The data below are the final exam scores of 10 randomly selected history student

Question

The data below are the final exam scores of 10 randomly selected history students and the number of hours they slept the night before the exam. Find the equation of the regression line for the given data, reporting coefficients to the nearest hundredth.

Find the equation of the regression line for the given data, rounding coefficients to the nearest hundredth (2 decimal places).

y= __ + __ Hours

Is it reasonable to predicted score for a history student who slept 10 hours the previous night?

__ (yes/no), because 10 hours __ (is / is not) well within the scope of the model.

Hours 3 3 5 2 8 2 4 4 5 6 Scores, y 55 61 80 63 88 38 71 85 90 86

Explanation / Answer

Sol)

The Regression equation is

y=a+bx

Now from Excel we have

The fitted Regression is y=40.78+7.3607 (Hours)

Now hours x=10

then the y=40.78+7.3607 (Hours)

y=40.78+7.3607 (10)=114.3870

But 10 hours 114.38 is not within the scope of the model.

Coefficients Standard Error t Stat P-value Intercept 40.78481 8.813049675 4.627775 0.001693 Hours 7.360759 1.932388973 3.80915 0.005169

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