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Q: For numbers 9 and 10: Nathan, a friend of Jonard, wants to predict the petal length (plength, cm) of…

A: Solution: The regression output is given.

Q: Fit a least square geometric curve y= ax to the following data: 3 4. 5 y 0.5 2 4.5 8 12.5 [Ans. y=…

A: make a table as follows x y 1 0.5 2 2 3 4.5 4 8 5 12.5   given  y=axblog y = log a+b…

Q: Use five decimal places Fit the following data by the equation y= ax° using the Least squares method…

A: Solution : Here, we have to fit an exponential curve y=abx for given data. So we have to use the…

Q: When a least squares line is fit to the 11 observations in the service time data, we obtain SSE=…

A: It is an important part of statistics. It is widely used.

Q: Use five decimal places Fit the following data by the equation y= ax using the Least squares method…

A: To fit the given equation, y=axb Taking logarithm on both sides.…

Q: (a) Using the method of least square, fit a curve of the form y = a+bx to the following data…

A: We have to use the method of least square, fit a curve of the given form y = x(a + bx) to the given…

Q: 7. The average size of the avocado grown by my tree is continuous data: a. True b. Flase wwww.ww

A: Answer:-----.                                   Date:----27/09/2021 The correct answer is…

Q: For numbers 9 and 10: Nathan, a friend of Jonard, wants to predict the petal length (plength, cm) of…

A: Solution: The regression output is given. Here, the dependent variable is petal length. Independent…

Q: Consider the following data set Xị -2 1 3 Yi -1 1 And the model y = ao + a‚Sin(x) In the sense of…

A: Consider the given table. xi -2 1 3 yi 2 -1 1 Now, using the least square method. Calculate…

Q: With the following data: 2. 141 6 | 7 (x) 70 122 144 152 174 196 202 Use the least square method to…

A:

Q: With 12 degrees of freedom, the values of xa12 = x°0.025 and x x0.975 can be found from a chi-…

A:

Q: Assume that the differences are normally distributed. Complete parts (a) through (d) below.…

A: Given  :  X Y 42.4 46.3 47 47.4 52.9 54.5 48.5 53.1 51 53.3 49.1 50.8 54.3 54.9…

Q: 4. Estimate the coefficients of the line y = ax+b such that the sum of the squared deviations…

A: We need to find the coefficients a and b of line y=ax+b using Method of Least Squares. X Y 29.1…

Q: Use the dot plot to ans wer the questians Brown Green Yettow Crangeo Blue Red What percentage of…

A: The total number of dots are, Red+Blue+green+yellow+orange+brown=9+7+5+3+2+1=27

Q: Use five decimal places Fit the following data by the equation y = axb using the Least squares…

A: Consider the exponential equation y=axb. Taking logarithm on both sides of this equation results in…

Q: Q4: Determine the least square data fit. 0.5 0.5463 0.3 0.7 0.9 0.3093 0.8923 1.2602

A: The line of best fit has the equation: y=a+bx Where, y=Dependent variable x=Independent variable…

Q: Assuming that X1 related with Corr(X1, X2) Norm(u1, o}) and X2 = p, find the mean and variance of…

A:

Q: Which of the following is the CDF of X. a. Fx(x)= (2x³ – 3x2)I[0,1)(x)+ I1,00) (x) b. Fx(x)= (3x² –…

A: The CDF of X is defined as F(x) = P(X ≤ x) Note : According to our guidelines we are solving only…

Q: Use a calculator or a spreadsheet to find S(t) for thevalues of t given in the following table in…

A: To find S(t) for the values of t.

