3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a 1140 on the SAT? Truncate to two decimal places. just part d
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs:
|
x |
1232 |
1070 |
1086 |
1287 |
1130 |
1048 |
1121 |
1095 |
1135 |
1208 |
1333 |
1160 |
1186 |
1243 |
1261 |
|
y |
3.52 |
2.91 |
2.4 |
3.47 |
3.47 |
2.37 |
2.4 |
2.24 |
3.02 |
3.32 |
3.59 |
2.54 |
3.19 |
3.71 |
3.58 |
The
(a) Find the sample
(b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean?
(c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean?
(d) What is the predicted GPA if a computer science major got a 1140 on the SAT? Truncate to two decimal places.
just part d
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