Complete question :
The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is ý = -0.36x + 94.5.
Video Games (Minutes) Time with Family (Minutes)
40 80
55 75
70 69
85 64
A) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 36 minutes playing video games is 81.54.
B) Is it reasonable to use this line of best fit to make the above prediction?
Answer:
81. 54
4) The estimate, a predicted time of 81.54 minutes, is both reliable and reasonable.
Step-by-step explanation:
Given that :
The equation of best fit is defined as :
ý = -0.36x + 94.5.
A.) Predicted number of minutes spent with family (y) for someone who spends 36 minutes playing games (x) will be :
x = 36
From the model :
ý = -0.36(36) + 94.5
y = - 12.96 + 94.5
y = 81.54
Hence.nunber of minutes spent with family = 81.54 minutes.
B.) The correlation Coefficient for the model is - 0.9993, which indicates a very strong negative relationship between both variables. Hence, using this fact, we can conclude that the prediction is reliable. From the data also, spending 36 minutes playing games means such individual will have more time than someone who plays games for 40 minutes, hence, the prediction is also reasonable.
Answer:
Step-by-step explanation:
Let t represent the time it took Emanuel to drive home from college. If the total round trip took 11 hours, it means that the time it took
Emanuel to drive from home back to college would be (11 - t) hours.
Emanuel drove home from college traveling an average speed of 70 mph.
Distance = speed × time
Distance covered by driving from college to home is
70 × t = 70t
He drove back to the college the following week at an average speed of 62.7 mph.
Distance covered by driving back to college from home is
62.7(11 - t) = 689.7 - 62.7t
Since the distance travelled is the same, then
689.7 - 62.7t = 70t
70t + 62.7 = 689.7
132.7t = 689.7
t = 689.7/132.7
t = 5.19 hours.
Therefore, the time that it took Emanuel to drive from home back to college is
11 - 5.19 = 5.81 hours
Answer:
0.0433
Step-by-step explanation:
Since we have a fixed number of trials (N = 25) and the probability of getting heads is always p = 0.05, we are going to treat this as a binomial distribution.
Using a binomial probability calculator, we find that the probability of obtaining heads from 8 to 17 times is 0.9567 given that the con is fair. The probability of obtaining any other value given that the coin is fair is going to be:
1 - 0.9567 = 0.0433
Since we are going to conclude that the coin is baised if either x<8 or x>17, the probability of judging the coin to be baised when it is actually fair is 4.33%
Let’s say we have 1 and 3.
3-1=2
Thats an even number, so false, but lets check some more just to be sure:
27-3=24 (even)
13-5=8 (even)
75-3=72 (even)
So, the answer is false.
Answer:
3 miles
Step-by-step explanation:
Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles
This is the change in miles / change in time.
Chang in miles = 3
Change in time = 1
Slope = 3/1
Slope = 3
