A midterm exam in Applied Mathematics consists of problems in 8 topical areas. One of the teachers believes that the most important of these is the section on problem solving. She analyzes the scores of 36 randomly chosen students using computer software and produces the following print-out relating the total score to the problemsolving subscore, ProbSolv: Predictor Coeff StDev T P
Constant 12.960 6.228 2.08 0.045
ProbSolv 4.0162 0.5393 7.45 0.000
S = 11.09 R-Sq = 62.0% R-Sq(adj) = 60.9%
(a) What is the predicted Total Score is the ProbSolve scores was 20?
(b) What is the residual for the data point (10, 55)?
(c) Calculate the 95% confidence interval of the slope of the regression line for all Applied Mathematics students.
(d) Use the information provided to test whether there is a significant relationship between the problem solving subsection and the total score at the 5% level.
(e) Are the decisions reached through the construction of the confidence interval and through the use of a significance test consistent. Explain.

You and three friends will be going out to eat at your favorite restaurant! each of you will order three items of your choice. you will also need to leave a tip. if you split the bill evenly among all four of you, how much will each person need to contribute? locate a menu for your favorite restaurant and pick three items for yourself and each friend. list the restaurant name, items, and prices in a table like the one below. in the column labeled subtotal, determine the cost of each person’s order. the customary tip is 20% of the total bill. in the column labeled tip, calculate the amount of tip each person should leave. in the column labeled total bill, determine the total of each person’s order, including the tip. restaurant name: names item 1 price item 2 price item 3 price subtotal tip total bill your name friend #1 friend #2 friend #3 part 2: questions answer the following questions, showing all work: what is the total cost of the entire bill (all four meals), including tip? write an expression using fractions to show how to determine the amount that each person will pay. then calculate each person's contributions showing all steps in long division. if each person paid an equal amount, who would save the most money? explain your reasoning using at least two complete sentences.

Louise measured the perimeter of her rectangular scrapbook to be 154 cm. if the scrapbook is 45 cm wide, how long is the scrapbook?

Rena is building a 1: 180 scale model of a real castle. her model has a rectangular base that is 3 feet wide and 4 feet long what is the area of the base of the actual castle in square feet