Consider the following linear regression prediction equation: Y = 12 + 3X. If X = 7, what is the predicted value of Y for this observation?

Asaad and Cheryl are interested in identifying how Covid-19 has impacted college students' motivation to learn. They created a survey and decided to gather data by asking students, who attended a nearby college, to complete their survey. The survey contained one question which asked participants to rate how many times during the past year did they experience feelings of being less inspired, hopeless, or had thoughts of dropping out of school. They gather data from 100 students. The computations yielded a mean score of 6 with a standard deviation of 3. Using this information:

Compute the standard of the mean

Identify the upper and lower bound at a 68% confidence interval

Identify the upper and low bound at a 95% confidence interval

Identify the upper and low bound, for a two-tailed t-distribution, at 99% confidence interval