Answer:
The statement provided is TRUE.
Step-by-step explanation:
The four principle assumptions of the simple linear regression model are,
- The linearity of the relationship between the dependent variable and the independent variable. That is, value of <em>y, </em>the dependent variable for each value of <em>x</em> the independent variable is, .
- Normality of the error distribution. That is, . Thus, the variance of random error e is .
- Statistical independence of the errors or specifically no correlation between consecutive errors. That is, if , it implies that.
- Homoscedasticity of the errors, i.e. constant variance.
The first assumption clearly indicates that the <em>y</em>-values are statistically dependent upon the <em>x</em>-values.
Thus, the statement provided is TRUE.
Answer:
about 0.53
Step-by-step explanation:
54% of the insured, or .54×900 = 486 individuals are males. That leaves 900-486 = 414 that are females. 43% of those, or .43×414 = 178 are over 25, so the remainder of the 395 who are over 25 are male.
Since 395 -178 = 217 of the males are over 25, there are 486 -217 = 269 who are under 25. Then the fraction of insureds who are under 25 that are male is ...
269/(900 -395) = 269/505 ≈ 0.53
_____
It can be useful to make a 2-way table from the given information.
Step-by-step explanation:
The slope of 3 and -10.
If the slope is above 0, the line is increasing.
If the slope is at 0, it's a horizontal line or straight. Vertical If the run is 0.
If the slope is below 0, the line is decreasing.
3 is slanting upward, the slope is greater than 0 therefore the line is increasing.
-10 is slanting downward, the slope is less than 0 therefore the line is decreasing.