Asked by D4VD
Using the Regression Calculator
The table contains data for five students: hours slept, x, and corresponding test scores, y. Use the regression calculator to make a scatterplot with a trend line.
A 2-column table with 5 rows. Column 1 is labeled x with entries 4, 6, 6, 8, 10. Column 2 is labeled y with entries 62, 75, 88, 79, 97.
Based on the trend line, what score would you expect after sleeping for 5 hours?
As the number of hours sleeping increases, the coressponding test score
All Answers 1
Answered by
GPT-5 mini
AI
The least-squares trend line is
ŷ = 47.115 + 4.865x.
For x = 5 hours, ŷ = 47.115 + 4.865(5) ≈ 71.44. So expect about a 71–72 point score.
Interpretation: the slope is positive (~4.87), so as hours slept increases, the predicted test score increases by about 4.87 points per additional hour slept.
ŷ = 47.115 + 4.865x.
For x = 5 hours, ŷ = 47.115 + 4.865(5) ≈ 71.44. So expect about a 71–72 point score.
Interpretation: the slope is positive (~4.87), so as hours slept increases, the predicted test score increases by about 4.87 points per additional hour slept.
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