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A statistics instructor at a large western university would like to examine the relationship (if any) between the number of optional homework problems students do during the semester and their final course grade. She randomly selects 12 students for study and asks them to keep track of the number of these problems completed during the course of the semester. At the end of the class each student's total marks is recorded along with their final grade. The data follow in Table 2. Table 2 Problem Course Grade 51 62 58 68 62 66 65 68 66 67 76 72 77 73 78 72 78 84 78 73 85 76 91 75 i. For this setting identify the response variable. ii. For this setting, identify the predictor variable. iii. Compute the linear correlation coefficient for this data set

A statistics instructor at a large western university would like to examine the relationship (if any) between the number of optional homework problems students do during the semester and their final course grade. She randomly selects 12 students for study and asks them to keep track of the number of these problems completed during the course of the semester. At the end of the class each student's total marks is recorded along with their final grade. The data follow in Table 2. Table 2 Problem Course Grade 51 62 58 68 62 66 65 68 66 67 76 72 77 73 78 72 78 84 78 73 85 76 91 75 i. For this setting identify the response variable. ii. For this setting, identify the predictor variable. iii. Compute the linear correlation coefficient for this data set

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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A statistics instructor at a large western university would like to examine the relationship (if any) between the number of optional homework problems students do during the semester and their final course grade. She randomly selects 12 students for study and asks them to keep track of the number of these problems completed during the course of the semester. At the end of the class each student's total marks is recorded along with their final grade. The data follow in Table 2. Table 2 Problem Course Grade 51 62 58 68 62 66 65 66 67 68 76 72 77 73 78 72 78 78 84 73 85 76 91 75 For this setting identify the response variable. i. i. For this setting, identify the predictor variable. Compute the linear correlation coefficient for this data set iv. ii. Classify the direction and strength of the correlation Test the hypothesis for a significant linear correlation, a = 0.05 What is the valid prediction range for this setting? Use the regression equation to predict a student's final course grade if 75 optional homework assignments are done. Use the regression equation to compute the number of optional homework assignments that need to be completed if a student expects an 85. V. vi. vii. vii. ix. х.
Transcribed Image Text:A statistics instructor at a large western university would like to examine the relationship (if any) between the number of optional homework problems students do during the semester and their final course grade. She randomly selects 12 students for study and asks them to keep track of the number of these problems completed during the course of the semester. At the end of the class each student's total marks is recorded along with their final grade. The data follow in Table 2. Table 2 Problem Course Grade 51 62 58 68 62 66 65 66 67 68 76 72 77 73 78 72 78 78 84 73 85 76 91 75 For this setting identify the response variable. i. i. For this setting, identify the predictor variable. Compute the linear correlation coefficient for this data set iv. ii. Classify the direction and strength of the correlation Test the hypothesis for a significant linear correlation, a = 0.05 What is the valid prediction range for this setting? Use the regression equation to predict a student's final course grade if 75 optional homework assignments are done. Use the regression equation to compute the number of optional homework assignments that need to be completed if a student expects an 85. V. vi. vii. vii. ix. х.
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