Question

Trey believes there is a correlation between the number of texts sent in class and GPA. He collected data and found that the line of best fit for the data can be modeled by the equation y = 3.9 − 0.3x. Identify the slope and the type of association. The slope is −3.9, which indicates a negative correlation. The slope is 3.9, which indicates a positive correlation. The slope is 0.3, which indicates a positive correlation. The slope is −0.3, which indicates a negative correlation.

Answer 1

(d) The slope is −0.3, which indicates a negative correlation

Explanation:

You want to identify the slope and its meaning when the line of best fit has the equation y = 3.9 -0.3x.

Slope

The equation is in slope-intercept form:

y = mx +b . . . . . . . . line with slope m and y-intercept b

Comparing the equations, we see ...

m = -0.3

b = +3.9

The slope is m = -0.3. The negative slope of the line of best fit means the correlation is negative. The best description is ...

(d) The slope is -0.3, which indicates a negative correlation.

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Additional comment

The sign of the slope is the sign of the correlation coefficient.

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