You are given the following data, where X1 (final percentage in math class) and X, (number of absences) are used to predict Y (standardized math test score in third grade): Detemiar te fillowngmuhple regression values Repart intept and slopes ir regression equation accurate to 3 decimal places t 217641 Petal slige I, = 245 Patal diege Ig - Y X X2 400 82 420 80 2 300 65 310 Repurt um of squrs accente to 3 decimal places 61 5 415 95 2 345 70 3 410 72 1 Test the suguficner ef de ovmal reprse model (eport Feaho accuate to 3 decamal places and Palue accurate to 4 decmal placen Fato) 350 78 3.
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.
![You are given the following data, where X, (final
percentage in math class) and X2 (number of
absences) are used to predict Y (standardized math
test score in third grade):
Detemine the followng mahple regression values
Y X X2
400 82
420 80
Report interept and slopes far regression equation accurate to 3 decimal places
tt a 217541
Petul slepe X = 265
Patal slege Xy - 158
2
300
65
Repet un ef qures scout dconal places
310
61
5
415
95
2
345
70
3.
410
72
1
350
78
3
Feno 1163
Pale IS
465
92
2
350
70
3
Rqat de anmce of the rmiduals accurte to 3 decimal places
MS 6 425
375
88
375
92
6.
390
80
Determine the following multiple regression
Repart the test mautes far the mpen coefficint accurte to 3 decimal places
4-151
values.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d5d4e20-00b6-4cd6-bd92-ee4fffcf58d0%2F1f7d9efc-13e2-4a01-b317-b73091969df6%2Fm8ropjj_processed.jpeg&w=3840&q=75)
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