Is the slope of the savings equivalent to the size of the multiplier
No, the slope of the savings function is not equivalent to the size of the multiplier. The slope of the savings function measures how much savings change in response to a change in income, while the multiplier measures the overall effect on the economy of a change in spending.
To find the slope of the savings function, you need to calculate the change in savings divided by the change in income. This can be done by looking at the data on savings and income for different levels and calculating the slope of the line connecting these points.
On the other hand, the multiplier measures the impact of changes in spending on overall output and income in an economy. It indicates how much the aggregate demand in an economy will change in response to an initial change in spending. The multiplier is calculated as 1/(1 - marginal propensity to consume), where the marginal propensity to consume is the fraction of each additional dollar of income that is spent.
To summarize, the slope of the savings function measures the responsiveness of savings to changes in income, while the multiplier measures the overall effect of changes in spending on the economy. They are related concepts but they measure different aspects of the relationship between income, spending, and savings in an economy.