Question

The scatter plot shows the relationship between the time spent to complete the first project and the number of projects attempted. In a slope of the line is [Fill in the blank]. The intercept of the line is [Fill in the blank]. The regression equation is [Fill in the blank]. Round to 3 decimal places. Use the line graphed on the scatter plot to estimate the linear regression equation.

a) Time, Intercept, Regression
b) Slope, Intercept, Regression
c) Regression, Intercept, Slope
d) Slope, Regression, Intercept

Answer 1

The slope of the line represents the rate of change, the intercept represents the estimated initial time spent, and the regression equation expresses the relationship between the variables.

Step-by-step explanation:

The correct answer is d) Slope, Regression, Intercept.

In the context of the scatter plot, the slope of the line represents the rate of change between the time spent completing the first project and the number of projects attempted. It tells us how much the time spent changes for each additional project attempted, on average.

The intercept of the line is the value on the y-axis when the x-axis value is zero. In this case, it represents the estimated time spent to complete the first project when no other projects have been attempted.

The regression equation is a mathematical expression that represents the relationship between the two variables in the scatter plot. It can be used to predict the time spent on the first project based on the number of projects attempted.