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Author Question: We record the amount of time (xin minutes) per day that a group of 12 high school students spend ... (Read 67 times)

jlol3

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on: Feb 26, 2023

Question 1

This histogram shows residuals from a simple linear regression:



It appears that:


◦

there is a dependence among the errors.


◦

the mean of the error distribution is not zero.


◦

the error distribution is not normal.


◦

the error variance is not constant.



Question 2

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 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

​

Does there appear to be a significant linear relationship between theamount of cell phone use and GPA? (Use α = 0.01.)


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No, because ther2value is too low.


◦

Yes, because the regression equation is defined.


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Yes, because thep-value from the test for significance is 0.000.


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Yes, because thep-value from the test for significance is 0.001.

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Marked as best answer by jlol3 on Feb 26, 2023

jacquelyngibson

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Reply #1 on: Feb 26, 2023
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jlol3

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Reply 2 on: Feb 26, 2023
Excellent

komodo7

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Reply 3 on: Yesterday
Great answer, keep it coming :)

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