Suppose an algebra professor found that the correlation between study time (in hours) and exam score (out of 100) is +.80, and the regression line was found to be y = 20 + 4x. He arrived at this equation through years of collecting data on his students, most of whom reported studying anywhere from 0 to 20 hours for his exams. For which values of study time does the professor's regression equation make sense in terms of predicting exam scores?
a. Between 0 and 20 hours.
b. Between 0 and 100 hours.
c. Anything greater than or equal to 0 hours.
d. It is not possible to predict exam score with study time.
Q. 2Suppose an algebra professor found that the correlation between study time (in hours) and exam score (out of 100) is +.80, and the regression line was found to be y = 20 + 4x. He arrived at this equation through years of collecting data on his students, most of whom reported studying anywhere from 0 to 20 hours for his exams. In order to get a 100 on this exam, how long should students expect to study (minimum)?
Q. 3Suppose an algebra professor found that the correlation between study time (in hours) and exam score (out of 100) is +.80, and the regression line was found to be y = 20 + 4x. He arrived at this equation through years of collecting data on his students, most of whom reported studying anywhere from 0 to 20 hours for his exams. What meaning (if any) does the slope of 4 have in this situation? Use words that a non-statistics student would be able to understand.
Q. 4Suppose an algebra professor found that the correlation between study time (in hours) and exam score (out of 100) is +.80, and the regression line was found to be y = 20 + 4x. He arrived at this equation through years of collecting data on his students, most of whom reported studying anywhere from 0 to 20 hours for his exams. What meaning (if any) does the y intercept of 20 have in this situation? Use words that a non-statistics student would be able to understand.
Q. 5Suppose an algebra professor found that the correlation between study time (in hours) and exam score (out of 100) is +.80, and the regression line was found to be y = 20 + 4x. He arrived at this equation through years of collecting data on his students, most of whom reported studying anywhere from 0 to 20 hours for his exams. Which variable is X and which variable is Y in this situation?
Q. 6If there is no linear relationship between two measurement variables, the correlation is __________.
Fill in the blank(s) with correct word
Q. 7The __________ between two measurement variables is an indicator of how closely their values fall to a straight line.
Fill in the blank(s) with correct word