Question

Part A

Does the average IQ for residents of a state vary with the amount that the state spends on education? Seven of the 50 U.S. states were randomly selected. The amount that each spent per student (in thousands of dollars) and the average IQ for its residents were recorded. The data appear in the following table. Use Excel/Google sheets to produce a correlation box along with a scatterplot (no regression line necessary) on the data to calculate the correlation coefficient to determine whether IQ varies with state spending on education.

Table: Average IQ by State

State	Spending per Student	Average IQ
Maryland	7.25	97.20
Idaho	4.21	99.90
Florida	5.72	96.10
New Hampshire	5.86	101.00
New York	9.62	97.80
Texas	5.22	97.20
North Dakota	4.78	101.40

Part B

Research out of the Alameda County Human Population Laboratory has revealed a positive correlation between eating breakfast and longevity, such that those who eat breakfast tend to live longer. State three different hypotheses about the causal relationship creating this correlation, one for each possible causal relationship in the ABC model.

Answer 1

We will run the regressionanalysis here

There is a week relationship between  IQ for residents of a state & the amount that the state spends on education

as the correlation coefficient is 0.393<0.5

hypothesis that can be tested is

null hypothesis:

following hypothesis can be tested