What formula is used to gain information about an individual data value when the variable is normally distributed?

Many high school students take either the SAT or the ACT. However, some students take both. Data were collected from 100 students who took both college entrance exams. The average SAT score was 920 with a standard deviation of 170. The average ACT score was 20 with a standard deviation of 5. The correlation coefficient r between these two variables equals 0.82. To predict the SAT score from a student’s ACT score, what is the equation of the least-squares regression line? Please show your work.

What are the assumptions of multiple linear regressions only?

A test has been devised to measure a student's level of motivation during high school. The motivation scores on this test are approximatley normally distributed with a mean of 40 and a standard deviaton of 10. The higher the score the greater the motivation to do well in school. What percentage of students taking his test will score above a 50?

A least squares line is given by =  3 + (-2)*x. You  are told that the sample variance of x is 25 and sample variance of y is 144. What is the value of the correlation coefficient r?

Last years Data Management class decided to see if there was a relationship between the score (out of 10) a student got on the two-variable stats quiz, and their score (out of 30) on the unit test. Use the given data to Quiz Score Test Score 6 8 10 9 10 20 26 29 26 30 a) Calculate the correlation coefficient. b) Perform a linear regression.

in multiple regression analysis, a residual is the difference between the value of a dependent variable and its corresponding independents variable value? True or false?

The mean age of children at the X College daycare center is 6. The ages are skewed in a negative direction by a large number of 3 and 4 year old students. The variance of ages is 5.1. At least 66% of the children will be between what two ages?

What would happen to the variance of test scores if an instructor multiplies each score by 2? a. It increases by 2 points b. it becomes four times as large c. It stays the same d. it will decrease

Explain what are the least-squares line and Regression?