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We record the amount of time (xin minutes) per day that a group of 12 high school students spend ...

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We record the amount of time (xin minutes) per day that a group of 12 high school students spend ...

We record the amount of time (x in minutes) per day that a group of 12 high school students spend using their cell phone (texting, talking, and web use). We also record the overall GPA (y) of each student. Following is a regression summary for these data:

The regression equation is

GPA = 4.01 - 0.0153 CellTime

Predictor Coef SE Coef T P

Constant 4.0084 0.2486 6.12 0.000

CellTime -0.015334 0.003226 -4.75 0.001

S = 0.472864 R-Sq = 69.3% R-Sq(adj) = 66.3%

Analysis of Variance

Source DF SS MS F P

Regression 1 5.0519 5.0519 22.59 0.001

Residual Error 10 2.2360 0.2236

Total 11 7.2879

What is a 95% confidence interval for the average GPA change associated with a 1-min increase in average daily cell use (β₁)?

▸

(–0.0225,–0.0082)

▸

(3.4545, 4.5623)

▸

(–0.0212,–0.0095)

▸

(3.5578, 4.4590)

Textbook

Introductory Statistics: A Problem-Solving Approach

Edition: 3^rd

Author: Kokoska

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