Answer:
16.373,16.4
Step-by-step explanation:
Given that a random sample of 11 university students produced the following data, where x is the minutes spent studying per day, and y is the first exam score (out of a maximum of 100 points).
x y
11 39
13 55
14 43
17 46
19 69
22 75
24 77
25 78
28 77
31 93
34 92
Observations 11
ANOVA
df SS MS F Significance F
Regression 1 3214.095153 3214.095153 69.46052448 1.59367E-05
Residual 9 416.4503017 46.27225574
Total 10 3630.545455
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 16.37281677 6.48384963 2.525169105 0.0324919 1.705329914 31.04030362 1.705329914 31.04030362
x 2.369323595 0.28428592 8.33429808 1.59367E-05 1.726224167 3.012423023 1.726224167 3.012423023
We get regression line as y =2.369x+16.373
a) value of intercept = 16.373
b) 16.4
Answer:
y = 3x - 5
Step-by-step explanation:
1. The slope-intercept form a line is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. Given the values of m and b, let's plug them in:
Therefore, the equation of the line in slope-intercept form is y = 3x - 5.
Have a lovely rest of your day/night.
The vertical axis in a Cartesian coordinate system is the y-axis. The horizontal axis is the x-axis.
Using it's concept, it is found that the probabilities are given as follows:
a) 0.1431 = 14.31%.
b) 0.7910 = 79.10%.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
Item a:
The number of people is:
23 + 44 + 28 + 39 = 134.
The number of people that prefer Pepsi is:
23 + 28 = 51.
Hence, for the two people, the probability is:
p = 51/134 x 50/133 = 0.1431 = 14.31%.
Item b:
There are 23 + 44 = 67 females, and 39 males who prefer Coke, hence the probability is:
p = (39 + 67)/134 = 0.7910 = 79.10%.
More can be learned about probabilities at brainly.com/question/14398287
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