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3 years ago

7

The correlation coefficient for practicing violin and getting better grades in a group of people is 0.8. Analyze the following s

tatement:
Playing violin causes students to get better grades.

Is this a reasonable conclusion?

1 answer:

Sedbober [7]3 years ago

7 0

Yes it is it basically states that it’s a general result

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A new pizza restaurant uses paid advertisement to increase pizza sales on Mondays. The table below is a record of the restaurant

Fiesta28 [93]

Answer:

Part A:

Find the attached

Part B:

y = 23.875x + 279.625

Part C:

Total Sales increase from one week to the next by $23.875. Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

Part D:

The restaurant's sales for the Monday of the 20th week is expected to be $757.13

Step-by-step explanation:

Part A:

The scatter-plot can be obtained from stat-crunch by following the given steps below;

The first step is to enter the data given into any two adjacent columns of Stat-crunch application.

Next, click on Graph then Scatter plot

In the pop-up window that appears, select the week column as the X variable and the Total Sales column as the Y variable

Click Compute. Stat-crunch returns the scatter-plot as shown in the attachment below.

Part B:

The total sales for week 5 is given as 399 while that of week 13 is 590. Therefore, we shall determine the equation for the line of best fit using the points;

( 5, 399) and ( 13, 590)

The first step would be to determine the slope of this line;

slope = (590 - 399)/ (13 - 5)

= 23.875

The equation of the line in slope-intercept form is thus;

Sales = 23.875(Week) + c

We need to determine c, the y-intercept. We can use the point ( 5, 399);

399 = 23.875(5) + c

c = 279.625

The equation of the line of best fit is thus;

y = 23.875x + 279.625

Part C:

The slope of the equation for the lines of best fit was found to be 23.875. This value is positive which implies that the Total Sales increase from one week to the next by $23.875. The slope in regression is defined as the change in y for every unit change in x.

Therefore, it is true to say that the paid advertisement is responsible for the restaurant's increase in pizza sales during the first quarter.

Part D:

The equation for the line of best fit was found to be;

y = 23.875x + 279.625

where y denotes the total sales and x the corresponding week. We are required to determine y when x is 20;

Y = 23.875(20) + 279.625

y = 757.125

Therefore, the restaurant's sales for the Monday of the 20th week is expected to be $757.13

6 0

3 years ago

Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

kogti [31]

9514 1404 393

Answer:

f(x) = x³ -5x² +2x +8

Step-by-step explanation:

If the function has a zero of p, then it has a factor of (x-p). The polynomial of least degree will only have factors corresponding to the given zeros:

f(x) = (x -(-1))(x -2)(x -4)

= (x +1)(x -2)(x -4)

= (x² -x -2)(x -4)

f(x) = x³ -5x² +2x +8

6 0

3 years ago

9 = -d + 17<br><br> A.-2<br> B.8<br> C.10<br> D.-8

Hitman42 [59]

Subtract 17 from both sides

9= -d+17
9 - 17 = -d + 17 - 17

-8 = -d

Then divide.

-8/1 = -d-1

Cancel terms that are in both numerator and denominator

Answer:
8 = d

4 0

3 years ago

Read 2 more answers

Which of the graphs below would result if you made the leading term of the

Svetlanka [38]

$\huge\underline\mathtt\colorbox{cyan}{Graph B}$

$\huge\mathsf\colorbox{white}{}$

<h2>Step-by-step explanation:</h2>

Graph B consists of a parabola that opens downward. If a parabola opens downward, the the coefficient of x will be negative.

<h2>More details:</h2>

There is an easy way to tell whether the graph of a quadratic function opens upward or downward: if the leading coefficient is greater than zero, the parabola opens upward, and if the leading coefficient is less than zero, the parabola opens downward.

7 0

3 years ago

Write as a product <br> x^10-1<br> y^12-16<br> a^2 x^8-81<br> 36-b^4 y^6<br> 35p^4 q^4-1

GrogVix [38]

Answer:

-72

i hope it helps

Step-by-step explanation:

8 0

3 years ago