Math 302 Week 7 Test (LATEST UPDATE )

Math 302 Week 7 Test Question 1 of 20 1.0/ 1.0 Points A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of $25 and another fee of $12.50 an hour. How much is it if you rent the SCUBA equipment for 45 minutes? • A. $25 • B. $37.5 • C. $35 • D. $34.38 Answer Key: D Feedback: The equation is Dollars = $12.5(hour) + $25 45 minutes = .75 of an hour Dollars = $12.5(.75) + $25 Question 2 of 20 1.0/ 1.0 Points During the 2008 Recession homeowners lost thousands of dollars on their homes. A linear equation that expressed this amount was Home Price = -10599(Year) As the Years increased how much did people lose on their homes each year? Round to a whole number. Do not use any commas or decimals. Answer: 10599 Answer Key: 10599|10,599|10,599.0|10599.0|10,599.00|10599.00 Feedback: The slope is -10,599. As the Year increases by 1, the price of your home will decrease by 10,599. The negative in the slope tells us this is a decrease. You don't include the negative but state that it is a decrease. Part 2 of 7 - Prediction 1.0/ 3.0 Points Question 3 of 20 1.0/ 1.0 Points The marketing manager of a large supermarket chain would like to use shelf space to predict the sales of pet food. For a random sample of 15 similar stores, she gathered the following information regarding the shelf space, in feet, devoted to pet food and the weekly sales in hundreds of dollars. . Store Shelf Weekly 15 25 2.5 Can it be concluded at a 0.01 level of significance that there is a linear correlation between the two variables? • A. yes, because the p-value = .00053 • B. yes, because the p-value = . • C. no, because the p-value = . • D. yes, because the p-value = .00053 Answer Key: B Feedback: Copy and paste the data into Excel. Then use the Data Analysis Toolpak and run a Regression. The y-variable is the Weekly Sales and the x-variable is the Shelf Space. You want to predict the dollar amount of the weekly sales. When you highlight and input these columns in the Regression Analysis make sure you include AND click on Labels and Click OK. Once you get the Regression output, look under the Significance F value for the correct p-value to use to make your decision. Yes, there is a significant relationship p-value = 0. Question 4 of 20 0.0/ 1.0 Points Click to see additional instructions The following data represent the weight of a child riding a bike and the rolling distance achieved after going down a hill without pedaling. Weight (lbs.) Rolling Distance (m.) 59 26 83 43 97 49 56 20 103 65 87 44 88 48 91 42 52 39 63 33 71 39 100 49 89 55 103 53 99 42 74 33 Find the 95% prediction interval for rolling distance when a child riding the bike weighs 106 lbs. (round to 4 decimal places) 39.3532 y 70.5698 Answer Key: 39.0847, 70.2972 Feedback: Copy and paste the data into Excel. Then use the Data Analysis Toolpak and run a Regression. The y-variable is the distance and the x-variable is the weight. How far the bike will travel will depend on the weight of the child. You want to predict the distance of the bike. Once you get the Regression output, look under the Coefficients to find the values to use for the regression equation. y = -0. + 0. (x) Plug 106 in for x and solve. y = -0. + 0. (106) y = 54., this is our y-hat value. This is the equation to use for the prediction interval T-Critical Value =T.INV.2T(.05, 14) = 2. The SE we get from the Regression output and you can use Excel to find the Average and SD of the Weight variable. LL =54. - 2.*6.* UL =54. + 2.*6.* Question 5 of 20 0.0/ 1.0 Points Click to see additional instructions The following data represent the weight of a child riding a bike and the rolling distance achieved after going down a hill without pedaling. Weight (lbs.) Rolling Distance (m.) 59 26 83 43 97 49 56 20 103 65 87 44 88 48 91 42 52 39 63 33 71 39 100 49 89 55 103 53 99 42 74 33 75 30 89 30 102 40 103 33 99 33 102 35 86 37 85 37 Find the 99% prediction interval for rolling distance when a child riding the bike weighs 99 lbs. (round to 4 decimal places) -17.08 y 37.752 Answer Key: 19.3556, 69.3966 Feedback: Copy and paste the data into Excel. Then use the Data Analysis Toolpak and run a Regression. The y-variable is the distance and the x-variable is the weight. How far the bike will travel will depend on the weight of the child. You want to predict the distance of the bike. Once you get the Regression output, look under the Coefficients to find the values to use for the regression equation. y = 10. + 0. (x)