What are the predictor variables in general and what we can observe in general—normal distribution, skewed in any plot or graph

Q: In a standard normal distribution, the mean is always 0 Does this suggest that half of the scores…

A: In a standard normal distribution, the mean is always 0 and the Standard deviation is always equal…

Q: The difference between two sample means follows a normal distribution if both populations follow a…

A: True We can find it by using the Central limit theorem. By the theorem, difference in sample means…

Q: Why is normal distribution important in statistics and in everyday life?

A: Normal Distribution is important in statistics because many natural phenomena follows Normal…

Q: what is a standard normal distribution?

A: Since you have posted a multiple question, we will solve first question for you.

Q: What are Normal Distributions?

A: The normal distribution is often called the bell curve because the graph of its probability density…

Q: Explain the the Chi-Squared Distribution?

A:

Q: In the normal curve, the measure of variability all coincides at the center. O TRUE FALSE

A: True or False

Q: What is the special property of the standard normal distribution?

A: Standard normal distribution: The total area under the density curve is equal to 1.

Q: what is normal distribution? What information does it provide? Why is it important?

A: The normal distribution is used for finding the probability of the continuous variable when the data…

Q: Variability in a distribution that would be otherwise non-normal may tend towards normality with…

A: When the distribution is non-normal and if random sampling is used, there are chances that the…

Q: Explain the difference between binomial and normal distribution

A: It is asked to tell the difference between the binomial and normal distribution

Q: What are the Properties of the Normal Curve?

A: A normal curve is identified using the values of the mean and standard deviation to show the…

Q: Describe about the Properties of the Normal Curve?

A: A normal curve is identified using the values of the mean and standard deviation to show the…

Q: Can you describe the normal curve and explain why the normal curve in real-life distributions will…

A: Normal distribution: A normal distribution is the proper term for a probability bell curve. In a…

Q: State two of the main reasons for studying the normal distribution.

A: The two main reasons for studying the normal distribution are as follows:The normal distribution is…

Q: Explain the Multivariate Normal Distribution?

A:

Q: When we standardize using​ Z-scores, the shape of the distribution changes.   True…

A: Changing the values in z-scores does not change the shape of distribution. Clearly if values are…

Q: Explain the Normal Distribution? Also Define normal distribution for a single variable?

A:

Q: how to know if something is a normal distribution or not

A: Introduction:Several tests of normality exist, using which you can verify whether a particular data…

Q: What does a distribution represent?

A: A distribution nothing but function that represent the possible values for a variable and how often…

Q: Explain when a random variable might be modelled using a Normal distribution, and give an example of…

A: Mathematically, Whenever a random variable is formed by adding a number of other individual…

Q: Which of the following does NOT describe the graph of a standard normal distribution?

A: The Standard Normal distribution has two parameters, one is mean and Standard deviation.

Q: Define the sampling distribution of the sample mean for normal population when the variance is…

A: Let the sampling distribution of the sample for normal population when the variance is unknown is…

Q: What z-score value separates the highest 10% of the scores in a normal distribution from the lowest…

A: We want to find highest 10% value for z score

Q: What are the characteristics of a normal distribution? What two characteristics make a distribution…

A: Given that  What are the characteristics of a normal distribution?   What two characteristics make a…

Q: Define the sampling distribution of the sample mean for normal population when the variance is known

A: Let sampling distribution for normal population when the variance is known is Nμ,σ2. The sampling…

Q: What is the difference between a normal and binomial distribution?

A: Statistics uses normal distributions more often than binomial distributions most of the time.…

Q: Why is it that the “COVID curve” cannot be considered as a normal distribution?

A: COVID Curve cannot be considered as a normal distribution due to the following reasons:

Q: a) What are the characteristics of the standard normal distribution?

A:

Q: Course is psychology statistics. Explain the difference between the body and the tail of a…

A: To Explain difference Between boday and tail of a distribution, We need to know Box Whisker plot

Q: What z-score value separates the highest 70% of the scores in a normal distribution from the lowest…

A: Normal distribution is given.

Q: explain normal distribution with examples?

A: The normal distribution is the most important probability distribution in Statistics because it fits…

Q: What is the Empirical Rule and how does this rule apply to a normal distribution of data?

A: We have to define the Empirical Rule and how does this rule apply to a normal distribution of data.

Q: State how the difference between the shape of the t distribution and normal distribution is affected…

A: There is a property of t-distribution which indicates that with the increase in the degrees of…

Q: Identify if its true or false The mean, median and mode of normal distribution are NOT necessarily…

A: The normal distribution curve is bell-shaped and is symmetrical about the line x = μ. The mode of…

Q: For any normal distribution, what is the probablity of selection a score less than the mean?

A: Given, The variable follows normal distribution.

Q: The mean is the 50th percentile of any normal distribution.  True  False

A: The mean is the 50th percentile of any normal distribution.

Q: Write what you know about normal distribution and standard distribution ?

A: Define normal distribution and standard normal distribution

Q: What do you mean by a normal curve (normal distribution) ?

A: Given : Normal curve (Normal distribution)

Q: What are the characteristics of a normal distribution?

A: Normal distribution- It is a frequency distribution curve. It is also called bell shaped curve. In…

Q: According to the Empirical Rule, in a Normal Distribution of data you will have

A: We know that Empirical rule : 68% data lies within one standard deviation of the Mean. ( μ ± σ) 95%…

Q: What is left skewed distribution

A: Here we have to define What is left skewed distribution.

Q: What does it mean to say that the graph of the normal distribution is symmetric?

A: Solution: From the given information, the graph of the normal distribution is symmetric.

Q: What is the axis of symmetry of the graph of the standard normal distribution?   Is it the vertical…

A: A standard normal distribution has two parameters: mean and standard deviation. Let X be a random…

Q: 1. What are the applications of Normal Distribution?

A: 1.To determine the percentage of cases (in a normal distribution) within given limits or scores. 2.…

Q: What are the percentages of scores that fall between a)-1 and 0/0 and 1 b) -1 and -2/1 and 2)c in…

A: Given Empirical rule: For a normal distribution, 68% of values fall within 1 standard deviation of…

Q: A normal distribution curve is bell- shaped.

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.