Compute​ r, the correlation​ coefficient, using the following data. x 1 5 3 6 4 7 y 7 3 6 3 4 2   R =​(Round to three decimal​ places.)

Q: (a) Calculate correlation coefficient from the following results : N= 10, EX=140, E Y= 150 E (X –…

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Q: Determine the two values of z such that the middle 58% of the data lie between the two z-values.

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Q: Given: sum(x) =28, sum(y)=49 , sum(xsq)=124 ,sum(ysq)=353,sum(xy)=204  n=7   Find :  The linear…

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Q: Use the data in the given table to fill in the missing coefficients. Round your answers to 3 decimal…

A: Given query is to find the coefficient of the linear function.

Q: The correlation coefficient, r, Is a number between 0 and 1 O-00 and 00 O-1 and 1 O-10 and 10 O O…

A: Here we need to find the values between which the correlation coefficient r lies.

Q: The first divided difference f(zo, z] for the following data is Z0 = 2, z = 14, S[ro] = 9, f[x1] =…

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Q: Q1:The revenues of the top eleven personal computer manufacturers are given (in hundred millions).…

A: d.  The box plot for the given data set is show below : - The line inside the box represents the…

Q: In the context of linear association and correlation coefficient, if E(x – ē)(y – 9) = 630, n = 10,…

A: Formula for correlation coefficient : r = Cov(x,y)sxsy Where ,  Cov(x,y) = 1n-1∑(x-x¯)(y-y¯)…

Q: For any two variables X and Y, if the covariance is 1225, the variance of X is 1600, and the…

A: Given that, The formula for calculating the value of correlation coefficient is,

Q: 25: From the table below, 38 44 50 50 50 53 55 59 60 64 73 74 77 70 58 77 87 82 75 60 72 92 104 126…

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Q: Calculate correlation coefficient from the following information: N= 10, ΣX= 140, ΣΥ= 150, Σ(Χ- 10,…

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Q: Consider the following data: 3 4 P(X = x) 0.2 0.1 0.1 0.2 0.4 Step 4 of 5: Find the value of P(X <…

A: Given probability distribution table: x 1 2 3 4 5 P(X=x) 0.2 0.1 0.1 0.2 0.4 Find:…

Q: Let x be the average number of employees in a group health insurance plan, and let y be the average…

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Q: Use the data in the given table to fill in the missing coefficients. Round your answers to 3 decimal…

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Q: Q. 16. From the following data, find Q,, Q, D,, P 97 Marks : 14 21 23 28 30 34 39 42 No. of students…

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Q: For the following pairs of data points (10, 100), (8, 120), (5, 200), (4, 200), (10, 90), (7, 110) ,…

A: Follow the steps below to get the Regression equation Table in excel: 1) Import the data in the…

Q: (c)Estimate Pearson’s First Coefficient of skewness for the given the Data:         91  62  54  72…

A: Pearson’s First Coefficient of skewness formula SKp = (Mean - Mode) /SD

Q: The following table gives the number of parking tickets obtained in a semester and the GPAS of 5…

A: Given data, X Y X*Y X*X Y*Y 2 5.5 11 4 30.25 4 4.5 18 16 20.25 5 3 15 25 9 6 2.5 15 36…

Q: 2.8 2.9 3 3.1 3.2 h(q) 3578 4414 5446 6718 8288 Estimate h' (3) using the table above. h'(3) -

A: h(x)=c where c is constant Then h'(x) =0

Q: Reported magazine newsstand sales were used to predict audited sales for 10 magazines. For that…

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Q: Consider the following data: 1 3 4 P(X = x) 0.3 0.1 0.2 0.1 0.3 Step 5 of 5: Find the value of P(X >…

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Q: Consider the following data of the number of hours 12 students spent online during the weekend and…

A: Regression model: Excel Procedure: Enter X and Y data in Excel&gt;Data&gt;Data Analysis&gt;…

Q: What is the value of SP for the following set of data? X   Y 1    4 2   4 9   1 A. + 5 B. – 5…

A: Solution : Given data set is, X 1 2 9 Y 4 4 1 SP for the data set is given by, SPXY =…

