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nadezda [96]
3 years ago
7

For two weeks the school librarian recorded the number of library books returned each morning. The data are shown in the dot plo

t. The librarian found the mean number of books returned each morning.
DOT PLOT
0 has 2 dots 1 has 0 dots 2 has 0 dots 3 has 1 dot 4 has 0 dots
5 has 1 dots 6 has 2 dots 7 has 0 dots 8 has 2 dots 9 has 1 dot
10 has 1 dot 11 has 0 dots
LIBRARIANS WORK
8 + 6 + 10 + 5 + 9 + 8 + 3 + 6 55
------------------------------------------------- = ---- = 6.9
8 8

Is this the correct mean of this data set? If not, explain and correct this answer

Mathematics
1 answer:
Veronika [31]3 years ago
8 0
The mean that the library and calculated is not correct. Her mistake was she divided 55 by 8 instead of dividing by 10.

Please see the attached picture for the work in finding the correct mean of 5.5 books.

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3 years ago
A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: ŷ = 13
Lunna [17]

Answer:

y=6x +135

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

Step-by-step explanation:

We assume that they use least squares in order to create the regression equation

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

With these we can find the sums:

And the slope would be:

m=6

The means for x and y are given by:

\bar x= \frac{\sum x_i}{n}

\bar y= \frac{\sum y_i}{n}

And we can find the intercept using this:

b=\bar y -m \bar x

For this case we know that the line adjusted is:

y=6x +135

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

3 0
4 years ago
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