It is believed that standardized test scores, such as SAT, is a good predictor of first-year college students' GPA. 1200 1120 1000 1420 1280 750 1100 y 3.2 2.5 2.7 3.5 2.9 2.2 2.3 1. Find the p-value to determine if there is a linear correlation between SAT scores and GPA. Record the p- value below. Round to four decimal places. p-value = 2. Is there a linear correlation between SAT scores and GPA? 3. If there is a linear correation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places.

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It is believed that standardized test scores, such as SAT, is a good predictor of first-year college students'
GPA.
750
1200
3.2
1120
1000
1420
1280
1100
2.5
2.7
3.5
2.9
2.2
2.3
1. Find the p-value to determine if there is a linear correlation between SAT scores and GPA. Record the p-
value below. Round to four decimal places.
p-value =
2. Is there a linear correlation between SAT scores and GPA?
3. If there is a linear correation, write the correlation coefficient below. Otherwise, leave it blank. Round
your final answer to four decimal places.
T=
4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all
numbers to four decimal places.
5. Using the data shown above, predict a student's first-year GPA when the student scores a 1275 on the
SAT. Round your final answer to two decimal places.
6. If there is a linear correlation, what percentage of variation in GPAS can be explained by students' SAT
scores? If there is not a linear correlation, leave it blank. Round your final anwer to two decimal places.
%
Transcribed Image Text:It is believed that standardized test scores, such as SAT, is a good predictor of first-year college students' GPA. 750 1200 3.2 1120 1000 1420 1280 1100 2.5 2.7 3.5 2.9 2.2 2.3 1. Find the p-value to determine if there is a linear correlation between SAT scores and GPA. Record the p- value below. Round to four decimal places. p-value = 2. Is there a linear correlation between SAT scores and GPA? 3. If there is a linear correation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places. T= 4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places. 5. Using the data shown above, predict a student's first-year GPA when the student scores a 1275 on the SAT. Round your final answer to two decimal places. 6. If there is a linear correlation, what percentage of variation in GPAS can be explained by students' SAT scores? If there is not a linear correlation, leave it blank. Round your final anwer to two decimal places. %
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