a. What is the formula for the estimated regression line in this scatter plot (attached).b. based on the scatterplot is simple linear regression appropriate for these data? explain. Bivariate Fit of kWh By Tavg80kWh706050403020106065SourceModelErrorC. Total70Linear FitLinear FitkWh = -97.92389 +2.0010054*TavgSummary of FitRSquareRSquare AdjRoot Mean Square ErrorMean of ResponseObservations (or Sum Wgts)Analysis of VarianceTavg0.710050.7036078.38776347.021284775Sum ofDFSquares Mean Square17753.0237753.0245 3165.95570.3546 10918.979Parameter Estimates80F Ratio110.1993Prob > F<.0001*TermEstimate Std Error t Ratio Prob>|t|Intercept -97.92389 13.86158 -7.06 <.0001*Tavg 2.0010054 0.190616 10.50 .0001*85

a. The output of a regression analysis is given.

Answered: a. What is the formula for the…

a. What is the formula for the estimated regression line in this scatter plot (attached). b. based on the scatterplot is simple linear regression appropriate for these data? explain.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

a. What is the formula for the estimated regression line in this scatter plot (attached).

b. based on the scatterplot is simple linear regression appropriate for these data? explain.

Bivariate Fit of kWh By Tavg
80
kWh
70
60
50
40
30
20
10
60
65
Source
Model
Error
C. Total
70
Linear Fit
Linear Fit
kWh = -97.92389 +2.0010054*Tavg
Summary of Fit
RSquare
RSquare Adj
Root Mean Square Error
Mean of Response
Observations (or Sum Wgts)
Analysis of Variance
Tavg
0.71005
0.703607
8.387763
47.02128
47
75
Sum of
DF
Squares Mean Square
1
7753.023
7753.02
45 3165.955
70.35
46 10918.979
Parameter Estimates
80
F Ratio
110.1993
Prob > F
<.0001*
Term
Estimate Std Error t Ratio Prob>|t|
Intercept -97.92389 13.86158 -7.06 <.0001*
Tavg 2.0010054 0.190616 10.50 .0001*
85

Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.

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The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) x=5 wins (b) x=10 wins (c) x=21 wins (d) x=15 wins Wins, x Earned run average, y20 2.7118 3.3117 2.6216 3.8214 3.9512 4.4311 3.739 5.03 The equation of the regression line is y= x+ . (Round to two decimal places as needed.)
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The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) x = 5 wins Click the icon to view the table of numbers of wins and earned run average. (b) x = 10 wins (c) x = 21 wins (d) x = 15 wins ERA 6- ERA 6- AERA 6- ERA 6- 4- 4- 4- 4- 2- 2- 2- 2- 0+ 6 0- 0- 0- 12 18 24 6. 12 18 24 12 18 24 6 12 18 24 Wins Wins Wins Wins (a) Predict the ERA for 5 wins, if it is meaningful. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. ŷ= (Round to two decimal places as needed.) B. It is not meaningful to predict this value of y because…