The regression equation, y ˆ = 93.11 - 7.196x, expresses statistical dependence of the final grade...
The regression equation, y ˆ = 93.11 - 7.196x, expresses statistical dependence of the final grade in statistics (y) on the number of classes missed by students (x) in a sample of 75 statistics students. If the coefficient of determination is r^2 = 0.5921, how much of the variation of the final grades in statistics can be explained by the variation of the numbers of classes missed by students?
Homework Answers
we ahve goven the value of coefficient of determination R2 = 0.5921
about 59.21% variation of the final grades in statistics can be explained by the variation of the numbers of classes missed by students
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The regression equation, y ˆ = 93.11 - 7.196x, expresses
statistical dependence of the final grade...
Missed Classes Final Grade 4 75 6 80 1 91 4 71 0 95 2 83...
Missed Classes Final Grade
4 75
6 80
1 91
4 71
0 95
2 83
0 91
5 86
2 96
Suppose a teacher recorded the attendance of her students in a recent statistics class because she wanted to investigate the linear relationship between the number of classes they missed and their final grades. The accompanying table shows these data for a random sample of nine students. Complete parts a through c. Click the icon to view the table...
Suppose a teacher recorded the attendance of her students in a recent statistics class because she...
Suppose a teacher recorded the attendance of her students in a recent statistics class because she wanted to investigate the linear relationship between the number of classes they missed and their final grades. The accompanying table shows these data for a random sample of nine students. Complete parts a through c. Click the icon to view the table showing missed classes and final grade. a. Using a =0.02, test the significance of the regression slope. The hypotheses for this test...
Using your favorite statistics software package, you generate a scatter plot with a regression equation and...
Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as - 13.83.2 + 86.29 and the r= -0.771. What proportion of the variation in y can be explained by the variation in the values of x?! % Report answer as a percentage accurate to one decimal place.
58. The equation of a regression line is Y = 20 +5X where X = hours...
58. The equation of a regression line is Y = 20 +5X where X = hours studied and Y = exam score. Interpret the slope. a) As study time increases by 5 hours, exam score increases by 20 points on average. b) As study time increases by 1 hour exam score increases by 5 points on average. c) As study time increases by 5 hour exam score increases by 1 point on average. d) We expect a student who does...
The data below represent the number of days absent, x, and the final grade, y, for...
The data below represent the number of days absent, x, and the final grade, y, for a sample of college students at a large university. Complete parts (a) through (e) below. No. of absences, x 0 1 2 3 4 5 6 7 8 9 Final grade, y 88.1 85.1 82.1 79.6 76.5 72.0 62.3 66.7 63.7 60.7 (a) Find the least-squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y, as...
Assume that the correlation coefficient between achievement test scores (X) and grade point averages (Y) among...
Assume that the correlation coefficient between achievement test scores (X) and grade point averages (Y) among a simple random sample of 34 first grade students is 0.52. Then, we can conclude that approximately 27% of the variance in grade point averages is explained by achievement test scores. Note, the statistic referenced in the previous sentence is the coefficient of determination, aka R-squared. True False
Run a regression analysis on the following data set, where y is the final grade in...
Run a regression analysis on the following data set, where y is the final grade in a math class and x is the average number of hours the student spent working on math each week. hours/week Grade х у 4 41.6 4 54.6 8 68.2 8 73.2 8 66.2 11 63.4 11 70.4 11 80.4 13 71.2 16 85.4 State the regression equation y = mx + b, with constants accurate to two decimal places. What is the predicted value...
5 7 8 10 11 12 Suppose a teacher recorded the attendance of her students in...
5 7 8 10 11 12 Suppose a teacher recorded the attendance of her students in a recent statistics class because she wanted to investigate the linear relationship between the number of classes they missed and their final grades. The accompanying table shows these data for a random sample of nine students. Complete parts a through c. Click the icon to view the table showing missed classes and final grade. a. Calculate the correlation coefficient for this sample. The correlation...
The following data represents the number of days absent and the final grade for a sample...
The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university. 0 1 2 3 4 5 6 7 8 9 No. of absences Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2 a) Which variable is the explanatory variable? b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form). c) Compute the correlation coefficient d)...
1. The following data represents the number of days absent and the final grade for a...
1. The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university. No. of absences 0 1 2 3 4 5 6 7 8 9 Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2 a) Which variable is the explanatory variable? b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form). c) Compute the correlation coefficient....
Missed Classes Final Grade
4 75
6 80
1 91
4 71
0 95
2 83
0 91
5 86
2 96
Suppose a teacher recorded the attendance of her students in a recent statistics class because she wanted to investigate the linear relationship between the number of classes they missed and their final grades. The accompanying table shows these data for a random sample of nine students. Complete parts a through c. Click the icon to view the table...
Suppose a teacher recorded the attendance of her students in a recent statistics class because she wanted to investigate the linear relationship between the number of classes they missed and their final grades. The accompanying table shows these data for a random sample of nine students. Complete parts a through c. Click the icon to view the table showing missed classes and final grade. a. Using a =0.02, test the significance of the regression slope. The hypotheses for this test...
Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as - 13.83.2 + 86.29 and the r= -0.771. What proportion of the variation in y can be explained by the variation in the values of x?! % Report answer as a percentage accurate to one decimal place.
58. The equation of a regression line is Y = 20 +5X where X = hours studied and Y = exam score. Interpret the slope. a) As study time increases by 5 hours, exam score increases by 20 points on average. b) As study time increases by 1 hour exam score increases by 5 points on average. c) As study time increases by 5 hour exam score increases by 1 point on average. d) We expect a student who does...
Run a regression analysis on the following data set, where y is the final grade in a math class and x is the average number of hours the student spent working on math each week. hours/week Grade х у 4 41.6 4 54.6 8 68.2 8 73.2 8 66.2 11 63.4 11 70.4 11 80.4 13 71.2 16 85.4 State the regression equation y = mx + b, with constants accurate to two decimal places. What is the predicted value...
5 7 8 10 11 12 Suppose a teacher recorded the attendance of her students in a recent statistics class because she wanted to investigate the linear relationship between the number of classes they missed and their final grades. The accompanying table shows these data for a random sample of nine students. Complete parts a through c. Click the icon to view the table showing missed classes and final grade. a. Calculate the correlation coefficient for this sample. The correlation...
The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university. 0 1 2 3 4 5 6 7 8 9 No. of absences Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2 a) Which variable is the explanatory variable? b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form). c) Compute the correlation coefficient d)...
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