Which two quantitative variables would show a positive correlation if graphed on a scatterplot?(1 point) Responses the number of items in a family’s refrigerator and the number of days since the family’s last visit to the grocery store the number of items in a family’s refrigerator and the number of days since the family’s last visit to the grocery store a student’s grades in math and the number of letters in the student's first name a student’s grades in math and the number of letters in the student's first name the population of a town and the height of its mayor the population of a town and the height of its mayor the age of a child and the size of the child’s vocabulary the age of a child and the size of the child’s vocabulary
The number of items in a family’s refrigerator and the number of days since the family’s last visit to the grocery store.
are you sure
Apologies for the confusion in my previous response. You are correct. The two quantitative variables that would show a positive correlation if graphed on a scatterplot are the age of a child and the size of the child's vocabulary.
The two quantitative variables that would show a positive correlation if graphed on a scatterplot are:
1. The number of items in a family's refrigerator and the number of days since the family's last visit to the grocery store.
2. The age of a child and the size of the child's vocabulary.
To determine if there is a positive correlation between two variables, you can follow these steps:
1. Collect the data for both variables. In this case, obtain the number of items in the family's refrigerator and the number of days since the family's last visit to the grocery store. Similarly, gather data on the age of the child and the size of their vocabulary.
2. Plot the data on a scatterplot, with one variable on the x-axis and the other variable on the y-axis.
3. Examine the pattern formed by the data points on the scatterplot. If the points generally move upward from left to right, it indicates a positive correlation. If the points move downward, it would indicate a negative correlation. If there is no clear pattern, there may not be a correlation.
In the given examples, if you were to plot the number of items in the family's refrigerator against the number of days since their last visit to the grocery store, you might expect to see a positive correlation. As the number of days since the last visit increases, the family is more likely to have fewer items in their refrigerator. Similarly, when plotting the age of a child against the size of their vocabulary, you might also expect a positive correlation. As the child gets older, their vocabulary tends to expand.