散点图・拟合模型与残差

The scatterplot shows the relationship between x and y for the 9 data points in data set A.

A quadratic model for the data in data set A can be written as \( y=0.04x^2-0.07x+6.52 \). The graph of this model is shown in the xy-plane. The data point at \( x=0 \) was found to be the result of a recording error and was removed from data set A to create data set B, consisting of the remaining 8 data points. A quadratic model for the data in data set B can be written as \( y=ax^2+bx+c \), where a, b, and c are constants. If the quadratic models for data sets A and B are calculated in the same way, which of the following statements must be true?
I. \( a>0.04 \) 
II. \( c<6.52 \) 

The scatterplot shows the relationship between two variables x and y.

Which of the following equations is the most appropriate linear model for the data shown?

The scatterplot shows the relationship between x and y for the 9 data points in data set A.

A quadratic model for the data in data set A can be written as \( y=0.04x^2-0.06x+6.57 \). The graph of this model is shown in the xy-plane. The data point at \( x=0 \) was found to be the result of a recording error and was removed from data set A to create data set B, consisting of the remaining 8 data points. A quadratic model for the data in data set B can be written as \( y=ax^2+bx+c \), where a, b, and c are constants. If the quadratic models for data sets A and B are calculated in the same way, which of the following statements must be true?
I. \( a>0.04 \) 
II. \( c<6.57 \) 

A group of 10 gardeners recorded data on the germination rates of their tomato crop for one growing season. The scatterplot shows the relationship between the number of tomato seeds planted, x, and the number of tomato seeds that germinated, y for each of the gardeners. A line of best fit is also shown.
Which of the following is the best interpretation of the slope of the line of best fit in this context?

The scatterplot shows the relationship between the square footage of 12 clothing stores and their annual sales, in millions of dollars. According to the trend shown by the data, which of the following is the best prediction for the annual sales, in millions of dollars, of a clothing store that is 4 thousand square feet?

A group of gardeners recorded data on the germination rates of their tomato crop for one growing season. The scatterplot shows the relationship between the number of tomato seeds planted, x, and the number of tomato seeds that germinated, y, for each of the gardeners. A line of best fit is also shown.

Which of the following is the best interpretation of the slope of the line of best fit in this context?

The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown.

At \( x=5 \), how many units greater is the y-value predicted by the line of best fit than the actual y-value of the data point?

The scatterplot shows the relationship between two variables, x and y.

Which of the following equations is the most appropriate linear model for the data shown?

The scatterplot shows the relationship between two variables, x and y.

Which of the following equations is the most appropriate linear model for the data shown?

The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown.

For how many of the 9 data points is the actual y-value greater than the y-value predicted by the line of best fit?

The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown.

For how many of the 9 data points is the actual y-value greater than the y-value predicted by the line of best fit?

In the scatterplot, a line of best fit for the data is shown.

Which of the following equations best represents this line of best fit?