A linear regression model was fit to predict cost of text books
using the number of pages. We found the slope to be 0.147,
the intercept to be -3.42, and the coefficient of determination (r
squared) to be .677. Select the correct interpretation
for each of these values.
a) The intercept:
[ Select ]
["The intercept is -3.42, meaning
books cost -3.42 dollars less for each page.", "The intercept is
-3.42, meaning a $0 text book has -3.42 pages.", "The intercept is
-3.42, meaning the predicted cost of a 0 page book is -3.42.", "The
intercept is -3.42, meaning all text book cost $342."]
b) The slope:
[ Select ]
["The slope is 0.147, meaning each additional
page increases the predicted price by 0.147.", "The slope is 0.147,
meaning all books cost exactly 0.147 times the number of pages.",
"The slope is 0.147, meaning each additional dollar increases the
predicted number of pages by 0.147.", "The slope is 0.147, meaning
the predicted price is 0.147 times the number of pages"]
c) r2
[ Select ]
["The coefficient of
determination is .677, meaning the line correctly predicts the
price of 67.7% of the textbooks.", "The coefficient of
determination is .677, meaning that 67.7% of the variability in
textbook number of pages is explained by the price.", "The
coefficient of determination is .677, meaning that 67.7% of the
variability in textbook prices is explained by the number of
pages.", "The coefficient of determination is .677, meaning 67.7%
of textbooks have pages.", "The coefficient of determination is
.677, meaning 67.7% of textbooks fall close to the least squares
line."]