Question

Two separate tests are designed to measure a students ability to solve problems. Several students are randomly selected to take both tests and the results are given below

Test a: 64, 48, 51, 59, 60, 43, 41,42, 35, 50, 45

Test b: 91, 68, 80, 92, 91, 67, 65 ,67, 56, 78, 71

1. FInd the value of the linear correlation coefficient r.

2. Assuming a 0.05 significance level, find the critical value.

3. What do you conclude about the correlation between the two variables.

4. Use the sample data to fine the estimated equation of the regression line.

Answer 1

Using Excel

data -> data analysis -> regression

1)
r = 0.974
2)

critical r = 0.602 for n = 11 and alpha = 0.05

3)

since r > critical r

we reject the null hypothesis

4)
slope = 1.32

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