Using the results of Problem 3.1, show numerically that the square of the simple correlation coefficient between
Question:
Using the results of Problem 3.1, show numerically that the square of the simple correlation coefficient between the observed values $y_{i}$ and the fitted values $\hat{y}_{i}$ equals $R^{2}$.
Data From Problem 3.1
Consider the National Football League data in Table B.1.
Transcribed Image Text:
Team y X_ X2 X4 X5 X6 5 X7 8 Xg Washington 10 2113 1985 38.9 64.7 +4 868 59.7 2205 1917 Minnesota 11 2003 2855 38.8 61.3 +3 615 55.0 2096 1575 New 11 2957 1737 40.1 60.0 +14. 914 65.6 1847 2175 England Oakland 13 2285 2905 41.6 45.3 -4 957 61.4 1903 2476 Pittsburgh 10 2971 1666 39.2 53.8 +15 836 66.1 1457 1866 Baltimore 11 2309 2927 39.7 74.1 +8 786 61.0 1848 2339 Los Angeles 10 2528 2341 38.1 65.4 +12 754 66.1 1564 2092 Dallas 11 2147 2737 370 78.3 -1 761 58.0 1821 1909 Atlanta 4 1689 1414 42.1 47.6 -3 714 570 2577 2001 Buffalo 2 2566 1838 42.3 54.2 797 58.9 2476 2254 Chicago 7 2363 1480 373 48.0 +19 984 67.5 1984 2217 Cincinnati 10 2109 2191 39.5 51.9 +6 700 57.2 1917 1758 Cleveland 9 2295 2229 37.4 53.6 -5 1037 58.8 1761 2032 Denver 9 1932 2204 35.1 71.4 +3 986 58.6 1709 2025 Detroit 6 2213 2140 38.8 58.3 +6 819 59.2 1901 1686 Green Bay 5 1722 1730 36.6 52.6 -19 791 54.4 2288 1835 Houston 5 1498 2072 35.3 59.3 -5 776 49.6 2072 1914 Kansas City 5 1873 2929 41.1 55.3 +10 789 54.3 2861 2496 Miami 6 2118 2268 38.2 69.6 +6 582 58.7 2411 2670 New 4 1775 1983 39.3 78.3 +7 901 51.7 2289 2202 Orleans New York 3 1904 1792 39.7 38.1 Giants New York 3 1929 1606 39.7 68.8 Jets Philadelphia 4 2080 1492 35.5 68.8 St. Louis 10 2301 2835 35.3 74.1 San Diego 6 2040 2416 38.7 50.0 San 8 2447 1638 39.9 57.1 Francisco Seattle Tampa Bay 20 1416 2649 37.4 56.3 1503 1503 39.3 470 734 61.9 2203 1988 -21 627 52.7 2592 2324 722 57.8 2053 2550 +2 683 59.7 1979 2110 576 54.9 2048 2628 848 65.3 1786 1776 -22 684 43.8 2876 2524 875 53.5 2560 2241
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
Answered By
JAPHETH KOGEI
Hi there. I'm here to assist you to score the highest marks on your assignments and homework. My areas of specialisation are:
Auditing, Financial Accounting, Macroeconomics, Monetary-economics, Business-administration, Advanced-accounting, Corporate Finance, Professional-accounting-ethics, Corporate governance, Financial-risk-analysis, Financial-budgeting, Corporate-social-responsibility, Statistics, Business management, logic, Critical thinking,
So, I look forward to helping you solve your academic problem.
I enjoy teaching and tutoring university and high school students. During my free time, I also read books on motivation, leadership, comedy, emotional intelligence, critical thinking, nature, human nature, innovation, persuasion, performance, negotiations, goals, power, time management, wealth, debates, sales, and finance. Additionally, I am a panellist on an FM radio program on Sunday mornings where we discuss current affairs.
I travel three times a year either to the USA, Europe and around Africa.
As a university student in the USA, I enjoyed interacting with people from different cultures and ethnic groups. Together with friends, we travelled widely in the USA and in Europe (UK, France, Denmark, Germany, Turkey, etc).
