Question

The paired data below consist of the test scores of six randomly selected students and the number of hours they study for the test. Find the linear function that approximates student score as a function of the number of hours he or she studied. Select the most appropriate answer


Hours - 5 10 4 6 10 9

Score - 64 86 69 86 59 87

Answer 1

The required linear function is y = 4.4x + 42

How to find a linear function

The standard linear function is expressed as:

y = mx + b

where:

m is the slope

b is the y-intercept

Using the coordinate points (5, 64) and (10, 86)

The slope is calculated as:

m = 86-64/10-5
m = 22/5

m = 4.4

For the y-intercept

86 = 4.4(10) + b

b = 86 - 44

b = 42

Hence the required linear function is y = 4.4x + 42

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