A teacher records the amount of time it took a random sample of students to finish a test and their scores on that test. Let x be the score and y be the amount of time. Conduct a hypothesis test of the claim that there is a linear correlation between the variables, using a 0.10 level of significance. Find the PERCENTAGE OF THE VARIANCE IN THE Y-VALUES THAT CAN BE EXPLAINED BY THEIR LINEAR RELATIONSHIP WITH THE X-VALUES.

The question is incomplete. The complete table is:      

Score in percent (X): 80, 75, 70, 90, 95, 100, 75, 60, 75, 95

Time in minute (Y) : 45, 48, 40, 50, 40, 30, 30, 39, 38, 55

The answer is 0.55 %

Step-by-step explanation:

ΣX = 815

ΣY = 425

ΣX x Y = 34565

Σ = 67925

Σ = 18699          

So, correlation coefficient, b

b = -0.0741

Correlation Determination:

    = = 0.0055 = 0.55%

Therefore,  0.55 percentage of the variation in y can be explained by x variable.

what are the statments

step-by-step explanation: