Problem $3-14$

$1.$ A tourist center is open on weekends $($Friday$,$ Saturday, and Sunday$).$ The owner$-$manager hopes to improve scheduling of part$-$time employees by determining seasonal relatives for each of these days. Data on recent traffic at the center have been tabulated and are shown in the following table:

a$.$ Develop seasonal relatives for the shop using the centered moving average method. $($Round your intermediate calculations and final answers to $2$ decimal places.$)$

b$.$ Develop seasonal relatives for the shop using the SA method. $($Round your intermediate calculations and final answers to $4$ decimal places.$)$

$2.$

Problem $3-26$

The following data were collected during a study of consumer buying patterns:

b$.$ Obtain a linear regression line for the data.$($Round your intermediate calculations and final answers to $3$ decimal places.$)$

y$=$quad$+$quad x

c$.$ What percentage of the variation is explained by the regression line? $($Do not round intermediate calculations. Round your answer

to the nearest whole percent. Omit the $"\%"$ sign in your response.$)$

Approximately

$\%$ of the variation in the dependent variable is explained by the independent variable.

d$.$ Use the equation determined in part b to predict the expected value of y for x$=48.($Round your intermediate calculations and

final answers to $3$ decimal places.$)$

y$=$

$3.$ Problem $3-2$

National Scan, Inc., sells radio frequency inventory tags. Monthly sales for a seven$-$month period were as follows:

b$.$ Forecast September sales volume using each of the following:

$(1)$ A linear trend equation.$($Round your intermediate calculations and final answer to $2$ decimal places.$)$

Yt thousands

$(2)$ A five$-$month moving average. $($Round your answer to $2$ decimal places.$)$

Moving average thousands

$(3)$ Exponential smoothing with a smoothing constant equal to $15,$ assuming a March forecast of $\backslash (15(000)\backslash ).($Round your intermediate forecast values and final answer to $2$ decimal places$)$

Forecast thousands

$(4)$ The naive approach.

Naive approach

thousands

$(5)$ A weighted average using $\mathrm{.}60$ for August, $\mathrm{.}15$ for July, and $\mathrm{.}25$ for June. $($Round your answer to $2$ decimal places.$)$

Weighted average thousands