Question

The number of hours10 students spent studying for a test and their scores on that test are shown below. Is there enough evidenceto conclude that there is a significant linear correlation between the data. Use alpha=0.05

hours, x: 0 1 2 3 4 5 6 7 8 Test score, Y: 35 42 51 57 63 70 76 78 82 93 Setup the hypothesis for the test? identify the critical value(s) calculate the test statistic? what is your conclusion?

Answer 1

The Correlation coefficient is

Tle linear correlation Coefficent is r = 0.9929

Hypothesis Testing

Null Hypothesis

Alternative Hypothesis

Under H0, the test statistic is

Degrees of freedom = n-2 = 8

Significance level

The critical value of t for 8 df at 5% significance level is 2.306

Since t calculated is greater than t tabulated, REject H0.

Hence, at 5% significance level, we have enough evidence to conclude that there is a significant linear correlation between the data