Q: Draw a "less than" ogive for the above data. If 50% of the patients for more than X minutes,…

A: From given data: Waiting time(minutes) Number of patients 4.00-4.49 2 4.50-4.99 2 5.00-5.49…

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A: We draw two random samples of smokers and non-smokers, of size n1 = 25 and n2 = 20 respectively.…

Q: Find the zero of y(x) from the following data: 0.5 1 1.5 2 2.5 3 y 1.8421 | 2.4694 2.4921 | 1.9047…

A:

Q: 3) Find the mZT= %3D

A:

Q: The article “Can We Really Walk Straight?” (Amer. J.of Physical Anthropology, 1992: 19–27) reported…

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Q: From a test cross you get 152 green, hairless; 23 green, hairy; 148 white, hairy, and 27 white,…

A: From a test cross you get 152 green, hairless; 23 green, hairy; 148 white, hairy, and 27 white,…

Q: Q2: From the table data below , find (Two ) of the following :- 7-11 43 17- 21 22-26 12 - 16 65 2-6…

A:

Q: Fit a cubic spline to the following data to determine y @x =1.5 2 4 7 10 12 y 20 20 12 7 6. 6.

A:

Q: Given the byariate datat 235 6 916 42! a) Draw scatter diagram b.) Find Ex : Ex? : (Ex)* . C.) Find…

A: Scatter plot

Q: For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the…

A: a) Step-by-step procedure to draw scatter plot using Excel: In Excel sheet, enter x and yin…

Q: -12 Use Simpson's Rule and all the data in the following table to estimate the value of the integral…

A:

Q: (w) Use a graphing ulity to drww a Rcatier dagam for the data of ana pariod Which sureen is correct?…

A: The following data for the X and Y variables are provided to construct a scatterplot: X Y 1 26…

Q: 1 Show that r in (6.16) is the square of the correlation (x - )(Vi – y) %3= as given by (6.18).

A: From the given information, y x y-y¯2 x-x¯2 x-x¯y-y¯ 78 4.4 47.16805 0.875722 6.426981 74…

Q: For a χ2-curve with 9 degrees of freedom, find χ20.005, and interpret the value in terms of the…

A: Given:Degree of freedom(df)=9Significance level=0.005Explanation:The value of area under the curve…

Q: Construct with the help of data given below Fishers Ideal Inde and show it satisfies the Factor…

A:

Q: Find the P-value (to 4 decimals) for a x test with d. f. = 9 and STS x = 1.6 if the test %3D %3D a.…

A: (a) Obtain the P-value for the chi square test if it is left tailed. The P-value is obtained below…

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: Find the average distance between points of D={(8,9.p)|aspsza) and the origin.

A: Since you have posted multiple question, but as per guidelines we can solve only one question at a…

Q: c. Find the least squares estimates of Bo and B,. =0.512 Bo =0.814 %3D (Round to three decimal…

A: The least square estimates of the parameters β0 and β1 of the regression model of Y on X : yi =  β0…

Q: Approximate f(4) for the following set of data using cubic spline: [0, 1], [3, 2], [8, 3]

A:

Q: 2. (a) Check the spline conditions for S1 (x) = 1+ 2x + 3x² + 4x3 S2 (x) = 10 + 20(x – 1) + 15(x –…

A: Given function is  f(x)=s1(x)=1+2x+3x2+4x3    on [0,1]and  s2(x) =10+20(x-1)+15(x-1)2+4(x-1)3 on…

Q: Assume that the differences are normally distributed. Complete parts (a) through (d) below.…

A: Given, n=8 α=0.05 a). The difference of each pair of data is obtained as- Xi Yi di=Xi-Yi 48.7…

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A:

Q: Q2: From the table data below , find (Two ) of the following :- 7-11 43 2-6 19 12 - 16 65 17- 21 31…

A:

Q: An excerpt of the t table with 57 degrees of freedom is given below. Degrees of Freedom Area in…

A: Solution: Given information: n= 58 sample size  degree of freedom =df  = n- 1 = 58 -1= 57  Test…

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A:

Q: For a group of 10 items EX = 452, EX²=24,270 and mode = 43.7. Find Pearson's coefficient of…

A: We have given that,  Sample size (n) = 10 , Σ x = 452,  Σ x^2= 24270 and mode = 43.7 Then,  We will…

Q: For numbers 9 and 10: Nathan, a friend of Jonard, wants to predict the petal length (plength, cm) of…

A: We have given that the software output of multiple regression analysis.

Q: It has been noted that the amount of time people spend shopping in supermarkets in country X has…

A: Given information: The data represents the amount of time people spend shopping in supermarkets in…

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.