A researcher uses a regression equation to predict home heating bills (dollar cost), based on home size (square feet). The correlation between predicted bills and home size is 0.70. What is the correct interpretation of this finding? (A) 70% of the variability in home heating bills can be explained by home size. (B) 49% of the variability in home heating bills can be explained by home size. (C) For each added square foot of home size, heating bills increased by 70 cents. (D) For each added square foot of home size, heating bills increased by 49 cents. (E) None of the above.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 12PPS
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A researcher uses a regression equation to predict home heating
bills (dollar cost), based on home size (square feet). The correlation
between predicted bills and home size is 0.70. What is the correct
interpretation of this finding?
(A) 70% of the variability in home heating bills can be explained by
home size.
(B) 49% of the variability in home heating bills can be explained by
home size.
(C) For each added square foot of home size, heating bills
increased by 70 cents.
(D) For each added square foot of home size, heating bills
increased by 49 cents.
(E) None of the above.
Transcribed Image Text:A researcher uses a regression equation to predict home heating bills (dollar cost), based on home size (square feet). The correlation between predicted bills and home size is 0.70. What is the correct interpretation of this finding? (A) 70% of the variability in home heating bills can be explained by home size. (B) 49% of the variability in home heating bills can be explained by home size. (C) For each added square foot of home size, heating bills increased by 70 cents. (D) For each added square foot of home size, heating bills increased by 49 cents. (E) None of the above.
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