What does the slope and the intercept mean in this setting? **Simple Linear Regression Results**- **Dependent Variable:** Height (inches)- **Independent Variable:** Shoe Size (inches)**Regression Equation:**\[ \text{Height (in)} = 52.293743 + 1.3679745 \times \text{Shoe Size (in)} \]- **Sample size:** 16- **R (correlation coefficient):** 0.72170907- **R-squared:** 0.52086398- **Estimate of error standard deviation:** 2.6920127**Parameter Estimates:**| Parameter | Estimate | Std. Err. | Alternative DF | T-Stat | P-value ||-----------|-----------|------------|----------------|----------|-----------|| Intercept | 52.293743 | 3.4200195 | ≠ 0 | 14 15.290481 | <0.0001 || Slope | 1.3679745 | 0.35065598 | ≠ 0 | 14 3.901187 | 0.0016 |**Analysis of Variance Table for Regression Model:**| Source | DF | SS | MS | F-stat | P-value ||--------|----|-------------|-----------|---------|---------|| Model | 1 | 110.29295 | 110.29295 | 15.21926 | 0.0016 || Error | 14 | 14101.457057 | 7.2469323 | | || Total | 15 | 211.75 | | | |**Graph Explanation:**A scatter plot is provided with shoe size (in inches) on the x-axis and height (in inches) on the y-axis. The blue dots represent the data points, and a red line indicates the fitted linear regression line. The line shows a positive correlation between shoe size and height, suggesting that as shoe size increases, height tends to increase as well.

Name: What does the slope and the intercept mean in this setting? **Simple L
Uploaded: 2024-03-20T07:06:16.000Z
Channel: Bartleby
Description: What does the slope and the intercept mean in this setting? **Simple Linear Regression Results**- **Dependent Variable:** Height (inches)- **Independent Variable:** Shoe Size (inches)**Regression Equation:**\[ \text{Height (in)} = 52.293743 + 1.36797

Interpret intercept. The intercept is interpreted as follows: Let Y denotes the Height(in),…

Answered: Simple linear regression results:…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Topic Video

Question

What does the slope and the intercept mean in this setting?

**Simple Linear Regression Results**

- **Dependent Variable:** Height (inches)
- **Independent Variable:** Shoe Size (inches)

**Regression Equation:**
\[ \text{Height (in)} = 52.293743 + 1.3679745 \times \text{Shoe Size (in)} \]

- **Sample size:** 16
- **R (correlation coefficient):** 0.72170907
- **R-squared:** 0.52086398
- **Estimate of error standard deviation:** 2.6920127

**Parameter Estimates:**

| Parameter | Estimate | Std. Err. | Alternative DF | T-Stat | P-value |
|-----------|-----------|------------|----------------|----------|-----------|
| Intercept | 52.293743 | 3.4200195 | ≠ 0 | 14 15.290481 | <0.0001 |
| Slope | 1.3679745 | 0.35065598 | ≠ 0 | 14 3.901187 | 0.0016 |

**Analysis of Variance Table for Regression Model:**

| Source | DF | SS | MS | F-stat | P-value |
|--------|----|-------------|-----------|---------|---------|
| Model | 1 | 110.29295 | 110.29295 | 15.21926 | 0.0016 |
| Error | 14 | 14101.457057 | 7.2469323 | | |
| Total | 15 | 211.75 | | | |

**Graph Explanation:**
A scatter plot is provided with shoe size (in inches) on the x-axis and height (in inches) on the y-axis. The blue dots represent the data points, and a red line indicates the fitted linear regression line. The line shows a positive correlation between shoe size and height, suggesting that as shoe size increases, height tends to increase as well.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Centre, Spread, and Shape of a Distribution$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions