A regional retailer would like to determine if the variation in average monthly store sales can, in part, be explained by the size of the store measured in square feet. A random sample of 21 stores was selected and the store size and average monthly sales were computed. Complete parts a. and b. E Click the icon to view the data table between the store size and average monthly sales. a. Compute the simple linear regression model using the sample data. Let y be the average monthly store sales and x be the store size in square footage. (Round the y-intercept to the nearest whole number and the slope to two decimal places as needed.) Interpret the slope coefficient. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to two decimal places as needed.) O A. For each additional square foot of store size, the average increase in monthly sales is $ O B. For each additional dollar of monthly sales, the average increase in stores size is square feet. Interpret the intercept coefficient. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to two decimal places as needed.) O A. The size of a store with average monthly sales of $0 is square feet. O B. The average monthly sales of a store with 0 square feet is $ OC. A store with no floor space cannot occur, therefore, the y intercept does not have a meaningful interpretation. b. Based on the estimated regression model, what percentage of the total variation in average monthly sales can be explained by store size?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Please answer question parts a. & b. in the image. Part b. is slightly cut off this is what it says:
![A regional retailer would like to determine if the variation in average monthly store sales can, in part, be explained by the size of the store measured in square feet. A
random sample of 21 stores was selected and the store size and average monthly sales were computed. Complete parts a. and b.
Click the icon to view the data table between the store size and average monthly sales.
a. Compute the simple linear regression model using the sample data. Let y be the average monthly store sales and x be the store size in square footage.
y =D]
(Round the y-intercept to the nearest whole number and the slope to two decimal places as needed.)
主
Interpret the slope coefficient. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or decimal rounded to two decimal places as needed.)
O A. For each additional square foot of store size, the average increase in monthly sales is $
O B. For each additional dollar of monthly sales, the average increase in stores size is
square feet.
Interpret the intercept coefficient. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or decimal rounded to two decimal places as needed.)
O A. The size of a store with average monthly sales of $0 is
square feet.
O B. The average monthly sales of a store with 0 square feet is $
O C. A store with no floor space cannot occur, therefore, the y intercept does not have a meaningful interpretation.
b. Based on the estimated regression model, what percentage of the total variation in average monthly sales can be explained by store size?
10% (Tunn an intonor or dorimal roınded to ono docimal nlacn e nondnd](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08705b8f-f88d-4e09-a003-7080d63c1441%2F95a44a6a-da8c-4504-afa3-e8e9a228c8ef%2Ftor05nm_processed.jpeg&w=3840&q=75)
![Data Table of Store Size and Monthly Sales
Average Monthly Sales
S584.554.00
S539,533.00
S632,449.00
S571,571.00
$554,948.00
$689,105.00
S555,339.00
$581,108.00
$467,903.00
$519,015.00
S616,158.00
$466,370.00
S733,080.00
S500,323.00
S624,414.00
S597,807.00
S608,455.00
S613,506.00
$687 784.00
S718,362.00
$534,630.00
Store Size (Sq. Ft)
17,310
15,930
17,460
17,330
15,820
20.060
15,330
17,090
11,990
12,440
15,580
12,630
21.570
14,150
16,640
14,860
18,320
18,390
16,840
20,020
17,970](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08705b8f-f88d-4e09-a003-7080d63c1441%2F95a44a6a-da8c-4504-afa3-e8e9a228c8ef%2Fo6hbun8_processed.jpeg&w=3840&q=75)
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