2. (15 points) Additional workspace is provided on the next page. Students in a science class have just received their grades on the first test. The instructor has provided information about the first test grades in some previous classes as well as the final average for the same students. Some of these grades have been sampled and are as follows: Student 1 2 3 4 5 6 7 8 9 1st Test Grade 98 77 88 80 96 61 66 95 69 Final Average 93 78 84 73 84 64 64 95 76 You are also provided the results from several different linear regression relationships for the above data. These provide different regression relationships looking at different combination of independent and dependent variables. a) Provide the linear regression equation that can be used to predict the final course average based on the first test grade. b) Predict the final average of a student who made an 83 on the first test. c) Would you recommend using this relationship for forecasting the final averages

The diagram shows a 7cm by 6cm rectangle based pyramid. all the diagonal sides - ta, tb, tc and td are length 10cm. m is midpoint of rectangular base. work out height mt to 1 decimal place

Rose drew a regression line for this paired data set. her line passed through (1, 2) and (3, 5) . what is the equation of rose's regression line?

(20 points) a bank has been receiving complaints from real estate agents that their customers have been waiting too long for mortgage confirmations. the bank prides itself on its mortgage application process and decides to investigate the claims. the bank manager takes a random sample of 20 customers whose mortgage applications have been processed in the last 6 months and finds the following wait times (in days): 5, 7, 22, 4, 12, 9, 9, 14, 3, 6, 5, 15, 10, 17, 12, 10, 9, 4, 10, 13 assume that the random variable x measures the number of days a customer waits for mortgage processing at this bank, and assume that x is normally distributed. 2a. find the sample mean of this data (x ě…). 2b. find the sample variance of x. find the variance of x ě…. for (c), (d), and (e), use the appropriate t-distribution 2c. find the 90% confidence interval for the population mean (îľ). 2d. test the hypothesis that îľ is equal to 7 at the 95% confidence level. (should you do a one-tailed or two-tailed test here? ) 2e. what is the approximate p-value of this hypothesis?