(a)
To describe what this graph tells you about the relationship between these two variables.
(a)
Explanation of Solution
In the question the researcher examined does how long young children remain at the lunch table help predict how much they eat. Thus, the
Direction: Negative, because the scatterplot slopes downwards
Form: Linear, because the points seems to roughly lie about a line.
Strength: Moderate, because the points do not lie far apart, but not close together either.
Thus, the scatterplot suggest a moderate negative linear relationship between the variables.
(b)
To find out what is the equation of the least square regression line for predicting calories consumed from the time at the table.
(b)
Answer to Problem 14E
Explanation of Solution
Now, in the question the researcher examined does how long young children remain at the lunch table help predict how much they eat. and the computer output of this data is given. And also as we know the general regression equation be as:
And the estimate a and b are given in the column of the computer output “Coef”:
with
(c)
To interpret the slope of the regression line in this context and explain does it make sense to interpret the y -intercept in this case, why or why not.
(c)
Answer to Problem 14E
No, it does not make sense to interpret the y -intercept in this case.
Explanation of Solution
Now, as we know that in the question the researcher examined does how long young children remain at the lunch table help predict how much they eat. and the computer output of this data is given. And also as we know the general regression equation be as:
And the estimate a and b are given in the column of the computer output “Coef”:
with
Thus, the slope b is the coefficient of x and is thus
And the y -intercept a is the constant of the regression equation and in thus
(d)
To explain do these data provide convincing evidence of a negative linear relationship between time at the table and calories consumed in the population of toddlers and carry out an appropriate test at the
(d)
Answer to Problem 14E
Yes, there is sufficient evidence to support the claim of a negative linear relationship between time at the table and calories consumed in the population of toddlers.
Explanation of Solution
It is given in the computer output that:
Thus, we define the hypothesis by:
Thus, the value of the test statistics is as:
And the degrees of freedom is:
Thus, the P-value is as:
As we know that if the P-value is less than or equal to the significance level, then the null hypothesis is rejected as:
Thus, we conclude that there is sufficient evidence to support the claim of a negative linear relationship between time at the table and calories consumed in the population of toddlers.
Chapter 12 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Statistics: The Art and Science of Learning from Data (4th Edition)
Basic Business Statistics, Student Value Edition
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