Question

Please do your work on paper Show all of your work. You may use excel to do calculations, but you must show all of the steps you took to get to the answers. Make sure it is all in one document and upload that document. Below are a set of heights (in inches) and GPA scores for a sample of 6 students. Height, GPA 60, 4.0 55, 3.2 62, 3.7 58, 3.9 49, 2.4 61, 2.8 6 points a) Find the correlation coefficient (r) for these two variables by hand 4 points b) Find the mean and standard deviation for each variable. 5 points c) Find the equation of the regression line to predict GPA from height by hand 3 points d) Based on this data, what is the GPA prediction for a student who is 56 inches tall

Answer 1

R = 0.6407

y = 0.08511X - 1.56028 ; 3.2

Explanation:

Given the data:

HEIGHT, inches (X) :

60

55

62

58

49

61

GPA :

4.0

3.2

3.7

3.9

2.4

2.8

Using a linear regression calculator :

The regression equation obtained is :

y = 0.08511X - 1.56028

Slope = 0.08511 ; intercept = 1.56028

*

GPA for student with height, 56

y = 0.08511(56) - 1.56028

y = 3.20588

y = 3.2

The correlation Coefficient, r vlaue :

The correlation Coefficient, R value for the model which ecakutes the degree of correlation between the dependent and independent variable is 0.6407 (strong positive relationship)