Answer:
Step-by-step explanation:
Hello!
The objective of this exercise is to test if the Y: "number of car deaths in one month" is affected by the variable X: "seat belt law"
The linear regression was estimated:
Coefficients: Estimate Std. Error t value Pr(> | t |)
(Intercept) 125.870 1.849 68.082 < 2e-16 *
Seatbelts -25.609 5.342 -4.794 3.29e-06 *
R-squared = 0.11
Then the estimated model is:
Yi= 125.870 - 25609Xi
a. Did the seat belt law make a difference?
Yes.
If the hypothesis is that the seat belt law reduces the number of car deaths:
H₀: β ≥ 0
H₁: β < 0
With α: 0.05
The p-value for the test is: 3.29e-06
The p-value is less than the significance level, the seat belt law modifies the average number of car deaths.
b. Is there a need to add more variables to the model?
Yes. According to the given model, the independent variable isn't good enough to explain the variability of the dependent variable, i.e. most of the variability of the dependent variable is given by the errors.
The investigator needs to add new variables or change the model to determine one that is a better predictor of the dependent variable.
c. How would you justify your answer with numbers?
To see if the independent variable is a good predictor of the dependent variable you have to look at the coefficient of determination. This coefficient gives you an idea of how much of the variability of the dependent variable is explained by the independent variable under the estimated model.
The value of R²= 0.11 or 11% means that only 11% of the variability of the number of car deaths is due to the seat belt law.
It looks like the variable "seat belt law" isn't a good regressor.
d. What possible independent/predictor variables could you add to this model?
X: "increasing of traffic controls"
X: "decreasing the speed limits"
X: "opening road safety courses in the communities"
I hope it helps!
Equation B: 3x + 2z = 1
Which of the following is a possible step used in eliminating the z-term?
Multiply equation A by −2.
Multiply equation B by 2.
Multiply equation A by 3.
Multiply equation B by 3.
Answer:Multiply equation A by -2 is correct everyone
Step-by-step explanation:
I just took the test and checked;)
To calculate the cost per patient over the four-year period, we need to add up the costs for each year and then divide by the number of years.
The costs per patient for the four years are:
Year 1: $43
Year 2: $46.5
Year 3: $49.8
Year 4: $53.63
To find the total cost over the four years, we add up these costs:
$43 + $46.5 + $49.8 + $53.63 = $193.93
Now, we divide the total cost by the number of years (which is 4) to find the average cost per patient over the four-year period:
$193.93 / 4 = $48.48
Therefore, the cost per patient over the four-year period is approximately $48.48.
The cost per patient over the four-year period is $193.16.
To find the cost per patient over the four-year period, we need to calculate the percent increase for each year and then multiply the percent increase by the previous year's cost. Here are the steps:
Therefore, the cost per patient over the four-year period is $193.16.
#SPJ2
into how many pieces was the cake cut?
1
11
A. 1
B. 10
C. 21
O D. 11
TO
Complete Question
The complete question is shown on the first uploaded image
Answer:
Based on the result of his test , Thomas should fail to reject null hypothesis at a significance level of 0.01. Thomas sufficient evidence to conclude that the proportion of households without children in the set of all future samples reached by phone is not equal to the proportion of households without children in the population of all households.
Step-by-step explanation:
From the question we see that the p-value is greater than the level of significance (0.01 )so we fail to reject the null hypothesis.
This means that Thomas has sufficient evidence to conclude that the proportion of households without children in the set of all future samples reached by phone is not equal to the proportion of households without children in the population of all households.
B) The h(x) values -4,-2,2,4, and 6
C) The h(x) values -5,-4,0,2, and 4
D) -4≤h(x)≤6
Answer:
C
Step-by-step explanation: