Students enrolling in Statistics at College ABC took a math aptitude test at the
ID: 3366269 • Letter: S
Question
Students enrolling in Statistics at College ABC took a math aptitude test at the beginning of the semester. Statistic professors at College ABC believe that the final grade in Statistics is correlated with the math aptitude data. When they did the statistical analysis they found that the best fit regression line between the math aptitude score (x) and the final Statistics grade (y) was y = 26.768 + 0.644x. What final Statistics grade would be achieve if a student had a 90%on the math aptitude test?The coefficient of determination for this data set is 0.48. What does this mean? Students enrolling in Statistics at College ABC took a math aptitude test at the beginning of the semester. Statistic professors at College ABC believe that the final grade in Statistics is correlated with the math aptitude data. When they did the statistical analysis they found that the best fit regression line between the math aptitude score (x) and the final Statistics grade (y) was y = 26.768 + 0.644x. What final Statistics grade would be achieve if a student had a 90%on the math aptitude test?
The coefficient of determination for this data set is 0.48. What does this mean? Students enrolling in Statistics at College ABC took a math aptitude test at the beginning of the semester. Statistic professors at College ABC believe that the final grade in Statistics is correlated with the math aptitude data. When they did the statistical analysis they found that the best fit regression line between the math aptitude score (x) and the final Statistics grade (y) was y = 26.768 + 0.644x. What final Statistics grade would be achieve if a student had a 90%on the math aptitude test?
The coefficient of determination for this data set is 0.48. What does this mean?
Explanation / Answer
x: Math aptitude score
Y: Final statistic grade
Regression equation is
y = 26.768 + 0.644( x)
Let X= 90
Y = 26.768 + 0.644 * (90)
= 26.768 + 57.96
Y = 84.728 ~ 85
Final statistic grade is 85.
Coefficient of determination is R squared which means % of variation in response varaible ( dependent variable ) explained by independent variable.
Here rsqaured=0.48
means 48% of variation in final statistic grade explained by math aptitude test.