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State Math SAT Scores. Refer to the SPSS simple linear
Chapter 11, Problem 45E(choose chapter or problem)
State Math SAT Scores. Refer to the SPSS simple linear regression relating y = average state SAT Math score in 2011 with x = average state SAT Math score in 2001, Exercise 11.15 (p. 614).
a. Give the null and alternative hypotheses for determining whether a positive linear relationship exists between y and x.
b. Locate the p-value of the test on the SPSS printout. Interpret the result if \(\alpha\ =\ .05\).
c. Find a 95% confidence interval for the slope, \(\beta_1\). Interpret the result.
Questions & Answers
QUESTION:
State Math SAT Scores. Refer to the SPSS simple linear regression relating y = average state SAT Math score in 2011 with x = average state SAT Math score in 2001, Exercise 11.15 (p. 614).
a. Give the null and alternative hypotheses for determining whether a positive linear relationship exists between y and x.
b. Locate the p-value of the test on the SPSS printout. Interpret the result if \(\alpha\ =\ .05\).
c. Find a 95% confidence interval for the slope, \(\beta_1\). Interpret the result.
ANSWER:Step 1 of 7
a)
Obtain the hypothesis for testing the positive linear relationship between average state SAT Math score in 2011 and average state SAT Math score in 2001.
The null hypothesis is given below:
: The model is not positively linearly related .
The alternative hypothesis is given below:
.
The model is positively linearly related