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According to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.
<h3>What is linear regression?</h3>Linear regression is a type of regression which is used to model the statement in which the growth or decay initially with constant rate, and then slow down with respect to time.
The table shows the temperature of an amount of water set on a stove to boil, recorded every half minute. a 2-row table with 10 columns.
- Time (minutes X) 0, 0.5,1.0, 1.5, 2.0,2.5,3.0, 3.5, 4, 4.5.
- Temperature (° Celsius Y) 75, 79, 83, 86, 89, 91, 93, 94, 95, 95.5.
The sum of time is 22.5 and the sum of temperature value is 880.5. In this table,
- The mean of time value, 2.25.
- The mean of temperature value 88.05
- Sum of squares 20.625
- Sum of products 93.625
The regression equation for this data can be given as,
Put the value of temperature (y) 100 in this equation.
Hence, according to the line of best fit, the value of time when the temperature reach 100°c, the boiling point of water is 5.
Learn more about the regression here;
Answer:
D
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = , then
sin30° = =
=
( cross- multiply )
f = 24
----------------------------------------------------------------
Using the cosine ratio and the exact value
cos30° = , then
cos30° = =
=
=
( cross- multiply )
2e = 24 ( divide both sides by 2 )
e = 12