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The following output shows the relationship between the number of hours studied

ID: 3218891 • Letter: T

Question

The following output shows the relationship between the number of hours studied and the final grade in a statistics course: Does the final grade seem to increase as the number of hours studied increases? ___________, the coefficient of hours of study is ____________ How much of the variation in the final grade is accounted for by the hours studied? (Round the final answer to 2 decimal places.) _________% What is the correlation coefficient? (Round the final answer to 4 decimal places.) Coefficient of correlation ________ Describe the type and the strength of the relationship between the final grade and hours studied. _______ The relationship is ___________ What is the estimated final grade for five hours studied? (Round the final answer to 2 decimal places.) __________ Is this final grade reasonable?___________, the final grade __________________ reasonable.

Explanation / Answer

a) increases; coefficeint of hours =6.7369

bv)R2 =SSR/SST =1479.68/2660.78=0.5561 ~55.61%

c)correlation coeff=(R2)1/2 =0.7457

c-2) relation is positive and linear

d1)extimated grade =69.6419+5*6.7369=103.3264

asnoy reasonable as can not be grreater then 100