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In-s [12.5K]
2 years ago
7

What does a residual value of 1. 3 mean when referring to the line of best fit of a data set? A data point is 1. 3 units above t

he line of best fit. A data point is 1. 3 units below the line of best fit. The line of best fit has a slope of –1. 3 The line of best fit has a slope of 1. 3.
Mathematics
1 answer:
Darina [25.2K]2 years ago
8 0

You can use the fact that a residual value is obtained by subtracting the prediction by the line of best fit from the actual data value we have.

The residual value 1.3 when referring to the line of best fit of a data set means:

Option B: A data point is 1.3 units below the line of best fit

<h3>What is a residual value and how is it calculated?</h3>

First of all, this whole story starts with data. We get data and we try to fit a line which can best imitate the way data is lying on the coordinate plane.

Remember that on a 2d coordinate cartesian plane, we have (x,y) called as point on plane and x is abscissa and y is called ordinate.

Let the best fit line be denoted by y = mx + c (assuming we're working with 2d data) with slope m and y-intercept c.

Now, this line is used to predict where can the next data point may lie.

When this best fit line is used to predict already present data point, we get the error that best fit line made when predicting the real data.

This is measured by "residual value"

For data point with ordinate b, we suppose get prediction as y

Then we have the residual value as y - b.

Remember, the prediction is before the real data point's ordinate.

<h3>How to know what does 1.3 residual value mean?</h3>

Let the real value be b and the predicted value be y from which this residual was calculated.

Then we have:

y - b = 1.3

y = 1.3 + b

Thus, we see that prediction is bigger than the real data point's y-ordinate. Since y axis has increasing value as we go higher and higher vertically, thus this prediction value's ordinate is higher than that of real value's ordinate.

The prediction, since shows the height of best fit line on that input point, thus we have:

Option B: A data point is 1.3 units below the line of best fit.

Learn more about line of best fit here:

brainly.com/question/2396661

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Need help solving this problem ​
natka813 [3]

Answer:

Part 1: \frac{11-x}{5} or \frac{11}{5}-\frac{x}{5}

Part 2: \frac{9}{5}

Step-by-step explanation:

To start things off, you must put everything on the opposite side of y so that you only have the y variable left.

In this case, put x onto the other side, making it negative since it's flipped, so you get 5y=11-x (since the x is negative you're using subtraction from 11).

Next, divide both sides by 5 to make 5y into y:

\frac{5y}{5} =\frac{11}{5}-\frac{x}{5}

y=\frac{11}{5}-\frac{x}{5}

Then in this case you turn y=f(x), but the system did it for you, so all you have to put is \frac{11}{5}-\frac{x}{5}.

For the second part you must replace x with 2 since you need to find f(2).

\frac{11-2}{5}

Your answer for part 2 is \frac{9}{5}.

3 0
2 years ago
Consider the dot plot below. Of the following statements, which two characteristics of this dot plot make the median a better ch
Vilka [71]

The data are skewed and there is an outlier statement first is correct.

<h3>What is the box and whisker plot?</h3>

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have data on the box plot.

Because the dots decrease as the number line grows, the depicted dot plot is skewed right.

The graph's "tail" is pushed toward greater positive numbers. As a result, the mean is pushed towards the graph's tail and is higher than the median.

Thus, the data are skewed and there is an outlier statement first is correct.

Learn more about the box and whisker plot here:

brainly.com/question/3209282

#SPJ1

5 0
2 years ago
Consider the probability that more than 99 out of 157 software users will not call technical support. Assume the probability tha
Rainbow [258]

Answer:

P(x>99)= 0.468

Step-by-step explanation:

From the question we are told that:

Sample size 157

Sample mean

\=x =np

\=x =157*0.56

\=x = 87.92

Generally the equation for Standard deviation is mathematically given by

\sigma=\sqrt{npq}

\sigma=\sqrt{157*0.56*0.44}

\sigma =6.22

Therefore

P(x>99)=P(z>(\frac{99.5-87.92)}{6.22})

P(x>99)=P(z>1.86)

P(x>99)= 0.468

8 0
3 years ago
How many solutions does the equation have? <br><br> 25 - 4x = 15 - 3x + 10 - x
AlexFokin [52]

Both sides are equal, so the equation has infinite solutions.


25 - 4x = 15 - 3x + 10 - x

= 25 - 4x = 25 - 3x - x

= 25 - 4x = 25 - 4x

8 0
3 years ago
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