Which is the best estimate of the correlation coefficient for the scatter plot?
1 answer:
Answer:
The best estimate of the correlation coefficient is 0.9 from the given data.
Step-by-step explanation:
From the scatter plot, the line of best fit will have a positive slope.
So, the correlation coefficient , is greater than 0.
so, ≠ - 0.9
Also, there is a deviation from absolute linearity.
So, ≠ 1
Again from the scatter plot it is closer to linearity than further.
Hence, ≠ 0.3 .
So = 0.9
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Answer:
(a)23 (b)90 (c)3
Step-by-step explanation:
The equation for the line of best fit for this situation is given as
where x=average temperature in degrees
y=average number of hot dogs she sold,
(a) The expected number of hot dogs sold when the temperature is 50° would be___hot dogs.
When x=50°
When the temperature is 50°, the expected number of hot dogs sold would be 23.
(b)If the vendor sold 35 hot dogs, the temperature is expected to be ___degrees.
If y=35
Multiply both sides by 10/3
If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees.
(c) Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.
Since approximately 68% of a (roughly) normal distribution falls within one standard deviation of the mean, that leaves 32% that falls outside, and by symmetry 16% should lie above one standard deviation of the mean.