So, I look forward to tutoring you. I believe that it will be exciting to meet them.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Introduction To Linear Regression Analysis
ISBN: 9781119578727
6th Edition
Authors: Douglas C. Montgomery, Elizabeth A. Peck, G. Geoffrey Vining
Question Posted:
Students also viewed these Business questions
-
If member AB has the angular motion shown, determine the angular velocity and angular acceleration of member CD at the instant shown. A 300 mm- @AB = 3 rad/s AB = 8 rad/s2 200 mm 0 = 60 500 mm B
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
Developments in Technology Light is incident from air on the end face of a multimode optical fibre at angle of incidence as shown below. n n 1 2 The refractive indices of the core and cladding are...
-
The cable is subjected to a uniform loading of w = 60 kN/m. Determine the maximum and minimum tension in cable. -100 m- 12 m
-
Shen purchased corporate stock for $20,000 on April 10, 2012. On July 14, 2014, when the stock was worth $12,000, Shen died and his son, Mijo, inherited the stock. What has to happen to the value of...
-
Given the initial amounts listed, what is the limiting reagent, and what is the mass of the leftover reagent? MgO(s) + H2S(g) Mg S(s) + H,0(f) 227g 17.9
-
Which of the following statements is true? a. Under cash-basis accounting, revenues are recorded when earned and expenses are recorded when incurred. b. Accrual-basis accounting records both cash and...
-
The accounting records of Hampton Company provided the data below ($ in 000s). Required: Prepare a reconciliation of net income to net cash flows from operatingactivities. Net income Depreciation...
-
Determine the absolute extreme values of the function f(x) = x3 + 2X2 20x on the interval [0,3]. Absolute minimum value = |:] Absolute maximum value = |:]
-
Refer to Problem 3.1. Data From Problem 3.1 Consider the National Football League data in Table B.1. a. Find a $95 % \mathrm{CI}$ on $\beta_{7}$. b. Find a $95 %$ CI on the mean number of games won...
-
Consider the National Football League data in Table B.1. a. Fit a multiple linear regression model relating the number of games won to the team's passing yardage $\left(x_{2} ight)$, the percentage...
-
The fact that it takes a long time for firms to get new plants and equipment up and running is an illustration of what policy problem?
-
SunnyVale Trailer Park has a free cash flow of $500 000. The company pays a 30% tax rate. Interest on debt, which accounts for 40% of its capital structure, is 6%. The beta for its common stock is...
-
A point charge +2Q is at the origin and a point charge -Q is located along the x axis at x = d as in the figure below. Find a symbolic expression for the net force on a third point charge + Q located...
-
Would Snap, AT&T, and Microsoft use the cash basis or the accrual basis of accounting? How are revenues and expenses reported on the income statement under the accrual basis of accounting? Explain...
-
Adjustment data: 1. A count shows supplies on hand of $1,090. 2. Accrued but unpaid employees' salaries are $1,760. 3. Depreciation on equipment for the month is $360. 4. Services were performed to...
-
A) Four main schools of thought exist as to the relevance of exchange rate risk. The Multinational Corporation's treatment of exchange rate risk is a result of their thoughts on exchange rate risk....
-
Why do the interest factors in Table 1 get larger and larger as you move from the upper left corner of the table to the lower right corner?
-
The roof of a refrigerated truck compartment is of composite construction, consisting of a layer of foamed urethane insulation (t2 = 50 mm, ki = 0.026 W/m K sandwiched between aluminum alloy panels...
-
Which of the following would be treated as non - adjusting item / adjusting event under IAS 1 0 Events After the Reporting Period. i . An alteration to the tax rate that becomes effective after the...
-
If Roten Rooters, Inc., has an equity multiplier of 0 . 4 2 , total asset turnover of 2 . 7 0 , and a profit margin of 5 . 3 percent, what is its ROE?
-
A firm provides the following information about budgeted sales: \ table [ [ Budgeted Sales for May, 7 , 8 0 0 units ] , [ Budgeted Sales for June, 7 , 3 0 0 units ] , [ Budgeted Sales for July, 7 , 5...
Study smarter with the SolutionInn App