Question

A researcher wishes to determine whether the rate of water flow (in liters per second) over an experimental soil bed can be used to predict the amount of soil washed away (in kilograms). The researcher measures the amount of soil washed away for various flow rates, and from these data calculates the regression line to be amount of eroded soil = 0.4 + 1.3 (flow rate) What is the slope of the regression line? A. 0.4 B. 1.9 C. X D. 1.3

In a statistics course a linear regression equation was computed to predict the final exam score from the score on the first test. The equation of the regression line was y = 10 + 0.9x; where y represents the final exam score and x is the score on the first exam. The first test score is: A. the y-intercept B. the slope C. the dependent variable D. the independent variable

Suppose a straight line is fit to data having dependent variable y and independent variable x. Estimating values of y for values of x using this straight line is called what? A. Causation B. Correlation C. Interpretation D. Prediction

Answer 1

amount of eroded soil(y)=0.4+1.3*flow_rate(x)

This is same as the general regression equation which is written as y=mx+c where m represents the slope and c represents the y intercept and x is the independent variable and y is the dependent variable.
In our case m is the coefficient of flow rate i.e 1.3

Therefore the correct answer is D . 1.3

Next equation is y=10+0.9x

y is the final score and x is score on the first exam.
Therefore the first test score is the independent variable.

Therefore the correct answer is D.

Estimating values of y for values of x is called prediction

Answer D)