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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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The following table shows the approximate amount of trash produced in an industrialized country from 1980 to 2000. Let x represent the year after 1980 (1980 is year 0) and y represent the amount of trash (millions of tons). Year Million Tons 1980 150 1990 202 2000 220 (a) Draw the graph for this data. (b) Find the equation of the regression line for the data. (Round your answers to one decimal place.)y = x + (c) Use the equation to predict the amount of trash y that will be produced in 2010 and 2015. (Round your answers to one decimal place.) 2010: _______million tons 2015: _______ million tons

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