Interpreting the Best Fit Regression Line and Predictions

What does each point in the scatter plot represent?

• The height and weight of a woman

• The distance walked and weight of a woman

• The distance walked and height of a woman

• The age and weight of a woman

What is a residual in the context of a linear regression model?

• The slope of the line

• The y-intercept of the line

• The total number of data points

• The distance between each data point and the line

What is the equation of a line in linear regression?

• y = ax + b

• y = x + ab

• y = a + bx

• y = ab + x

In the study, what does the variable 'x' represent?

• Height of a woman

• Age of a woman

• Weight of a woman

• Miles walked per day

What does the slope of the line indicate in this study?

• The change in distance per kilogram of weight

• The change in height per mile walked

• The change in weight per mile walked

• The change in age per mile walked

What is the y-intercept in the context of this study?

• The weight when miles walked per day is zero

• The distance walked when weight is zero

• The height when miles walked per day is zero

• The age when miles walked per day is zero

Why is it not reliable to make predictions outside the range of given data?

• Because the model is only accurate within the range of the data

• Because the data points are not evenly distributed

• Because the slope of the line changes outside the range

• Because the y-intercept is not defined outside the range

How do you signify that a weight is a predicted value in the model?

• By using a star symbol

• By using a tilde symbol

• By using a hat symbol

• By using a prime symbol

What is the residual if the actual weight is 82 kg and the predicted weight is 75.89 kg?

• 6.11 kg

• 8.11 kg

• 7.11 kg

• 5.11 kg

What should be the sum of all residuals if the line is the best fit?

• Equal to zero

• Less than zero

• Greater than zero

• Equal to one