APFIVE Regression Slope Hypothesis Test Interpretation
A study examining the relationship between temperature (x) and ice cream sales (y) produced the following regression output: β̂ = 12.5, SE(β̂) = 2.1, t = 5.95, p-value < 0.001. What is the appropriate interpretation if the researcher was testing H₀: β = 0 vs. Hₐ: β ≠ 0?
A
Reject H₀; the slope differs from 12.5 units
B
Reject H₀; the slope equals 12.5 units
C
Reject H₀; there is a significant linear relationship
D
Fail to reject H₀; p-value exceeds significance level
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