# Regression Analysis with Correlation Coefficient

Not what you're looking for?

You are interested in finding out if a student's ACT score is a good predictor of their final college grade point average (GPA). You have obtained the following data and are going to conduct a regression analysis. What is the best fit to conduct this analysis?

ACT | GPA

22.0 | 3.0

32.0 | 3.78

33.0 | 3.68

21.0 | 2.94

27.0 | 3.38

25.0 | 3.21

30.0 | 3.65

a) What is the R? What type of relationship does it indicate (strong/weak; positive/negative)?

b) Go to the coefficients readout. The constant is the intercept. Under that is the ACT and that is the slope. Using the straight line formula of Y = mx + b, you will now predict some future GPA scores: In the formula (m) is the slope; (x) is the variable that you are looking to use as a predictor; and (b) is the intercept. Predict GPA from the following ACT scores using the regression equation/straight line formula (show all your work):

1) 20

2) 25

3) 34

##### Purchase this Solution

##### Solution Summary

A step by step explanation of the correlation coefficient r and the linear regression line for the best fit of y (the dependent variable) with respect to x (the predictor or independent variable) using a real example excel analysis. The linear regression line is also used to predict values for y.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.