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Group 3 - Assessment Chapter 4 Normal Distribution Find the area under the normal curve in each of the following. Draw a graph and shade the area. Show your solution. 1. Between 2= 0 and z-1.54 2. Between z-2.12 and z-0 3. Between 2 -2.35 and 2-1.68 4. To the right of z -1.31 5. The scores of 120 students in a test is normally distributed with a mean of 88 and a standard deviation of 5. a.) Find the percentage of the students who got a score below 96. Linear Regression and Correlation 1. What is the primary goal of Linear regression? A. To classify data into categories B. To predict a continuous outcome variables C. To identify correlations between variables D. To visualize data 2. What is the primary purpose of linear regression? A. To transform categorical data into numerical data. B. To predict a continuous outcome variable based on one or more predictor variables. C. To perform cluster analysis on a dataset. D. To reduce the dimensionality of a dataset. 3. What is the difference between simple and multiple linear regression A. Simple linear regression has one independent variable, while multiple linear regression has more than one independent variable B. Simple linear regression has multiple dependent variables, while multiple linear regression has one dependent variable C. Simple linear regression is used for categorical data, while multiple linear regression is used for continuous data D. Simple linear regression is used for small datasets, while multiple linear regression is used for large data sets 4. What is the purpose of Linear regression? A. To identify correlations between variables B. To predict a continuous outcome variable C. To classify data into categories D. To visualize data 5. If the slope (b) of a regression line is negative, what does it indicate? A. A strong positive correlation B. A weak negative correlation C. A positive relationship where Y increases as X increases D. A negative relationship where Y decreases as X increases Correlation Calculate the given data of 6 students using the formula of Pearsons Correlation Coefficient Problem: Linear Correlation A teacher wants to know if there is a relationship between the number of hours students study and their scores in a math test. The data of 6 students is shown below: Hours of Study (X) Test Score(y) 2 6. 70 75 78 85 90