Data were collected that included information on the weight of the trash (in pounds) on the street one week and the number of people who live in the house. The figure shows a scatterplot with the regression line. Complete parts (a) through (d) below. * Click the icon to view the scatterplot and the regression line a. Is the trend positive or negative? What does that mean? does not tend to change tends to decrease. The trend is Positive As the number of people per household increases, the weight of trash V tends to increase. Negative b. Now calculate the correlation between the weight of trash and the number of people. (Use R-Sq from the figure and take the square root of it.) Scatterplot and regression line (Round to two decimal places as needed.) c. Report the slope. For each additional person in the house, there are, on average, how many additional pounds of trash? Predicted Trash = 6.063 + 9.84 People The slope is. For each additional person in the house, there are, on average,additional pounds of trash. (Type integers decimals. Do not round.) 100- 80 R-sq-61.2% d. Either interpret the intercept or explain why it is not appropriate to interpret it. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type integers or decimals. Do not round.) O A. The predicted weight of trash is times the number of people living in the household. People per Household O B. One would expect a household with person/people to generate pound(s) of trash. O C. For each additional pound of trash, there is/are, on average, additional person/people per household. O D. It is inappropriate to interpret the intercept because it does not make sense think of a household with person/people generating trash. Print Done

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Data were collected that included information on the weight of the trash​ (in pounds) on the street one week and the number of people who live in the house. The figure shows a scatterplot with the regression line. Complete parts​ (a) through​ (d) below.

Data were collected that included information on the weight of the trash (in pounds) on the street one week and the number of people who live in the house. The figure shows a scatterplot with the regression line. Complete parts (a) through (d) below.
Click the icon to view the scatterplot and the regression line
a. Is the trend positive or negative? What does that mean?
does not tend to change
tends to decrease.
Positive
Negative
The trend is
As the number of people per household increases, the weight of trash
tends to increase.
b. Now calculate the correlation between the weight of trash and the number of people. (Use R-Sq from the figure and take the square root of it.)
- X
r =
Scatterplot and regression line
(Round to two decimal places as needed.)
c. Report the slope. For each additional person in the house, there are, on average, how many additional pounds of trash?
Predicted Trash = 6.063 + 9.84 People
The slope is
For each additional person in the house, there are, on average,
additional pounds of trash. (Type integers or decimals. Do not round.)
100]
80-
R-sq = 61.2%
d. Either interpret the intercept or explain why it is not appropriate to interpret it. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Type integers or decimals. Do not round.)
60-
40-
20-
O A. The predicted weight of trash is
times the number of people living in the household.
3
People per Household
B. One would expect a household with
person/people to generate
pound(s) of trash.
O C. For each additional pound of trash, there is/are, on average,
additional person/people per household.
D. It is inappropriate to interpret the intercept because it does not make sense to think of a household with
person/people generating trash.
Print
Done
Trash (pounds)
Transcribed Image Text:Data were collected that included information on the weight of the trash (in pounds) on the street one week and the number of people who live in the house. The figure shows a scatterplot with the regression line. Complete parts (a) through (d) below. Click the icon to view the scatterplot and the regression line a. Is the trend positive or negative? What does that mean? does not tend to change tends to decrease. Positive Negative The trend is As the number of people per household increases, the weight of trash tends to increase. b. Now calculate the correlation between the weight of trash and the number of people. (Use R-Sq from the figure and take the square root of it.) - X r = Scatterplot and regression line (Round to two decimal places as needed.) c. Report the slope. For each additional person in the house, there are, on average, how many additional pounds of trash? Predicted Trash = 6.063 + 9.84 People The slope is For each additional person in the house, there are, on average, additional pounds of trash. (Type integers or decimals. Do not round.) 100] 80- R-sq = 61.2% d. Either interpret the intercept or explain why it is not appropriate to interpret it. Select the correct choice below and fill in the answer box(es) to complete your choice. (Type integers or decimals. Do not round.) 60- 40- 20- O A. The predicted weight of trash is times the number of people living in the household. 3 People per Household B. One would expect a household with person/people to generate pound(s) of trash. O C. For each additional pound of trash, there is/are, on average, additional person/people per household. D. It is inappropriate to interpret the intercept because it does not make sense to think of a household with person/people generating trash. Print Done Trash (pounds)
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Since you have posted a question with multiple sub-parts, we will solve the first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.

 

The linear regression line is essentially described as the linear approach which indicates the relationship between a dependent variable (i.e., "trash quantity" in this case) and an independent variable (i.e., "the number of people per house"). With a best-fitted trendline (or regression line), a rough estimate for the dependent variable can be made along the regression line.

 

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