Find the Pearson r(correlation coefficient value r) for the correlationbetween the number of hours students slept the night before a test andtheir test score. Round your answer up to two decimal places.Hours Testslept(X) Score(Y)883786774888676563790460689781Use the formula :rΣΥΣ Χ = 68XY = 5,497Ν Σ ΧΥ-(Σ Χ) (ΣΥ)VN Σ x - Σ x) [Ν ΣΥ-(ΣΥ)= 790 ΣΧ2 = 482 ΣY = 63, 432ZOOM)))givenand

N=10Formula usedr=n∑xy−∑x∑y(n∑x2−(∑x)2)×(n∑y2−(∑y)2)

Answered: Find the Pearson r(correlation…

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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ch 12
For the data shown to the right, determine the linear correlation coefficient using two different formulas shown below. Complete parts (a) and (b) below and compare your answers 2455 1 2 a. Use the definition r= Find the sum required to calculate r using the definition. E(x -x) (v, -ý) = Type an integer or a decimal. Do not round.) Using the definition, r= (Round to three decimal places as needed.) Σχν- (Σχ) (Σ ) / n b. Use the computing formula r= E- (Ex)²/n] Ev? - (E»)° /n] Find the sums required to calculate r using the computing formula.
The data show the time intervals after an eruption (to the next eruption) of a certain geyser. x (Height in ft.) 136 113 148 118 145 117 112 141 y (Interval after in min.) 91 85 95 88 89 85 87 90 a. Find the value of the linear correlation coefficient: r = nothing (Round to three decimal places as needed.) b. Find the critical value for determining if there is a linear relationship in the population of all eruptions (use alpha equals 0.05 ): Critical value = nothing (Round to three decimal places as needed.) c. Is there a linear correlation between height and interval in the population of all eruptions? A. No B. Yes d. What is the regression equation that gives the interval in terms of the height? yequals nothingplusnothing x (Round to three decimal places as needed.) e. Find the best predicted time of the interval after an eruption given that the current eruption has a height of…
Look at the data below regarding the variables x = lowest barometric pressure as a cyclone approaches and y = maximum wind speed of the cyclone. Is the value of |r| large enough to conclude that lowest barometric pressure and wind speed of a cyclone are correlated? Use ? = 0.01. (Round your answer for r to four decimal places.) x 1004 975 992 935 970 928y 40 100 65 145 70 151 r = ______critical r = ______
Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between XX and YY. Use your calculator! x y 3 16.82 4 15.96 5 16.9 6 15.14 7 17.18 8 15.12 9 17.16 10 14.7 r=
Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. The linear correlation coefficient is r= _____ (Round to three decimal places as needed.)
Annual high temperatures in a certain location have been tracked for several years. Let XX represent the year and YY the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between XX and YY. Use your calculator! x y 1 10.62 2 13.85 3 12.68 4 10.31 5 12.44 6 10.07 7 11.1 r=r=
Complete the table below and use the formula to calculate the correlation coefficient r. (to three decimal places) TY 10 14 100 196 140 4 13 16 169 52 64 25 40 10 100 50 121 33 35 48 289 536 315 The correlation coefficient n(Eay) - (E)(Dy) 2 The correlation coefficent r = 25 11 8. 3.
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