Complete the table and solve the coefficient of correlation.with solution amd explanation please. Complete the table and solve the coefficient of correlation.Advertising expenses (x)SalesXYX²15211827202024281617263110716141114383436393231Total -From the table compute the following:N (Σ XY)-(Σ X)(ΣΥ)r=-[N(Σ x2)-(Σ X)2][N (ΣΥ2)-(ΣΥ)2]Y²

Data given X:15,18,20,24,16,26,10,16,11,38,36,32 Y:21,27,20,28,17,31,7,14,14,34,39,31

Answered: Complete the table and solve the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

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Qestion 1- from table below: x y x2 y2 xy5 25 25 625 1253 20 9 400 604 21 16 441 8410 35 100 225 35015 38 225 1444 570∑X= ∑y= ∑X2= ∑y2= ∑XY=Correlation Coefficient is: A-0.79B-0.97C-0.03D-1 Coefficient of Determination is: A-0.97B-0.0C-0.94D-0.06 The Coefficient of Determination quantity means: A-94% from data can be explained from the linear equation between x and yB-94% from data can not be explained from the linear equation between x and yC97% from data can be explained from the linear equation between x and yD-6% from data can be explained from the linear equation between x and y The relation between x and whey is: A-perfect directB-strong indirectC-intermediate directD-strong direct The Coefficient of Determination quantity from: A(-1 to 1)B(-1 to 0)C(0 to -1)D(0 to 1)
A farmer in Indiana wants to examine the relation between the number of very hot days (days when the high temperature exceeds 95° F) and the corn production of his farm (in bushels of corn per acre). He looks at the data for 10 summers. Let x¡ = the number of hot days during the ith summer. %3D = the corn production (in bushels per acre) during the ih summer. Let yi The data are in the table below:. 4 6. 7 8. 9. 10 i 2 14 10 7. 8. 1 12 Xi Yi 95 80 83 87 88 85 99 102 79 95 a) Make a scatterplot of the data. b) Examine your scatterplot and, without performing any calculations, EXPLAIN whether you expect the correlation coefficient to be closer to -1, 0, or 1 and WHY. c) Find the sample mean and standard deviation for each variable. %3D %3D S. %3D y d) Place an asterisk on your scatterplot at the point (x,ỹ).
A professor wants to see the relationship between class size and final exam performance. Class Size (X) Final Exam (Y) 25 80 14 98 33 50 28 82 20 90 The following have whole number answers. As such please write only the number and not any decimal. For example write "1" and not "1.0". If any answer is negative, put the negative sign in front of the answer. For example write "-1". What is ΣXY? What is ΣX? What is ΣY? What is SP? What is SSx? What is SSy? What is the Pearson Correlation (r)?
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Complete the following worksheet and then use it to calculate the coefficient of determination. (ŷ; - y)² (Yi - y)² 2.208 196.000 565.203 2,116.000 432.765 1,156.000 79.477 256.000 797.046 2,916.000 178.837 196.000 973.690 676.000 1,856.834 576.000 2,121.800 1,296.000 35.331 256.000 i 1 2 3 4 5 6 7 8 9 Ti Yi y 15 160 175.486 13.5 220 197.774 16.5 140 153.197 14.5 190 182.915 17 120 145.768 16 160 160.627 13 200 205.204 18 150 130.909 12 210 220.063 10 15.5 190 168.056 Total The coefficient of determination (²) is According to the regression model, which of the following is the best estimate together with the 95 percent prediction interval of paint sales (in thousands of gallons) in a sales region where the selling price is $12.50? O 212.620 + 2(3.190) O 409.370 + 2(3.190) O212.620 2(18.017) O 409.370 = 2(18.017) What is the price elasticity of demand at a selling price of $12.50? O -0.56 -0.06 O -0.87
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US Death Rates Due to Heart Disease (t) years (R) Death Rate (Number of Deaths per 100,000) Years death rate 1960 559 1970 493 1980 412 1990 322 2000 258 Heart Disease Rates The death rate from heart disease in the US for various years is shown in the table. Let R be the death rate (number of deaths per 100,000) from heart disease for the years since 1960 a. Create a scatterplot (in the space above) of the data on the given axes. Draw a line that comes close to the points in your scatterplot. b. Perform a linear regression to find the prediction equation. (be sure to use ) Draw that line on your graph. c. What is the correlation coefficient value? Briefly describe what that value means. d. Using your model, approximate the death rate for the year 1980. e. Find the residual (actual – predicted) for the year 1980.
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Complete the table and solve the coefficient of correlation. Advertising expenses (x) Sales XY X² 15 21 18 27 20 20 24 28 16 17 26 31 10 7 16 14 11 14 38 34 36 39 32 31 Total - From the table compute the following: N (Σ xY)-(Σ X)(ΣΥ) r = [N(Σ X2)-(Σ X)2][N (ΣΥ2)-(ΣΥ)2] Y2