Q6b. (Chapter 13) A professor wants to conduct a study in a statistics class to measure the effect of solving problems at home on the performance on the final exam. She collected data at random for 20 students from a class on the number of hours spent in a week doing problem sets at home (X) and their score on the final exam (Y), as shown in the following table. Answer questions (a) through (d) based on this data. X = # of hrs/week 24 10 20 6 5 21 23 18 19 12 16 6 19 5 22 12 20 15 18 10 Y = score on the final 100 72 90 63 59 90 98 89 86 73 85 66 86 64 96 73 94 85 85 70 c. The coefficients of determination is and coefficient of non-determination is d. Perform an F-test for the significance of the regression at 0.05 level of significance. Answer if you found the model to be "significant" or "not significant" based on this test.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.2: Representing Data
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Q6b. (Chapter 13) A professor wants to conduct a study in a statistics class to measure the
effect of solving problems at home on the performance on the final exam. She collected data at
random for 20 students from a class on the number of hours spent in a week doing problem sets
at home (X) and their score on the final exam (Y), as shown in the following table. Answer
questions (a) through (d) based on this data.
X = # of hrs/week 24 10 20 6 5 21 23 18 19 12 16 6 195 22 12 20 15 18 10
Y = score on the final 100 72 90 63 59 90 98 89 86 73 85 66 86 64 96 73 94 85 85 70
c. The coefficients of determination is
and coefficient of non-determination is
d. Perform an F-test for the significance of the regression at 0.05 level of significance. Answer if you
found the model to be "significant" or "not significant" based on this test.
Transcribed Image Text:Q6b. (Chapter 13) A professor wants to conduct a study in a statistics class to measure the effect of solving problems at home on the performance on the final exam. She collected data at random for 20 students from a class on the number of hours spent in a week doing problem sets at home (X) and their score on the final exam (Y), as shown in the following table. Answer questions (a) through (d) based on this data. X = # of hrs/week 24 10 20 6 5 21 23 18 19 12 16 6 195 22 12 20 15 18 10 Y = score on the final 100 72 90 63 59 90 98 89 86 73 85 66 86 64 96 73 94 85 85 70 c. The coefficients of determination is and coefficient of non-determination is d. Perform an F-test for the significance of the regression at 0.05 level of significance. Answer if you found the model to be "significant" or "not significant" based on this test.
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