the table shows the sales of admission tickets to a science museum. A table labeled Science Museum Admission Revenue. It contain

Answer:

a) Slope:

Intercept:

b)

Additionally, the coefficient of determination is

Step-by-step explanation:

Definitions and data provided

The correlation coefficient is a measure that quantifies the strength of the relationship between two variable movements, denoted as r and ranging between -1 and 1.

The sum of squares refers to the total of the squared deviations, where deviation is defined as the difference between each value and the grand mean.

When performing multiple regression, the aim is to analyze the relationship between multiple independent variables and one dependent variable.

n=110,

Part a

The slope can be calculated using this formula:

Following the substitutions, we have:

The intercept can be determined with this formula:

Average values for x and y can be calculated this way:

Replacing yields:

Part b

The correlation coefficient can be calculated using the following formula:

In our situation:

n=110,

We can compute the correlation coefficient by substituting values:

The coefficient of determination is

Answer: OPTION C.

Step-by-step explanation:

It is essential to consider the following:

Dilation:

• A transformation where the image retains the same shape as the original but differs in size.

• Dilation maintains the order of points.

•  Measurements of angles remain unchanged.

Translation:

• A transformation that keeps the image identical in size and shape to the original.

• Translation preserves the ordering of points.

• The angle measurements do not change.

Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:

Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.

Answer:

The Framers provides the more affordable price, being $1.35 less expensive.

Step-by-step explanation:

I've Been Framed:

50% of $115 amounts to $57.5.

10% of $57.5 equals $5.75.

Subtracting gives $57.5 - $5.75 = $51.75.

Total: $51.75

The Framers:

30% off $120 results in $36.

After discount, $120 - $36 equals $84.

40% off $84 is $33.6.

Subtracting gives $84 - $33.6 = $50.4.

Price difference: $1.35