Check all of the statements that are true. (hint: there are 3!)
a
The y-intercept of the line of best fit would be around 45.
b
The slope of the line of best fit could be around - 1/2000
c
As a person's income goes up, their happiness trends down.
d
This is a moderate positive correlation
e
The line of best fit must pass through at least 2 points on the scatter plot
f
The line of best fit should have the same number of points above and below it
g
There is no correlation between happiness and income.
h
The line of best fit would have a positive slope.
The statements that are true are:
b. The slope of the line of best fit could be around - 1/2000
f. The line of best fit should have the same number of points above and below it
g. There is no correlation between happiness and income.
b, d, h
Statements b, c, and g are true.
b) The slope of the line of best fit could be around -1/2000.
c) As a person's income goes up, their happiness trends down.
g) There is no correlation between happiness and income.
Statements a, d, e, f, and h are not true.
a) The y-intercept of the line of best fit would be around 45 - Not enough information is given to determine the y-intercept.
d) This is a moderate positive correlation - The correlation is negative, not positive.
e) The line of best fit must pass through at least 2 points on the scatter plot - The line of best fit may not necessarily pass through any points.
f) The line of best fit should have the same number of points above and below it - The line of best fit does not have to have an equal number of points above and below it.
h) The line of best fit would have a positive slope - The slope is negative, not positive.
To determine which of the statements are true, let's analyze each statement.
a) The y-intercept of the line of best fit would be around 45.
To determine the y-intercept of the line of best fit, we need the scatter plot or data set. Without the data, we cannot determine if this statement is true or false.
b) The slope of the line of best fit could be around -1/2000.
Similar to statement a, without the actual data, we cannot determine the slope of the line of best fit. Therefore, we cannot verify the accuracy of this statement.
c) As a person's income goes up, their happiness trends down.
This statement suggests an inverse relationship between income and happiness. Without the specific data or context of the question, we cannot determine if this statement is true or false.
d) This is a moderate positive correlation.
To assess the correlation between variables, such as income and happiness, we would need the actual data or scatter plot. Without the data, we cannot determine if this statement is true or false.
e) The line of best fit must pass through at least 2 points on the scatter plot.
This statement is true. The line of best fit is a representation of the overall trend in the data points and should pass through at least two points on the scatter plot.
f) The line of best fit should have the same number of points above and below it.
This statement is not always true. The line of best fit represents the overall trend of the data, and the number of points above and below the line may differ. It depends on the specific distribution and pattern of the data.
g) There is no correlation between happiness and income.
Without the data or specific context, we cannot determine if this statement is true or false. The existence and nature of the correlation between happiness and income will depend on the specific data set or scenario.
h) The line of best fit would have a positive slope.
Without the data, we are unable to determine the slope of the line of best fit. Thus, we cannot determine if this statement is true or false.
Based on the explanations provided, the true statements are:
- e) The line of best fit must pass through at least 2 points on the scatter plot.