Problem 1 1. Educational researchers wondered if the average SAT verbal score and the average SAT math score were linearly related. The table below shows data obtained in a study involving the average SAT verbal and math scores of six randomly selected states. Construct a scatter plot for the data set. 2. Find the value of the linear correlation coefficient r. Analyze this value to identify the type of relationship these data values have. 3. Find the slope b and the y-intercept a of the regression line.

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Problem 1
1. Educational researchers wondered if the average SAT verbal score and the average SAT
math score were linearly related. The table below shows data obtained in a study involving
the average SAT verbal and math scores of six randomly selected states. Construct a
scatter plot for the data set.
2. Find the value of the linear correlation coefficient r. Analyze this value to identify the
type of relationship these data values have.
3. Find the slope b and the y-intercept a of the regression line.
4. Graph the regression line.
5. Predict the average SAT math score if a state has an average SAT verbal score of 530.
6. Run a hypothesis test to determine if there is a linear relationship between the two
variables.
Verbal X
526
504
594
585
503
589
Math
Y
530
522
606
588
517
589
Transcribed Image Text:Problem 1 1. Educational researchers wondered if the average SAT verbal score and the average SAT math score were linearly related. The table below shows data obtained in a study involving the average SAT verbal and math scores of six randomly selected states. Construct a scatter plot for the data set. 2. Find the value of the linear correlation coefficient r. Analyze this value to identify the type of relationship these data values have. 3. Find the slope b and the y-intercept a of the regression line. 4. Graph the regression line. 5. Predict the average SAT math score if a state has an average SAT verbal score of 530. 6. Run a hypothesis test to determine if there is a linear relationship between the two variables. Verbal X 526 504 594 585 503 589 Math Y 530 522 606 588 517 589
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