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# stats5 - variation in ACT scores explained by the linear...

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3. A researcher is interested in the relationship between test scores (TS) and the student teacher ratio (STR). Data was collected from 100 school districts. The average TS is 600 with a standard deviation of 12. The average STR is 20 with a standard deviation of 2. TS are regressed against the STR. The slope of the OLS regression line is -5. What is the correlation between TS and the STR (rounded to two decimal places)? 4. Many high school students take either the SAT or the ACT. However, some students take both. Data was collected from 200 students who took both college entrance exams. The average SAT score was 950 with a standard deviation of 100. The average ACT score was 24 with a standard deviation of 10. ACT scores are regressed against SAT scores. The fraction of the

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Unformatted text preview: variation in ACT scores explained by the linear relationship between ACT scores and SAT scores is .25. There is a positive relationship between ACT scores and SAT scores. What is the slope of the OLS regression line? 5. A regression of test scores (TS, measured in points) on age (measured in years) using a random sample of high school students aged 15-18 yields the following: In the sample, the average age is 16.2. What is the average test score in the sample? Problem Set #5 Bloodtype A B AB O US probability .1 .2 .3 .4 Chinese probability .2 .2 .2 .4 1. Below are the distributions of blood types in the US and China: Choose an Ameriacn and a Chinese at random, independently of eachother. What is the...
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stats5 - variation in ACT scores explained by the linear...

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