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Nesterboy [21]
3 years ago
7

Help me please find the slope and y-intercept

Mathematics
1 answer:
Bumek [7]3 years ago
6 0

Answer:

Slope is 2.15

y-intercept is 2

Step-by-step explanation:

We need to find slope and y-intercept of the graph given.

The formula used to find slope is: Slope=\frac{y_2-y_1}{x_2-x_1}

Looking at the graph, we can find 2 points

Point 1 : (0,-2)

Point (2): (2,-2.3)

Now putting values and finding slope:

We have: x_1=0, y_1=-2, x_2=2, y_2=-2.3

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2.3-(-2)}{2-0}\\ Slope=\frac{2.3+2}{2}\\ Slope=\frac{4.3}{2}\\Slope=2.15

So, we get slope = 2.15

Now, finding y-intercept

y-intercept can be found if we put x =0

Looking at the graph, when x =0, y = 2

So, y-intercept is 2

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If you want to check that, you can use inverse operations, so subtract.

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Step-by-step explanation:

For this case we have the following values given:

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And we want to estimate the mean value of IQ for the conceptual population.

For this case we can use as estimator for the population mean the sample mean. We know that the sample mean is given by this formula:

\bar X = \frac{\sum_{i=1}^n x_i}{n}

Where n represent the sample size, on this case n =33. If we use this formula we got:

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