Interpret Regression

Interpret the slope of the regression equation.

• Income increases by 31.45 with each additional hour worked.

• Income increases by 31.45

• As hours increases by one, income will increase by 31.45, on average

• As hours increases by one, income will increase by 31.45

Data was collected on the weight of a male laboratory rat for the first 25 weeks after its birth. The linear regression equation is y= 40x+100, where x is number of weeks and y is weight in grams. What does the y-intercept mean in context of the problem?

• The predicted weight of the rat in year one.

• The predicted weight of the rat at birth.

• The current weight of the rat.

• The average increase in the rat's weight.

The linear regression equation is y = 61.93x - 1.79. According to the model, the slope can be interpreted as:

• After 0 hours of driving, they went 61.93 miles.

• They drove at a speed of 61.93 miles per hour.

• They drove 61.93 miles total.

• They drove 61.93 hours total.

The equation y = -2x + 7 models the amount of gas remaining in a lawnmower after x hours of use since it was filled. What is the meaning of the slope?

• For each hour of mowing, the mower is predicted to use 2 gallons.

• the predicted amount of gas the lawnmower can hold is 2 gallons

• For every two hours of mowing, the mower is predicted to use 7 gallons.

• The predicted amount of gas remaining after 1 hour is 2 gallons.

In a scatter plot, what does it mean if the points are very close to the regression line?

• The correlation is weak.

• The correlation is strong.

• There is no correlation.

• The variables are independent.

In the context of bivariate data, what does the term "residual" refer to?

• The difference between the observed value and the predicted value.

• The slope of the regression line.

• The y-intercept of the regression line.

• The correlation coefficient.

What does the term "line of best fit" refer to in a scatter plot?

• A line that passes through all the data points.

• A line that minimises the distance of all points from the line.

• A line that maximises the distance of all points from the line.

• A line that is parallel to the x-axis.

• The y-intercept.

• The point where the line crosses the y-axis.

• The correlation coefficient.

Some data were collected on the weight of a male white laboratory rat for the first 25 weeks after its birth. The linear regression equation is (predicted weight)=100 + 40(time). Which is the best description of the slope for this regression equation in context of the problem?

• The slope of the line of regression is the time since birth of the rate. It demonstrates the predicted weight of a laboratory rate after so many months since birth.

• The slope is 40 grams/week which means the mouse gains about 40 grams per week after birth.

• The slope is 40 and it means for every increase in weeks the graph will increase.

• The slope is 40, which tells us the line increases.

Interpret the y - intercept for the linear regression equation

(predicted weight) = 100 + 40(age)

for the weight of rats in grams and age is in weeks.

• The y-intercept is 100 which means the rat is predicted to weigh about 100 grams at birth.

• The y-intercept is about 100, which means the rats gain about 100 grams a week.

• The y-intercept is 40 which means rats are predicted to weigh 40 grams at birth.

• The y-intercept is 40 which indicates that the rats grow about 40 grams per week.