Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. b. Interpret the meaning of the slope, b₁. Choose the correct answer below. OA. The slope, b₁ = 4, implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 4 units. B. The slope, b₁ = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units. OC. The slope, b₁ = 4, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 4 units. D. The slope, b₁ = 4, implies that the average value of Y is 4. c. Predict the mean value of Y for X = 2. Y₁ = (Simplify your answer.)
Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below. b. Interpret the meaning of the slope, b₁. Choose the correct answer below. OA. The slope, b₁ = 4, implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 4 units. B. The slope, b₁ = 8, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units. OC. The slope, b₁ = 4, implies that for each increase of 1 unit in X, the value of Y is expected to increase by 4 units. D. The slope, b₁ = 4, implies that the average value of Y is 4. c. Predict the mean value of Y for X = 2. Y₁ = (Simplify your answer.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below.
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**b. Interpret the meaning of the slope, \( b_1 \). Choose the correct answer below.**
- \( \bigcirc \) A. The slope, \( b_1 = 4 \), implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 4 units.
- \( \bigcirc \) B. The slope, \( b_1 = 8 \), implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units.
- \( \bigcirc \) C. The slope, \( b_1 = 4 \), implies that for each increase of 1 unit in X, the value of Y is expected to increase by 4 units.
- \( \bigcirc \) D. The slope, \( b_1 = 4 \), implies that the average value of Y is 4.
---
**c. Predict the mean value of Y for X = 2.**
\[ \hat{Y}_i = \]
(Simplify your answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F710e59c6-4738-4995-a68d-52cf2fbdc504%2F97d53644-93ab-4d03-8767-19e010ab74f6%2F6rsqhr5_processed.png&w=3840&q=75)
Transcribed Image Text:Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below.
---
**b. Interpret the meaning of the slope, \( b_1 \). Choose the correct answer below.**
- \( \bigcirc \) A. The slope, \( b_1 = 4 \), implies that for each increase of 1 unit in X, the value of Y is expected to decrease by 4 units.
- \( \bigcirc \) B. The slope, \( b_1 = 8 \), implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units.
- \( \bigcirc \) C. The slope, \( b_1 = 4 \), implies that for each increase of 1 unit in X, the value of Y is expected to increase by 4 units.
- \( \bigcirc \) D. The slope, \( b_1 = 4 \), implies that the average value of Y is 4.
---
**c. Predict the mean value of Y for X = 2.**
\[ \hat{Y}_i = \]
(Simplify your answer.)
![Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below.
\[
\hat{Y}_i = 8 + 4X_i
\]
**a. Interpret the meaning of the Y-intercept, \( b_0 \). Choose the correct answer below.**
- A. The Y-intercept, \( b_0 = 8 \), implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units.
- B. The Y-intercept, \( b_0 = 4 \), implies that when the value of X is 0, the mean value of Y is 4.
- C. The Y-intercept, \( b_0 = 8 \), implies that the average value of Y is 8.
- D. The Y-intercept, \( b_0 = 8 \), implies that when the value of X is 0, the mean value of Y is 8.
**b. Interpret the meaning of the slope, \( b_1 \). Choose the correct answer below.**
*(Note: The options and explanations for the slope interpretation are not provided in the given image.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F710e59c6-4738-4995-a68d-52cf2fbdc504%2F97d53644-93ab-4d03-8767-19e010ab74f6%2Fyc4m2re_processed.png&w=3840&q=75)
Transcribed Image Text:Fitting a straight line to a set of data yields the following prediction line. Complete (a) through (c) below.
\[
\hat{Y}_i = 8 + 4X_i
\]
**a. Interpret the meaning of the Y-intercept, \( b_0 \). Choose the correct answer below.**
- A. The Y-intercept, \( b_0 = 8 \), implies that for each increase of 1 unit in X, the value of Y is expected to increase by 8 units.
- B. The Y-intercept, \( b_0 = 4 \), implies that when the value of X is 0, the mean value of Y is 4.
- C. The Y-intercept, \( b_0 = 8 \), implies that the average value of Y is 8.
- D. The Y-intercept, \( b_0 = 8 \), implies that when the value of X is 0, the mean value of Y is 8.
**b. Interpret the meaning of the slope, \( b_1 \). Choose the correct answer below.**
*(Note: The options and explanations for the slope interpretation are not provided in the given image.)*
Expert Solution
Step 1
a.
The given regression line is, Ŷi = 8 + 4Xi.
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