The following table presents the percentage of students who tested proficient in reading and the percentage who tested proficient in mathfor 5 randomly selected states in the United States. Compute the least-squares regression line for predicting math proficiency fromreading proficiency.StatePercent ProficientPercent Proficientin Readingin MathematicsIllinois7570Pennsylvania7977North Carolina7173New York7570Texas7378Send data to ExcelThe equation for the least squares regression line is y =Round the slope and y-intercept to four decimal places as needed.

We have given that, Proficient in reading (X) :-75, 79, 71, 75, 73 Proficient in mathematics (Y)…

Answered: e following table presents the…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 2ECP

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A music critic was interested in whether particular variables measured on a song change over time. Two variables the critic considered were a song’s Tempo (in bpm) and a song’s Danceability. We will use the songs written before the year 2000 from the original SpotifySample data set. The data set that you will use to complete this investigation is called SpotifyB2000 and consists of 483 songs. Write the least-squares regression line equation describing Year and Danceability usingproper notation and values. Interpret the slope of the regression line for Year and Danceability in context. Would the interpretation of the y-intercept for Year and Danceability be meaningful? Ifso, interpret it. If not, state why not in one sentence. Calculate and record the coefficient of determination value r2for Year and Danceabilityand interpret this value in context. State the hypotheses for the test of the slope. Write the p-value found in the output from (n), and use the p-value provided in the…
Draw a scatterplot of the right foot temperature (y) versus the left foot temperature (x). Then draw the least-squares regression line on the graph.
Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of thecompany wants to know how different variables affect the sales of his vehicles. A random sample ofyearly data was taken with the view to testing the model:SALES=?+?AGE+?MIL+?ENGWhere SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the totalmileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data wasprocessed using MINITAB and the following is an extract of the output obtained:The regression equation is *****PredictorCoef StDev t-ratio p-valueConstant1.7586 0.2525 6.9648 0.0000AGE 0.2124 0.3175 * 0.5042MIL -0.75270.3586 -2.0991 **ENG 4.8124 0.6196 7.7664 0.0000Analysis of VarianceSource DF SS MS F pRegression3 413.1291 138.7097*** 0.00Error 50 457.7607 2.2888Total 53a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ‘*’, ‘**’, ‘***’and ‘***’. d) Hence…
Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of thecompany wants to know how different variables affect the sales of his vehicles. A random sample ofyearly data was taken with the view to testing the model:SALES=?+?AGE+?MIL+?ENGWhere SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the totalmileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data wasprocessed using MINITAB and the following is an extract of the output obtained: a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ‘*’, ‘**’, and ‘***’. d) Hence test whether ? is significant. Give reasons for your answer. e) Perform the F Test making sure to state the null and alternative hypothesis. f) Given an interpretation of the term “R-sq” and comment on its value.
Eleven states were randomly selected from among the 50 United States. This data represents the percentage of households in each state that are below the poverty level (Poverty Rate) based on household income and the percentage of adults in the state who had earned at least a high school degree (HS and Above). (a) Describe the relationship between the variables. (b) What is the slope of the least-squares regression line for this data? Interpret this value. (c) Predict the percent of adults who had attained at least a high school degree for the state with a poverty rate of 15%? Show your work. (d) Find the residual for the state with a poverty rate of 15%. Interpret the residual.
The Heights and Weights of 500 preschoolers have correlation r=0.52. The average height is 30.12 Inches, the average weight is 40.90 Pounds, the standard deviation of their heights is 4.16 inches, and the standard deviation of their weight is 6.42 Pounds. 1. What is the equation of the least squares regression line for predicting their weights from their heights? 2. I'm 35 Inches Tall- Predict my weight.
Pre-study and post-study scores for a class of 120 students were considered. The residual plot for the least squares regression line showed no pattern. The least squares regression line was y-hat = 0.2 + 0.9x with a correlation coefficient r=0.85. What percent of the variation of post-study scores can be explained by the variation in pre-study scires? A) 72.3% b) 85.0% c) 90.0% d) 92.2% e) we can not determine with the information given

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