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QveST [7]
2 years ago
9

suppose we fit the least-squares regression line to a set of data. the plot of the residuals is given below. plot of residuals t

his plot suggests that select one: a. the correlation must be 0. b. outliers must be present. c. the linear least-squares regression line is not appropriate for the data. d. the linear least-squares regression line is appropriate for the data since the residuals are small.
Mathematics
1 answer:
Simora [160]2 years ago
4 0

The right option is c, The linear least-squares regression line is not appropriate for the data. A straight line is not an effective way to summarize the data.

A least-squares regression line, which minimizes the vertical distance between the data points and the regression line, is the line that best fits a linear connection between two variables when the data indicates such a relationship.

Given that the terms "linear least squares" and "linear regression" relate to two distinct concepts, we should differentiate between them. The former refers to fitting a model that is a linear function of the independent variable, and the latter refers to fitting a model that is linear in the parameters.

To understand more about least-squares regression, have a look at this example:

brainly.com/question/24848242

#SPJ4

The right question is:

Suppose we fit the least-squares regression line to a set of data. If a plot of the residuals shows a curved pattern,

A. a straight line is not a good summary of the data.

B. the correlation must be 0.

C. the correlation must be positive.

D. outliers must be present.

E. r2 = 0.

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Lapatulllka [165]

Answer:

It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.

Step-by-step explanation:

Let's write given statement as [ x ]  = ] x+1 [

where [ x ] step function means next integer greater than or equal to x,

and ] y [ means last integer less than or equal to y.

Let's take an example of x = 2.5

So  [ 2.5 ] = 3.

and ] 2.5 + 1 [ = ] 3.5 [ = 3.

Similarly, we can take any example of Real numbers like 3.7, 4.2, 5.6, 8.9 etc.

It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.

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