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Exam (elaborations)

Test Bank Solution Manual for MATH302 Latest Update 2024

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Test Bank Solution Manual for MATH302 Latest Update 2024 Which of the following equations are linear? - Answers 4y=8 A linear equation is a linear line. If a problem has a squared or a cubed term, it isn't linear. It is a quadratic equation. 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. What is the independent variable? - Answers Time. The equation is Dollars = $12.5(hour) + $25 Dollars depends on how many hours you use the equipment for. Dollars is the dependent variable and time (in hours) is the independent variable. You move out into the country and you notice every Spring there are more and more Deer Fawns that appear. You decide to try and predict how many Fawns there will be for the up coming Spring. You collect data to, to help estimate Fawn Count for the upcoming Spring season. You collect data on over the past 10 years. x1 = Adult Deer Count x2 = Annual Rain in Inches x3 = Winter Severity Where Winter Severity Index:1 = Warm2 = Mild3 = Cold4 = Freeze5 = Severe Estimate Fawn Count when Adult Deer Count = 10, Annual Rain = 13.5 and Winter Severity = 4 See Attached Excel for Data. - Answers 3.85 You can run a Multiple Linear Regression Analysis using the Data Analysis ToolPak in Excel. Data -> Data Analysis -> Scroll to Regression Highlight Fawn Count for the Y Input: Highlight columns Adult Count to Winter Severity for the X Input: Make sure you click on Labels and Click OK If done correctly then you look under the Coefficients for the values to write out the Regression Equation CoefficientsIntercept-5.Adult Count0.Annual Rain in Inches0.Winter Severity0. Fawn Count = -5.5591 + 0.3071(Adult Count) + 0.3978(Annual Rain) + 0.2493(Winter Severity) Plug in, Adult Deer Count = 10, Annual Rain = 13.5 and Winter Severity = 4 Fawn Count = -5.5591 + 0.3071(10) + 0.3978(13.5) + 0.2493(4) You are thinking about opening up a Starbucks in your area but what to know if it is a good investment. How much money do Starbucks actually make in a year? You collect data to, to help estimate Annual Net Sales, in thousands, of dollars to know how much money you will be making. You collect data on 27 stores to help make your decision. x1 = Rent in Thousand per month x2 = Amount spent on Inventory in Thousand per month x3 = Amount spent on Advertising in Thousand per month x4 = Sales in Thousand per month x5= How many Competitors stores are in the Area Approximately what percentage of the variation in Annual Net Sales is accounted for by these 5 variables in this model? See Attached Excel for Data. - Answers 98.24% of variation in the Annual Net Sales is accounted for by Rent, Inventory, Advertising, Sales per Month and # of Competitor store in this model. With Obesity on the rise, a Doctor wants to see if there is a linear relationship between the Age and Weight and estimating a person's Systolic Blood Pressure. Is there a significant linear relationship between Age and Weight and a person's Systolic Blood Pressure? If so, what is/are the significant predictor(s) for Systolic Blood Pressure? - Answers Yes, Age, p-value = 0. < .05, Yes, Age is a significant predictor for Systolic BP Weight, p-value = 0. < .05, Yes Weight is a significant predictor for Systolic BP You are thinking about opening up a Starbucks in your area but what to know if it is a good investment. How much money do Starbucks actually make in a year? You collect data to, to help estimate Annual Net Sales, in thousands, of dollars to know how much money you will be making. You collect data on 27 stores to help make your decision. x1 = Rent in Thousand per month x2 = Amount spent on Inventory in Thousand per month x3 = Amount spent on Advertising in Thousand per month x4 = Sales in Thousand per month x5= How many Competitors stores are in the Area Find the estimated regression equation which can be used to estimate Annual Net Sales when using these 5 variables are predictor variables. See Attached Excel for Data. - Answers Annual Net Sales = -49.0449 + 15.1571(Rent) + 0.1744(Inventory) + 12.1779(Advertising) + 14.2972(Sales) - 2.9766(Competitor) An object is thrown from the top of a building. The following data measure the height of the object from the ground for a five second period. There is a statistically significant correlation between time and height, r = -0.942, p-value = 0.0000454. Should linear regression be used for this data? Why or why not? Answer: - Answers No, there is a curve in the residual plot, normal plot and the scatterplot. In the context of regression analysis, what is the definition of an outlier? - Answers Observed data points that are far from the least squares line

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Test Bank Solution Manual for MATH302 Latest Update 2024



Which of the following equations are linear? - Answers 4y=8



A linear equation is a linear line. If a problem has a squared or a cubed term, it isn't linear. It is a
quadratic equation.

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. What is the independent variable? - Answers Time.



The equation is

Dollars = $12.5(hour) + $25

Dollars depends on how many hours you use the equipment for.

Dollars is the dependent variable and time (in hours) is the independent variable.

You move out into the country and you notice every Spring there are more and more Deer Fawns that
appear. You decide to try and predict how many Fawns there will be for the up coming Spring.

You collect data to, to help estimate Fawn Count for the upcoming Spring season. You collect data on
over the past 10 years.

x1 = Adult Deer Count

x2 = Annual Rain in Inches

x3 = Winter Severity

Where Winter Severity Index:1 = Warm2 = Mild3 = Cold4 = Freeze5 = Severe

Estimate Fawn Count when Adult Deer Count = 10, Annual Rain = 13.5 and Winter Severity = 4

See Attached Excel for Data. - Answers 3.85



You can run a Multiple Linear Regression Analysis using the Data Analysis ToolPak in Excel.

Data -> Data Analysis -> Scroll to Regression

Highlight Fawn Count for the Y Input:

, Highlight columns Adult Count to Winter Severity for the X Input:

Make sure you click on Labels and Click OK

If done correctly then you look under the Coefficients for the values to write out the Regression
Equation

CoefficientsIntercept-5.559106707Adult Count0.303715877Annual Rain in Inches0.397827379Winter
Severity0.249286765

Fawn Count = -5.5591 + 0.3071(Adult Count) + 0.3978(Annual Rain) + 0.2493(Winter Severity)

Plug in, Adult Deer Count = 10, Annual Rain = 13.5 and Winter Severity = 4

Fawn Count = -5.5591 + 0.3071(10) + 0.3978(13.5) + 0.2493(4)

You are thinking about opening up a Starbucks in your area but what to know if it is a good investment.
How much money do Starbucks actually make in a year? You collect data to, to help estimate Annual Net
Sales, in thousands, of dollars to know how much money you will be making.

You collect data on 27 stores to help make your decision.

x1 = Rent in Thousand per month

x2 = Amount spent on Inventory in Thousand per month

x3 = Amount spent on Advertising in Thousand per month

x4 = Sales in Thousand per month

x5= How many Competitors stores are in the Area

Approximately what percentage of the variation in Annual Net Sales is accounted for by these 5
variables in this model?

See Attached Excel for Data. - Answers 98.24% of variation in the Annual Net Sales is accounted for by
Rent, Inventory, Advertising, Sales per Month and # of Competitor store in this model.

With Obesity on the rise, a Doctor wants to see if there is a linear relationship between the Age and
Weight and estimating a person's Systolic Blood Pressure. Is there a significant linear relationship
between Age and Weight and a person's Systolic Blood Pressure?

If so, what is/are the significant predictor(s) for Systolic Blood Pressure? - Answers Yes,



Age, p-value = 0.001303023 < .05, Yes, Age is a significant predictor for Systolic BP

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