Answer:
The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between x and y
Step-by-step explanation:
- The purpose of testing whether β1 = 0 is to determine whether or not the mean of the x values is equal to the mean of the y values.
No, since we are not interested if the mean for the two variables x and y are equal, we want to know if we have relationship between the two variables.
- The purpose of testing whether β1 = 0 is to determine whether or not the regression line provides a good fit for the data
No, if we want to test if the regression line provides a good fit for the data we need to use a Chi square test or other type of test.
- The purpose of testing whether β1 = 0 is to determine whether or not there is a significant relationship between x and y
Yes, the idea when we have this system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
Is see if we have a significant relationship between x and y, that means that the slope is not equal to 0.
- The purpose of testing whether β1 = 0 is to determine whether or not there is a cause-and-effect relationship between x and y.
No, when we conduct a regression we never can conclude that we have a cause-relation effect, that's not the goal when we conduct this, the idea is check if we have a type of relationship that can be linear, quadratic or other type of relationship betwen some variables.
Answer: The equation in slope-intercept form: 
Step-by-step explanation:
The given equation of a line : 
The equation of a line in slope -intercept form: y=mx+c, where m= slope , c=y-intercept.
We first use distributive property(a(b+c)=ab+ac) to simplify the given equation, we get

Subtract 3 from both sides, we get

Hence, the equation in slope-intercept form: 
Answer:
23 degrees
Step-by-step explanation:
First, subtract 9 from 29 to find the temperature at 9 A.M. The temperature at 9 A.M. was 20 degrees. The temperature from 5 A.M. doubled to get to the temperature at 9 A.M., so divide 20 by 2. The temperature at 5 A.M. was 10 degrees. The temperature from midnight to 5 A.M. fell 13 degrees, so add 13 to get the temperature at midnight. 13+10=23. It was 23 degrees at midnight.