The data set shows the number of practice free throws players in a basketball competition made and the number of free throws they made in a timed competition.Practice throws 312 614 2 710 8Free throws 10 22 9 35 4 11 28 20A. Use technology to find the equation AND coefficient of determination for each type of regression model. Use the number of practice throws for the input variable and the number of free throws for the output variable. Round all decimal values to three places. Equation of regression modelCoefficient of determinationLinear model Quadratic model Exponential model B. EXPLAIN, using the information you found above, which model best fits the data set. How did you come to your conclusion?Note: write exponents like this x^2 if you need to.
Answers
Let
x -----> number of practice throws
y -----> the number of free throws
Part A
Linear Model
Using a Linear Regression Calculator
we have
ŷ = 2.352X - 0.852
see the attached figure
Remember that
With linear regression, the coefficient of determination is equal to the square of the correlation between the x and y variables
the coefficient r=0.919
Quadratic model
Using a Quadratic regression Calculator
we have
y=0.073x^2+1.205x+2.555
correlation coefficient r=0.925 ------> strong correlation
see the attached figure
Exponential model
Using an Exponential Regression Calculator
we have
y=4.229(1.17)^x
Correlation:r=0.913
see the attached figure
Part B
The model that best fits the data is the Quadratic model because its value of r is greater than the linear model and greater than the exponential model
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If A= B and AB= 3x-5 BC= 5x-6 and AC = 2x-9 find the value of X
Please help me im stuck
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help please right now
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Answer:
Step-by-step explanation:
on no
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Answer: C ( yes, both lines have a slope of 2/3. )
Step-by-step explanation:
Answer: C
Step-by-step explanation:
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71,491 + 19,326 = 90,817 points.
So Leah scored a total of 90,817 points.
(B) The population proportion of adults who watch 15 or fewer hours of television per week is 0.30.
(C) The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.
(D) The population mean number of hours adults spend watching television per week is 15.
(E) The population mean number of hours adults spend watching television per week is less than 15.
Answers
The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.
Given that,
A social scientist believed that less than 30 percent of adults in the United States watch 15 or fewer hours of television per week.
The scientist randomly selected 1,250 adults in the United States. The sample proportion of adults who watch 15 or fewer hours of television per week was 0.28,
And the resulting hypothesis test had a p-value of 0.061.
We have to determine,
The computation of the p- value assumes which of the following is true.
According to the question,
Let, The proportion of adults watching televisionless than or equal to 15% be = x
Null Hypothesis [H0] : x = 30% = 0.30
Alternate Hypothesis [H1] : x < 30% , or x < 0.30
P value is calculated at z value :
Where p' = 0.28, = 0.30,
= 0.70 ;
Then,
Assuming 10% level of significance, p = 0.10
Therefore, p value 0.061 < 0.10, reject H0 & accept H1. This implies that we conclude that 'x i.e. proportion of adults watching television less than or equal to 15% < 30% or 0.30'
Hence, The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30.
To know more about Sample proportion click the link given below.
Answer:
(C) The population proportion of adults who watch 15 or fewer hours of television per week is less than 0.30
Step-by-step explanation:
Let the proportion of adults watching television less than or equal to 15% be = x
- Null Hypothesis [H0] : x = 30% = 0.30
- Alternate Hypothesis [H1] : x < 30% , or x < 0.30
P value is calculated at z value : p' - [ √ { p0 (1- p0) } / n ] ;
where p' = 0.28, p0 = 0.30, p1 = 0.70 ; ∴ p ( z < -1.543) = 0.061
Assuming 10% level of significance, p = 0.10
As p value 0.061 < 0.10, we reject H0 & accept H1. This implies that we conclude that 'x ie proportion of adults watching television less than or equal to 15% < 30% or 0.30'
Answers
Look at the millions place. 1 is in the millions place.
Now look at the number to the right of 1.
Since it is 5 or greater, round 1 up to 2.
Change all the numbers after 1 to 0.
1,563,385 rounded to the nearest million is 2,000,000.