Q: How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y…

A: Solution a)Would you say that correlation is low, moderate or strong? Answer : strong b)Would you…

Q: 55. Explain from the data given below whether A and B are independent. positively associated or…

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Q: For the data given in following table, Determine P(X> - 2). x : - 2 10 1 1 3 1 f(x): - 1 None 00 | a

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Q: Calculate Pearson's coefficient of skewness from the following data: X f f 12.5 28 32.5 129 17.5 42…

A: Given data is X F 12.5 28 17.5 42 22.5 54 27.5 108 32.5 129 37.5 61 42.5 45 47.5…

Q: Show that E {X - m3 = E(X) -3m, o- m where m, and o are the mean and variance of X respectively,

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Q: Three sample observations taken for two variables are shown below: X (In $) Y (in ounces) 2.06 0.70…

A: The sample covariance formula is, Covx,y=∑ixi-x¯yi-y¯n-1 In the formula n is the sample size, x¯ is…

Q: Calculate correlation coefficient from the following results : N 10 ΣΧ 100 I(X-10) = 180, £(Y-15)² =…

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Q: 3. Find the z-score of the following data: μ=77.1, 5.1, and x-84 z-score=

A: We need to find the value of z-score given x, mean μ and standard deviation σ

Q: Using the data attached, compute the following  1.  x-bar= 2. Sx= 3. n=

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Q: using the data X          P (X) 0          0.12 1          0.18 2          0.30 3          0.15…

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Q: In a multiple regression analysis, MSE = 25, n = 64, k = 3, and SST = 2,200. What is the R2 of the…

A: 1) It is given that n=64 and k=3.

Q: For the data in the following table, what is the value of ΣX? X         f 4          1 3…

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Q: Calculate correlation coefficient from the following information: N= 10, ΣX = 140 , ΣY = 150,…

A: Correlation Coefficient: Let us assume (x1, y1), (x2, y2), ... , (xn, yn) be n set of observations…

Q: If SST = 864, SSE = 494, SSxy = -20, and SSxx = 1.08 what is the value of the coefficient of…

A: Given, SST = 864 SSE = 494 SSxy = -20 SSxx = 1.08         To find, Coeficient of correlation r = ?

Q: For the data given in following table, Determine P(X> - 2). x : - 2 1 1 1 f(x): 2 3 1 2 9 9 8

A: From the given information, x -2 1 0 1 2 f(x) 1/9 2/9 3/9 1/9 2/9

Q: The owner of a used car dealership is trying to determine if there is a relationship between the…

A: Given that  n=25  From Given output R-sq=68.0% , S=0.3860.7 , R-Sq(Adj)=69.5%

Q: For the (x, y) pairs of data points (10, 8.04), (8, 6.95), (13, 7.58), (9, 8.81), (11, 8.33), (14,…

A: Given: The values of x and y is shown below x y 10 8.04 8 6.95 13 7.58 9 8.81 11 8.33…

Q: T=5, T, = 10, T3 =15, with SS1 = 6, SS2=9, SS3 = 9, and EX² = 94. For this study, what is SSwithin?

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Q: 4) Find the value of x for y 5.043 with the help of following data. 2.3 4.5 6.7 1.2 4.1 10.6 f(x,)…

A: It is required to find the value for x for

Q: Suppose in a given problem about the correlation between height and weight of 20 college students,…

A: Given n = 20 r = 0.93

Q: Establish the relationship between x & y approximately by using an interpolation formula from the…

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Q: a) Consider the following data: x12 3 4 y 345 6 Briefly explain why it can be seen from this data…

A: We need to find a constant for which x = ay  If there is not unique a then these are not…

Q: Find out Karl Pearson's Coefficient by skewness from the following data: X 4.5 5.5 6.5 7.5 8.5 9.5…

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Q: Model the following data with a power formula. x 1 2 3 4 5 y 1 1/8 1/27 1/64 1/25

A: Let's assume the model y = axb  when x = 1 then y = 1 1 = a * 1b 1 = a  So, the value of a = 1

Q: If all rhe scores in a set of test scores were the same , the variance would be equal to : a. 0 b.…

A: Solution :The Formula for variance is :Variance  Σxi-x2n

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.