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A new pizza restaurant uses paid advertisement to increase pizza sales on Mondays. The table below is a record of the restaurant’s sales each Monday for the first quarter (13 weeks) of the paid advertisement.

Part A: Create a scatter plot to represent the data in the table. Then, draw the line of best fit, going through the points representing weeks 5 and 13. Be sure to label each axis, as well as to include the proper titles for the scatter plot.
Part B: Use the total sales for weeks 5 and 13 to write an equation for the line of best fit. In your final answer, include all of your calculations.
Part C: In terms of the slope of the equation for the lines of best, fit explain whether or not you think the paid advertisement is responsible for the restaurant's increase or decrease in pizza sales during the first quarter. Use complete senteneces in your answer.
Part D: Assuming that the pizza restaurant wishes to continue the paid advertisement for an additional quater, use the equation for the line of best fit to predict the restaurant's sales for the Monday of the 20th week.

Sagot :

Lanuel
  1. An equation for the line of best fit is given by y = 22.214x + 291.27.
  2. The paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter because the slope of the equation for the line of best fit is positive.
  3. The restaurant's sales for the Monday of the 20th week is $735.55.

What is a scatter plot?

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

What is a line of best fit?

A line of best fit is also referred to as a trendline and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any correlation between a data.

Part B.

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that an equation for the line of best fit is given by:

y = 22.214x + 291.27

Part C.

Since the slope of the equation for the line of best fit is positive, the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

Part D.

Next, we would predict the restaurant's sales for the Monday of the 20th week as follows:

y = 22.214x + 291.27

y = 22.214(20) + 291.27

y = 444.28 + 291.27

y = $735.55.

Read more on scatterplot here: brainly.com/question/6592115

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View image Lanuel
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