math

I have the following points and have asked to find the line of best fit equation.
(2001, 17.60) and (2002, 18.75)

I keep coming up with y = 1.15x - 2283.55
but the answer book shows y = 1.15x + 12

1) What am I doing wrong with my equation?

This problem is about the average cost of baseball tickets over the years, so the +12 makes more sense in the context of the question, but I just cannot come up with that answer with my calculator.

2) I would assume that the 12 represents the amount that the tickets are going up, on average, per year?

3) They say that the y-intercept is (0, 12) -- how does this even make sense? If the x is the year and the y is the cost, in 0 years the cost was \$12? Please help me understand this!!

1. 👍
2. 👎
3. 👁
1. I'm going to correct myself on #2 above and say the slope, 1.15, is representing that on average the cost of the tickets is going up 15% per year?

1. 👍
2. 👎
2. I also get your equation. The only thing I can see is that 2283.55/12 = 190
So maybe they are talking about the average ticket cost since baseball was invented 190 years ago.

If tickets cost \$12 in 1811, then the costs shown in your plot are the prices after rising for 190 years.

1. 👍
2. 👎
3. the 15% angle is a good idea. Of course, now you have to do an exponential curve fit. To turn that into a straight line, use the log of the cost, turning your points into (2001, 1.246) and (2002,1.273)

log y = mx+b

1. 👍
2. 👎

Similar Questions

1. algebra

Consider the scatter plot shown. Which shows the line of best fit? Explain your reasoning. A scatter plot is shown in the xy-plane. The values on the x-axis range from 0 to 9 in increments of 1 and the values on the y-axis range

2. Math

The line has equation y=2x+c and a curve has equation y=8-2x-x^2. 1) for the case where the line is a tangent to the curve, find the value of the constant c. 2) For the case where c = 11, find the x-coordinates of the points of

3. math help pls pls

You suspect that the spiciness of food served in a restaurant is positively correlated with number of soft drinks ordered. You have gathered several observations of people ordering food of different spice-levels and the number of

4. calculus 1

The point P(2,-1) lies on the curve y=1/(1-x) If Q is the point (x, 1/(1-x) find slope of secant line. these are the points 2, -1 1.5,2 1.9,1.111111 1.99,1.010101 1.999,001001 2.5,0.666667 2.1,0.909091 2.01,0.990099 2.001,0.999001

1. algebra

There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They

2. calculus

a. find an equation for the secant line through the points where x has the given values. b. find a equation for the line tangent to the curve when x has the first value. y=9square root(x); x=16, x=25

3. algebra

Alexa created the line of best fit shown for the data points graphed. Is the line a good representation for this data? Explain your reasoning. A graph is shown in the xy-plane. the values on the x-axis range from 0 to 18 in

4. Math (again) - ASAP please

The scatter plot below shows the profit earned each month by a new company over the first year of operation. h-t-t-p-s-: //cornerstonetx.ignitiaschools.-c-o-m/media/g_alg01_ccss_2016/3/img_alg1u03l12_13.-g-i-f The owner writes a

1. math

Find the equation of the line of best fit for the points (-4,10) (-1,5)(2,-1)(3,-6)(5,-7)

2. Math (Calculus) (mean value theorem emergency)

Consider the graph of the function f(x)=x^2-x-12 a) Find the equation of the secant line joining the points (-2,-6) and (4,0). I got the equation of the secant line to be y=x-4 b) Use the Mean Value Theorem to determine a point c

3. Math

Use the following table to answer the questions. (Give your answers correct to two decimal places.) x 1 1 3 3 5 5 7 7 9 9 y 3 2 6 1 3 3 3 2 5 3 (a) Find the equation of the line of best fit. y hat = + x (ii) Graph this equation on

4. Math

The table shows how many miles Jack ran per week for weeks one through nine. x y 1 3 2 5 3 6 4 9 5 10.5 6 13 7 15 8 16 9 19 Question: a. Use the table to plot the points. b. Describe the correlation, including whether it is strong