A university admission officer would like to predict the grade-point average (GPA) for a prospective student currently in senior high school. A multiple regression may be helpful. GPA SAT English SAT Math GPA SAT English SAT Math 1.73 354 608 3.84 560 651 1.92 705 435 1.79 618 593 3.64 502 568 1.21 544 407 2.97 491 489 3.90 506 409 1.12 441 419 2.22 484 445 1.35 481 509 2.20 516 392 3.68 375 367 1.65 481 485 3.81 525 348 3.76 578 733 3.61 436 391 2.84 417 549 3.31 359 570 1.91 381 495 3.56 382 587 3.28 461 757 2.62 518 634 2.48 538 540   Determine the Regression Line Determine GPA when SAT English = 600 and SAT Math = 600 SAT English = 550 and SAT Math = 650 SAT English = 650 and SAT Math = 550 SAT English = 500 and SAT Math = 700

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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.