149k views
0 votes
The equation of a regression line is Y=-1.4X+5. From this equation, we know that...

a. the line has a negative slope and intersects the X axis at 5
b. the line has a slope of 5 and intersects the Y axis at -1.4
c. the line has a slope of -1.4 and intersects the Y axis at 5
d. X and Y are not linearly related

User Juhist
by
7.9k points

1 Answer

5 votes

Final answer:

The equation Y = -1.4X + 5 represents a line with a negative slope of -1.4 and a y-intercept at (0, 5), where it crosses the Y-axis.

Step-by-step explanation:

The equation of a regression line is given by Y = -1.4X + 5. From this equation, we can determine several characteristics of the line it represents. The slope is the coefficient of X, which is -1.4 in this case. This indicates that the line has a negative slope, meaning as X increases, Y decreases. The y-intercept is the constant term, which is 5 in this equation, showing where the line crosses the Y-axis. Therefore, the correct interpretation of the line is that the line has a slope of -1.4 and intersects the Y-axis at the point (0, 5).

User BhanuKiran
by
8.3k points