The following data reflect the budgets of seven recent movie…

The following data reflect the budgets of seven recent movies along with their gross receipts (both in millions of dollars).  Budget x, in millions 62 90 50 35 200 100 100 Gross y, in millions 68 64 48 62 300 146 100 a) What is the correlation coefficient r?  Round to three decimal places. b) Find the equation, , of the regression line for the given data.   Write the values of a and b to three decimal places.     c) Using the regression equation, , find the predicted gross receipts for a movie with a budget of $100 million.  Give the answer to one decimal place.  

In a random sample of 20 people, the mean commute time to wo…

In a random sample of 20 people, the mean commute time to work was 15.5 minutes with a standard deviation of 2.2 minutes.  Based on this information, construct a 95% confidence interval for the mean commute time to work, if the commute times are considered to come from a normally distributed population.  Give your final answers rounded to two decimal places, no spaces, and in (lower,upper) format.