Answered: 1.What is/are the purpose(s) of a…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 4CYU

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We were comparing two varibles (male and female math score)by linear regression which gives us a residual plot

question

1.What is/are the purpose(s) of a residual plot in regression analysis? For the residual plot drawn in part (d), explain what you learn in the context of this problem

2.What is the purpose of drawing a histogram of the residuals in regression analysis? For the histogram of residuals drawn in part (f), explain what you learn in the context of this problem.(histogram for residuals)

my answer for 1-The residual plot is to ensure or check a linear regression model is appropriate. In our case, data points are evenly placed on two sides of horizontal axis, so it is appropriate.

for 2 does that tells us the data is normally distributed or not? what does the graph tells us. does the U shape means normally distributed? ( I know it is if its symmetric hill shape).

Histogram
30
20
10
Frequency
-3
-2
-1 0
1
2 More
3
Frequency

male mean vs female mean
700
y = 0.9632x + 8.5489
R? = 0.9799
600
500
400
300
200
100
100
200
300
400
500
600
700
male mean
slope
intercept
0.9632
8.5489
female scc 552.7569
male mean Residual Plot
200
400
600
800
-20
-40
male mean
female mean
Residuals
20

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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