Below are a set of heights (in inches) and GPA scores for a sample of 6 students Height GPA 60 55 3.2 62 58 49 61 4.0 3.7 3.9 2.4 2.8 a. Find the correlation coefficient (r) for these two variables by hand: Find the mean and standard deviation for each variable Find the equation of the regression line to predict GPA from height by hand: Find the equation of the regression line to predict height from GPA by hand b. c. d. and e. Based on this data, what is the GPA prediction for a student who is 56 inches tall? f How good is this prediction?

Question

Mathematics

Rey Thomas

19 February, 18:28

Below are a set of heights (in inches) and GPA scores for a sample of 6 students Height GPA 60 55 3.2 62 58 49 61 4.0 3.7 3.9 2.4 2.8 a. Find the correlation coefficient (r) for these two variables by hand: Find the mean and standard deviation for each variable Find the equation of the regression line to predict GPA from height by hand: Find the equation of the regression line to predict height from GPA by hand b. c. d. and e. Based on this data, what is the GPA prediction for a student who is 56 inches tall? f How good is this prediction?

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Answers (1)

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Tucker Walls · Answer 1

Step-by-step explanation:

given are a set of heights (in inches) and GPA scores for a sample of 6 students

Height GPA

60 3.2

55 4

62 3.7

58 3.9

49 2.4

61 2.8

r = 0.3844

slope 0.05106383

Intercept 0.397163121

Regression equation is

GPA = 0.0510 (height) + 0.3972

When height = 56 inches

we get

GPA = 3.257

Actual is between gpa for 55 and 58 i. e. 3.933 approxy

Prediction is not very good.