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2 years ago

Below is a data set. Use desmos to find the slope, y-intercept, and correlation

Mathematics

1 answer:

Debora [2.8K]2 years ago

3 0

The slope of the least squares regression line is 1.0 and the y-intercept is 6.3

<h3>How to determine the slope?</h3>

To do this, we enter the data values in a graphing calculator, and we interpret the results:

Using a graphing calculator, we have the following calculation summary

Sum of X = 83
Sum of Y = 123
Mean X = 13.8333
Mean Y = 20.5
Sum of squares (SSX) = 356.8333
Sum of products (SP) = 365.5
R = 0.8728

The slope (b) is calculated using:

b = SP/SSX

This gives

b = 365.5/356.83

b = 1.0

Hence, the slope is 1.0

<h3>How to determine the y-intercept?</h3>

The y-intercept (a) is calculated using:

a = MY - bMX

a = 20.5 - (1.02*13.83)

a = 6.3

Hence, the y-intercept is 6.3

<h3>How to determine the correlation coefficient?</h3>

In (a), we have:

R = 0.8728

Approximate

R = 0.9

This means that the correlation coefficient is 0.9

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3 years ago

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Step-by-step explanation:

The complete question is

When Leo woke up he saw that the temperature was -8°F. By noon the temperature has increased 5°F. Part a) What was the temperature at noon?

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Part a) we know that

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