16 15 14 13 10 11 12 13 14 15 16 The function y = 0.45x + 8.8 expresses the linear relationship displayed by the scatter plot. Calculate the residual value for x = 12. ) A) -0.4 B) -0.2 C) 0.2 D) 0.4

Q: x  0  2  3  5  6  y 1 1 7 11 20  Determine the best (according to sum-of-squares-measure) curve y…

A: The given data is as follows:

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Q: Assume that the two variables x and y are related according to the simple linear regression model.…

A: We know, Slope=∑ xy-1n∑ x∑ y∑ x2-1n∑ x2          =1687.9-115×53×582167.42-115×532          =18.567

Q: Calculate the value of r and test if there is a significant relationship between age of persons and…

A: Solution: X Y (X-X) (Y-Y) (X-X)2 (Y-Y)2 (X-X)(Y-Y) 11 40 -4.5 -4.4 20.25 19.36 19.8 12 42…

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A:

Q: 139 264 278 470 569 304 675 271 162 Y 94 222 241 428 500 275 394 232 | 133 а) Compute the…

A: x y u v u2 v2 uv 139 94 -361 -406 130321 164836 146566 264 222 -236 -278 55696 77284 65608 278…

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A:

Q: Use linear regression to find the values of a and b where y=a+bx 1 3 4 y 12 19 29 37 45 0.4 12.3 9.2…

A:

Q: 5. Fit the following data in a linearly regressed line. Find the co-efficient of variation. x, cm 2…

A:

Q: 3. Using R to calculate the linear regression model of Y=kX+b for the data i given below 1 2 3 4 5…

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A: Given equation is Y=-0.53X+11.19

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A:

Q: Consider the following data. 21 6. 12 30 55 10.5 20.4 31.3 38.6 75.9 118.8 (a) Find a linear model.…

A: Given that the data are   x   2    5    9    12    30    55    y   10.5  20.4  31.3  38.6  75.9…

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A: R2 = SSRSST;

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A: Givenlinear regression model is y^=6.553-0.0312(x)R2=0.64

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Q: Consider the bivariate data set with n = 7 observations X 1 7 -5 2 7 5 4 Y 35 77 13 22 69 69 59…

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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A:

Q: Consider the following data. x 2|5 | 9 | 12 y 10.2 20.0 | 30.7 | 37.9 75.1 117.8 30 55 (a) Find a…

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Q: Consider the following data. x 2 2.2 2.4 2.6 f 9.0 8.4 7.8 7.2 (a) Test the data to see…

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Q: Consider the setting of Exercise 1. The residuals corresponding to the LSQ line, HR = 133.72 – 280.8…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: The following table shows retail sales in drug stores in billions of dollars in the U.S. for years…

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A:

Q: The F ratio used to test for the existence of' a linear relationship between the dependent variable…

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Q: 45. A regression analysis yields the line ý = 18 + 0.25x. One of the subjects, Mary, has æ = 40 and…

A:

Q: 3. Let X is the advertisement expenditures (in Lakh Rs.) and Y is the sales (in Lakh Rs.). Let the…

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Q: d. Draw the regression line on the scatter diagram using the yp points.e. Find y for x = 50 x 20…

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Q: Consider the linear regression model given by ŷ = 6.553 – 0.0312 x determination coefficient R =…

A: As per our guidelines we are suppose to do only one questionGivenregression model is y^ = 6.553…

Q: Let S(t)S(t) be the retails sales in billions of dollars in t years since 1995. A linear model for…

A: The scatterplot is obtained by using EXCEL. The software procedure is given below: In first column…

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.