The table lists the average monthly cost to workers for family health insurance for various years. Average Monthly Cost to Workers for Family Year, x Health Insurance a) Use a graphing calculator to fit a regression line to the data b) Predict the average monthly cost to workers for family health insurance in 2017, and compare the value with $447.69, which is obtained using the points (1,338) and (4,385). c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely. 2009, O $298 2010, 1 2011, 2 2012, 3 2013, 4 2014, 5 338 348 365 385 408 a) The linear equation of the regression line that best models the data is y =x+ (Round to the nearest hundredth as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 67E
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The table lists the average monthly cost to workers for family health insurance for various years.
Year, x
Average Monthly Cost to Workers for Family
Health Insurance
$298
a) Use a graphing calculator to fit a regression line to the data,
b) Predict the average monthly cost to workers for family health insurance in 2017, and compare the value with $447.69, which is obtained using
the points (1,338) and (4,385).
c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely.
2009, 0
2010, 1
2011. 2
2012, 3
2013, 4
2014, 5
338
348
365
385
408
a) The linear equation of the regression line that best models the data is y =x+N.
(Round to the nearest hundredth as needed.)
Transcribed Image Text:The table lists the average monthly cost to workers for family health insurance for various years. Year, x Average Monthly Cost to Workers for Family Health Insurance $298 a) Use a graphing calculator to fit a regression line to the data, b) Predict the average monthly cost to workers for family health insurance in 2017, and compare the value with $447.69, which is obtained using the points (1,338) and (4,385). c) Find the correlation coefficient for the regression line, and determine whether the line fits the data closely. 2009, 0 2010, 1 2011. 2 2012, 3 2013, 4 2014, 5 338 348 365 385 408 a) The linear equation of the regression line that best models the data is y =x+N. (Round to the nearest hundredth as needed.)
The table lists the average tuition and fees at private colleges and universities for selected years.
Year
1985
1990
1995
2000
2008
Tuition and
Fees
5404
9355
12,393
16,209
25,112
(in dollars)
.....
(a) Find the equation of the least-squares regression line that models the data.
(Type the slope as a decimal rounded to three decimal places. Round the y-intercept to the nearest integer.)
Transcribed Image Text:The table lists the average tuition and fees at private colleges and universities for selected years. Year 1985 1990 1995 2000 2008 Tuition and Fees 5404 9355 12,393 16,209 25,112 (in dollars) ..... (a) Find the equation of the least-squares regression line that models the data. (Type the slope as a decimal rounded to three decimal places. Round the y-intercept to the nearest integer.)
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