AnswersDRHS GA-Statistical ReasoningCorrelationQuestion 1
1
AssignmentMultiple Select

Correlation

Question 1 • DRHS GA-Statistical Reasoning

The regression equation is ŷ = 71.9 + 46.4x. Which statements are a correct interpretation of the slope and y-intercept? Select all that apply.

Answer
A
For each increase in speed of 1 mph, an additional 46.4 calories are predicted to be burned.
B
For each increase in speed of 1 mph, an additional 71.9 calories are predicted to be burned.
C
For each decrease in speed of 1 mph, an additional 46.4 calories are predicted to be burned.
D
About 46.4 calories are burned at rest.
E
About 71.9 calories are burned at rest.

Explanation

In ŷ = 71.9 + 46.4x, the slope is 46.4, so for each 1 mph increase in speed, the predicted calories burned increase by 46.4. The y-intercept is 71.9, the predicted calories burned when speed is 0 mph—at rest. Thus, A and E are correct.

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