MATH302 Week 7 Test

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Apr 3, 2024

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1/33 Week 7 Test - Results Attempt 1 of 2 Attempt Score 18 / 20 - 90 % Overall Grade (Highest Attempt) 18 / 20 - 90 % Question 1 1 / 1 point ___ 10599___ Hide ques±on 1 feedback Question 2 1 / 1 point 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: 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.

2/33 The least squares regression line for a data set is yˆ= -2.3−0.33x and the standard deviation of the residuals is 0.26. Does a case with the values x = -3.33, y = -1.27 qualify as an outlier? Hide ques±on 2 feedback Question 3 1 / 1 point 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. . Yes No Cannot be determined with the given information Plug in -3.33 for x. y = -2.3 -.33(-3.33) y = -1.2011 Residual is y-given - y-predicted. -1.27 - (-1.2011) -1.27 + 1.2011 = -.2011 -> this is the residual value. To see if it is an outlier take -2 and multiply it by .26 -2*.26 = -.52 -.2011 is greater than -.52, No, it is not an outlier because if it inside the range of the -2 to 2.

3/33 Store Shelf Space Weekly Sales 1 5 1.3 2 5 1.6 3 5 1.4 4 10 1.7 5 10 1.9 6 10 2.3 7 15 2.2 8 15 2 9 15 1.8 10 20 2.2 11 20 2.4 12 20 2.9 13 25 2.9 14 25 2.7 15 25 2.5 Find the 99% prediction interval for the Weekly Sales when the shelf space is 30. (round to 3 decimal places) 2.094 < y < 3.927

4/33 Hide ques±on 3 feedback 2.000 < y < 4.000 2.325 < y < 3.232 2.165 < y < 3.915 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 Coefficients value for the regression equation. y = 1.2 + 0.061333333 (x) Plug 30 in for x and solve. y = 1.2 + 0.061333333 (30) y = 3.04 -> this is y-hat This is the equation to use for the prediction interval T-Critical Value =T.INV.2T(.01, 13) = 3.012275839 The SE we get from the Regression output and you can use Excel to find the Average and SD of the Weight variable. LL = 3.04 - 3.012275839*0.248482574*

5/33 Question 4 1 / 1 point 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 UL = 3.04 + 3.012275839*0.248482574*

6/33 88 48 91 42 52 39 63 33 71 39 100 49 89 55 103 53 99 42 74 33 Using the regression line for this problem, the approximate rolling distance for a child on a bike that weighs 106 lbs. is: Hide ques±on 4 feedback 54.2378 58.7213 55.8742 54.9610 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

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