Answer:
Regression Line is given by,
y = 22.909 + 0.209 x
The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436
Step-by-step explanation:
The equation of Regression equation is of the form of:
y = a + bx
where, a is intercept and b is slope
The formula for a and b is given by,
Here, ∑X = 1149.8, ∑Y = 377.2, ∑XY = 93115.95, ∑X² = 320246.72
Thus, a = 22.909
and b = 0.209
Thus, Regression Line is given by,
y = 22.909 + 0.209 x
Thus, The course grade of a student in the course who spent an average of 103 minutes in the course each week is: 22.909 + 0.209 × 103 = 44.436
Now plotting these line:
Let's split it into rectange and tringle
BC= 2.1+ sqrt(3.2^2 - 1.9^2) = 4.67
Answer:
Yes
Step-by-step explanation:
Graphs are functions when there is only one output for every input. In other words, for every "x" value, there must be only "y" value. This graph depicts a function because it abides by this rule. To be exact, this is an exponential function with the formula: f(x) = (x + 2)².
A double digit of the same number.
Answer:
a. There's a 95% chance that the true proportion is in the confidence interval.
Step-by-step explanation:
When we want to estimate a property of a population (a population's parameter), without surveying the population, we use samples.
Then, with the information of the samples we can calculate the statistics and infere properties about a population. This inferences obviously came with some uncertainty, depending on the properties of the sample and specially the sample size.
When we talk about confidence intervals, we use the statistic of the sample (in this case, the mean) to estimate a range of values it is expected to find the true mean of the population. The width of this interval depends on the sample standard deviation and the sample size.
The value of the confidence interval (95%, 99%, etc) represent the probabilty that the true mean is within this interval.
