From the below table, Use excels to find the answer for the below questions: State Percentage Proficient in Reading Percentage Proficient in Mathematics California 60 59 Texas 73 78 New York 75 70 Florida 66 68 Illinois 75 70 Pennsylvania 79 77 Ohio 79 76 Michigan 73 66 Georgia 67 64 North Carolina 71 73 Activities: Compute the least-squares regression line for predicting math proficiency from reading proficiency. Interpretation of the least-squares regression line in part a.

From the below table, Use excels to find the answer for the below questions: State Percentage Proficient in Reading Percentage Proficient in Mathematics California 60 59 Texas 73 78 New York 75 70 Florida 66 68 Illinois 75 70 Pennsylvania 79 77 Ohio 79 76 Michigan 73 66 Georgia 67 64 North Carolina 71 73 Activities: Compute the least-squares regression line for predicting math proficiency from reading proficiency. Interpretation of the least-squares regression line in part a.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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The following data show the advertising expenses(expressed as a percentage of total expenses) and thenet operating profits (expressed as a percentage of totalsales) in a random sample of six drugstores:Advertising Net operatingexpenses profits1.5 3.61.0 2.82.8 5.40.4 1.91.3 2.92.0 4.3 (a) Fit a least squares line that will enable us to predictnet operating profits in terms of advertising expenses.(b) Test the null hypothesis α = 0.8 against the alterna-tive hypothesis α > 0.8 at the 0.01 level of significance.
The following table shows the assessed values and the selling prices of eight houses, constituting a random sam-ple of all the houses sold recently in a metropolitan area: Assessed value Selling price(thousands) (thousands)(of dollars) (of dollars)170.3 214.4202.0 269.3162.5 206.2174.8 225.0157.9 199.8181.6 232.1210.4 274.2188.0 243.5 (a) Fit a least squares line that will enable us to predictthe selling price of a house in that metropolitan area interms of its assessed value. (b) Test the null hypothesis β = 1.30 against the alterna-tive hypothesis β > 1.30 at the 0.05 level of significance.
Percentages of public school students in fourth and eighth grades who were above the proficiency level were given for 8 western states 4th Grade Proficiency 8th Grade Proficiency Arizona 15 21 California 11 18 Hawaii 16 16 Montana 22 37 New Mexico 13 13 Oregon 21 32 Utah 23 26 Wyoming 19 25 Construct a scatterplot and comment on any interesting characteristics Find the least squares equation. If Nevada had a 4th grade proficiency of 14%, what would you expect the 8th grade proficiency to be?
Check whether the data in this problem satisfy the Hawkins–Simoncondition.
Various doses of a poisonous substance were givento groups of 25 mice and the following results wereobserved: Dose (mg) Number of deathsx y4 16 38 610 812 1414 1616 20 (a) Find the equation of the least squares line fit tothese data.(b) Estimate the number of deaths in a group of 25 micethat receive a 7-milligram dose of this poison.
The table below contains the total cost ($) for four tickets to a basketball game purchased on the secondary market, two beers, two soft drinks, two hot dogs, and one parking space at each arena during a recent season. 298.97364.59427.79213.23307.54531.23297.49302.56521.19291.69366.83532.67230.38320.12507.88212.87452.34656.21245.26436.92709.57220.91485.82727.63365.07487.58788.14360.31467.92886.93 a. Organize these costs as an ordered array. b. Construct a frequency distribution and a percentage distribution for these costs. c. Around what values, if any, are at least 75% of the costs of attending the game concentrated? Explain.
The table below shows the final marks in Mathematics and English obtained by 10 students selected at random from a large group of students. Math (x) 75 80 93 65 87 71 98 68 84 77 English (y) 82 78 86 72 91 80 95 72 89 74 A) Obtain the relationship between the final marks in Mathematics and English by correlation coefficient. B)Fit a least-squares line from which the scatter diagram obtained in part (a). C)If a student receives a mark of 75 in mathematics, what is his expected mark in English? D) If a student receives a mark of 95 in English, what is his expected mark in mathematics?
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a) which for these data is 32.1470, 42.3520, or 10.0674 c) that minimizes the error sum of squares, total sum of squares, or regression sum of squares…for which these data is 32.1470, 42.3520, or 10.0674
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State	Percentage Proficient in Reading	Percentage Proficient in Mathematics
California	60	59
Texas	73	78
New York	75	70
Florida	66	68
Illinois	75	70
Pennsylvania	79	77
Ohio	79	76
Michigan	73	66
Georgia	67	64
North Carolina	71	73