You're performing a simple linear regression, whereby you check whether or not the hardness of synthetic bone for the prothesis a lines up to the target, specified hardness for each datum given by y. Unfortunately, someone spills ink all over your beautiful regression table. As a result, you can only read the following, though you also do recall that the data set had exactly 32 observations, and that we are using the default alpha for statsmodels of a = 0.05. coef std err P > |t| [0.025 0.975] MISSING| 1.438 -0.346 MISSING | -3.433 2.439 0.9223 0.136 MISSING 0.000 0.644 MISSING Compute the following values, using scipy.stats syntax if being exact is not possible. A) What is the correct numeric value for "MISSING" from the "P > [t" column of "constant"? B) What is the correct numeric value for "MISSING" from the "coef" column of "constant"? C) Because the data was meant to compare a target hardness y to a desired hardness a, you decide that an appropriate hypothesis test would be to test the null hypothesis Ho : B1 = 1, %3D since this would reflect your synthetic samples growing in hardness at the same rate as the target samples. For that hypothesis, what is the exact test statistic Ttat we would use?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Computer Science
Compute the following values
You're performing a simple linear regression, whereby you check whether or not the hardness
of synthetic bone for the prothesis x lines up to the target, specified hardness for each datum
given by y.
Unfortunately, someone spills ink all over your beautiful regression table. As a result, you can
only read the following, though you also do recall that the data set had exactly 32 observations,
and that we are using the default alpha for statsmodels of a = 0.05.
coef
std err
P > \t|
[0.025
0.975]
const
MISSING
1.438
-0.346
MISSING
-3.433
2.439
0.9223
0.136
MISSING
0.000
0.644
MISSING
Compute the following values, using scipy.stats syntax if being exact is not possible.
A) What is the correct numeric value for "MISSING" from the "P > [t" column of "constant"?
B) What is the correct numeric value for "MISSING" from the "coef" column of "constant"?
C) Because the data was meant to compare a target hardness y to a desired hardness x, you
decide that an appropriate hypothesis test would be to test the null hypothesis Ho : B1 = 1,
since this would reflect your synthetic samples growing in hardness at the same rate as the
target samples. For that hypothesis, what is the exact test statistic Ttat we would use?
Transcribed Image Text:Computer Science Compute the following values You're performing a simple linear regression, whereby you check whether or not the hardness of synthetic bone for the prothesis x lines up to the target, specified hardness for each datum given by y. Unfortunately, someone spills ink all over your beautiful regression table. As a result, you can only read the following, though you also do recall that the data set had exactly 32 observations, and that we are using the default alpha for statsmodels of a = 0.05. coef std err P > \t| [0.025 0.975] const MISSING 1.438 -0.346 MISSING -3.433 2.439 0.9223 0.136 MISSING 0.000 0.644 MISSING Compute the following values, using scipy.stats syntax if being exact is not possible. A) What is the correct numeric value for "MISSING" from the "P > [t" column of "constant"? B) What is the correct numeric value for "MISSING" from the "coef" column of "constant"? C) Because the data was meant to compare a target hardness y to a desired hardness x, you decide that an appropriate hypothesis test would be to test the null hypothesis Ho : B1 = 1, since this would reflect your synthetic samples growing in hardness at the same rate as the target samples. For that hypothesis, what is the exact test statistic Ttat we would use?
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