1 answer:
Using linear regression, the line of best fit for the ice cream sales in function of the daily temperature is given by:
y = 6.5x - 279.1.
Linear regression:
Linear regression defines the straight line, called the least-squares regression line or LSRL, that best expresses observations in a bivariate analysis of data set.
The general form is,
Y = B0+B1X.
where
Y is a dependent variable,
X is an independent variable
Give,
From the table presented in the problem, we have identified the points are:
(58.2, 112), (64.2, 135), (64.3, 138), (66.8, 146), (68.4, 166), (71.6, 180), (72.7, 188), (76.2, 199), (77.8, 220), (82.8, 280).
When we inserting these points into the calculator, we have get the graph like the following:
When we analysis the graph, we get the following values,
Best-fit values
Slope = 6.479 ± 0.5253
Y-intercept = -279.1 ± 37.11
X-intercept = 43.07
1/Slope = 0.1543
Through these values we have identified the line of best fit for the ice cream sales in function of the daily temperature is given by:
y = 6.5x - 279.1.
In which:
x is the daily temperature, in F.
y is the sales, in dollars.
To know more about Linear regression here.
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