Which scatter plot has a correlation coefficient closest to r=1

The answer with the work has been provided previously.

Answer: (97.98, 112.020)

Step-by-step explanation: We will create a 95% confidence interval for the average weight of melons.

Given the information, we determine that the critical value for the interval needs to be retrieved from a t distribution table due to the sample size being below 30 (specifically, 20), and we are provided with the sample standard deviation (s = 15 lb).

The parameters provided are:

Sample mean = x = 105 lb

Sample standard deviation = s = 15 lb

Sample size = n = 20

To establish the 95% confidence interval, we indicate that the level of significance is 5%.

The formula for the confidence interval is:

u = x + tα/2 × s/√n... for the upper limit

u = x - tα/2 × s/√n... for the lower limit.

tα/2 represents the critical value for the test (which will be determined using the t distribution table).

To derive tα/2, we look for the value based on the degrees of freedom (sample size - 1) against the significance level for a two-tailed test (α/2 = 0.025%) in a t distribution table.

For the upper limit, we calculate:

u = 105 + 2.093×15/√20

u = 105 + 2.093× (3.3541)

u = 105 + 7.020

u = 112.020.

<pfor the="" lower="" limit="" we="" find:="">

u = 105 - 2.093×15/√20

u = 105 - 2.093× (3.3541)

u = 105 - 7.020

u = 97.98

Confidence interval (97.98, 112.020)

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The third option is correct. Step-by-step explanation: Various transformations apply to a function f(x). If a transformation is applied downward by 'k' units, the function shifts down; if upward, it rises 'k' units. Additionally, if scaled vertically by a factor of 'b', it will stretch; if reflected over the x-axis, the operation is indicated. Thus, since the parent function has undergone reflection over the x-axis, a vertical stretch by a factor of 2, and a downward shift of three units, we can derive that the transformed function is presented.

A minimum sample size of 75 is necessary. Step-by-step explanation: We need to determine our level, which is calculated by subtracting 1 from the confidence interval divided by 2. Now, we need to find the z value in the Z table that corresponds to a p-value of [Z value]. Therefore, it is the z value with a p-value of [specific value]. Next, we calculate the margin of error M, where [insert equation], with [standard deviation] representing the population standard deviation and n as the sample size. The standard deviation equals the square root of the variance. With a 0.95 probability level, if the margin of error desired is 5 or below, a sample size of at least 75 is required.

Response:

Sampling with replacement signifies that a marble is selected, its color is noted, replaced, and the box is shaken before another selection is made.

There are marbles in total. The probability of selecting the first blue marble is , then when Maya places this marble back, the chance of picking the second blue marble remains constant. By applying the product rule, the probability of drawing 2 blue marbles consecutively is