Number of magazine ads 1 8 6 7 Part III. Magazine Ads The following data was collected in past years to try to determine how the number of Magazine ads affect candle sales. Plot the points and use technology to find the linear regression line that best fits the data. Graph the line of best fit along with the data points. You may either include a graph produced with technology or carefully graph the points and the line of best fit by hand below. 5 9 2 6 3 7 4 2 S Increase in candle sales 100 725 590 725 410 800 560 900 245 630 300 640 410 275 520 Increase in candle sales 0001 006 008 004 009 005 00 00 002 001 0 0 1 2 3 4 5 6 7 8 9 10 Number of Magazine Ads 1. Write the equation for the regression line. Round constants to the nearest whole number. 2. Does the linear model fit the data well? Explain. 3. Find the slope of the line. What does the slope tell you about how each Magazine ad affects sales? For every Magazine ad, candle sales increased by about_

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Part III. Magazine Ads
The following data was collected in past years to try to determine how the number of
Magazine ads affect candle sales. Plot the points and use technology to find the linear
regression line that best fits the data. Graph the line of best fit along with the data
points. You may either include a graph produced with technology or carefully graph the
points and the line of best fit by hand below.
Number
of
magazine
ads
1
8
6
7
4
8
5
9
2
6
3
7
4
2
5
Increase in
candle sales.
100
725
590
725
410
800
560
900
245
630
300
640
410
275
520
Increase in candle sales
0 100 200 300 400 500 600 700 800 900 1000
0
1
2
5
3 4
Number of Magazine Ads
6
2. Does the linear model fit the data well? Explain.
7
8 9
1. Write the equation for the regression line. Round constants to the
nearest whole number.
3. Find the slope of the line. What does the slope tell you about how
each Magazine ad affects sales? For every Magazine ad, candle sales
increased by about_
Part IV. We now have all of the information we need to solve the linear
programming problem.
1. Write an objective function for candle sales. (Hint: Think about how each TV ad
and each magazine ad affects sales.)
2. Substitute the coordinates of the corner points of the feasible region into the
objective function.
10
Transcribed Image Text:Part III. Magazine Ads The following data was collected in past years to try to determine how the number of Magazine ads affect candle sales. Plot the points and use technology to find the linear regression line that best fits the data. Graph the line of best fit along with the data points. You may either include a graph produced with technology or carefully graph the points and the line of best fit by hand below. Number of magazine ads 1 8 6 7 4 8 5 9 2 6 3 7 4 2 5 Increase in candle sales. 100 725 590 725 410 800 560 900 245 630 300 640 410 275 520 Increase in candle sales 0 100 200 300 400 500 600 700 800 900 1000 0 1 2 5 3 4 Number of Magazine Ads 6 2. Does the linear model fit the data well? Explain. 7 8 9 1. Write the equation for the regression line. Round constants to the nearest whole number. 3. Find the slope of the line. What does the slope tell you about how each Magazine ad affects sales? For every Magazine ad, candle sales increased by about_ Part IV. We now have all of the information we need to solve the linear programming problem. 1. Write an objective function for candle sales. (Hint: Think about how each TV ad and each magazine ad affects sales.) 2. Substitute the coordinates of the corner points of the feasible region into the objective function. 10
2. Substitute the coordinates of the corner points of the feasible region into the
objective function.
(x, y)
Corner Point
(Objective function)
f (x, y)
Total Sales
3. What are the maximum sales and at what corner point do they occur?
4. Knowing this information, how many TV and magazine ads should you buy in
order to maximize sales?
Transcribed Image Text:2. Substitute the coordinates of the corner points of the feasible region into the objective function. (x, y) Corner Point (Objective function) f (x, y) Total Sales 3. What are the maximum sales and at what corner point do they occur? 4. Knowing this information, how many TV and magazine ads should you buy in order to maximize sales?
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