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ID: 2907199 • Letter: R

Question

reedkierr t References Mailings Review ViewTell me what you A·?·A-I ??:l . |a--. LNormal-NoSpac.. x' Heading 1 Heading 2 Tale Subtitle nt Pasagraph Styles Problem 2: Using the data below and Excel, answer the following questions 1. Compute the correlation between motivation and GPA 2. Test for the significance of the correlation coefficient at the 05 level using a two-tailed test 3. True or false? The more highly you are motivated, the more you will study. Which did you select and why? 3.4 3.4 2.5 3.1 2.8 2.6 2.1 1.6 3.1 2.6 3.2 3.1 3.2 2.7 2.8 2.6 2.5 2.8 1.8 3.7 3.1 2.5 24 2.1 4.0 3.0 3.1 3.3 3.0 2.0 Online resource to help with this assignment ?@?« @? ro 8

Explanation / Answer

let x be motivation and y be GPA. Here, I am using R to solve this assignment.

part A)

x =c(1,6,2,7,5,4,3,1,8,6,5,6,5,5,6,6,7,7,2,9,8,8,7,6,9,7,8,7,8,9)
length(x) = 30
y=c(3.4,3.4,2.5,3.1,2.8,2.6,2.1,1.6,3.1,2.6,3.2,3.1,3.2,2.7,2.8,2.6,2.5,2.8,1.8,3.7,3.1,2.5,2.4,2.1,4.0,3.9,3.1,3.3,3,2)
length(y) =30
cor(x, y, method = c("pearson", "kendall", "spearman"))

=0.4340226

part B)

cor.test(x, y, method=c("pearson", "kendall", "spearman"))

Pearson's product-moment correlation

data: x and y
t = 2.5493, df = 28, p-value = 0.01656
alternative hypothesis: true correlation is not equal to 0
95 percent confidence interval:
0.08742338 0.68688681
sample estimates:
cor
0.4340226

part C)

true

p value > alpha singnificance level

so that it implies that the more highly motivated the more you will study.