Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:

Using the slope formula. we get



Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:




Adding 5 on both sides, we get


Therefore, the equation for the given data is
.
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Answer:
-2.8
Step-by-step explanation:
Given that:
Mean, μ = 78
Standard deviation, σ = 5
Omar's score, x = 64
The Zscore of Omar's score :
Zscore = (x - μ) ÷ σ
Zscore = (64 - 78) / 5
Zscore = - 14 / 5
Zscore = - 2.8
Hence, Omar's exam score is - 2.8