1) Find the regression equation and r value   Drop Height, y (m) Square of Mean  Fall time, t^2 (s^2) 0.100 0.0188 0.300 0.0576 0.500 0.0980 1.000 0.198 1.500 0.305 2.500 0.508

10.  You estimated a regression with the following output.         Source |       SS           df       MS      Number of obs   =       333 -------------+----------------------------------   F(1, 331)       =   4608.21        Model |  32636494.1         1  32636494.1   Prob > F        =    0.0000     Residual |   2344225.8       331  7082.25316   R-squared       =    0.9330 -------------+----------------------------------   Adj R-squared   =    0.9328        Total |  34980719.9       332  105363.614   Root MSE        =    84.156   ------------------------------------------------------------------------------            Y |      Coef.   Std. Err.      t    P>|t|     [95% Conf. Interval] -------------+----------------------------------------------------------------            X |   30.79902   .4537022    67.88   0.000     29.90652    31.69153        _cons |   20.85313    42.1964     0.49   0.621     -62.1538    103.8601…

A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).The results of the regression were: ˆyy^=a+bxa=-1.778b=0.143 (d) If the life expectancy is increased by 5 years in a certain country, how much will the happiness index change? Round to two decimal places.(e) Use the regression line to predict the happiness index of a country with a life expectancy of 94 years. Round to two decimal places.

A researcher collects data between the age in years, (x), of a movie theater's popcorn popper and the cost of its monthly maintenance,(y).Find the regression equation. Round b to three decimal places.ˆyy^ =  + CorrectxxFill in the table to find the residuals. Round table entries to three decimal places. xx yy ˆyy^ y−ˆyy-y^ 8 58     9 98     15 102     4 32     7 60     3 31     2 25     What is the correlation coefficient? Round to three decimal places. Graph the data and find the outlier. Give the ordered pair here:(, )If your ordered pair is actually the outlier, then the correlation coefficient would increase. Delete the ordered pair you chose and find the correlation coefficient again. Type the new correlation coefficient rounded to three decimal places here: Put the outlier back into your data and then find the test statistic, p-value, df, and critical value(s) for a test to find if there is a positive correlation with α=0.01α=0.01. Round to 3 decimal placestt…

Complete the missing information for this regression model.  Note:  N=26N=26. (Except for P-values, report all values accurate to 3 decimal places.  For P-values, report accurate to 4 decimal places.) ˆYY^ = 26.759 + 0.818X10.818X1 −- 2.999X22.999X2 + X3X3     2.382   0.547   1.674   0.734       Standard Errors     11.234   1.495               t-ratios                 0.0991       P-values

A study in the univeristy of massachusetts amherst published in the may 2007 journal of marriage and family found that married women do about one fewer hour of housework a week for every $7500 they earn as a full time workers outside of the home, regardless of their husband's income   A) what would be the numerical value of the slope coefficient in the regression model that predicts womens housework hours from their income? what does the sign of the slope (positive or negative) tell us about the relationship between these variables   B) Suppose Lynette's salary is $30,000 greater than Gabriells. what would you predict the difference in hours of housework they each do.

26) Below is some of the regression output from a simple regression of the number of wins for a major league baseball team and the size amount of money the team is paying its players (expressed in millions of $'s) *fill in the blank table* Suppose that the team owner is trying to decide whether to pay a particular free agent player. Based on the player's previous statistics, the owner thinks that the new player can help his team increase the number of wins but the new player is going to cost more than the player he will be replacing. The owner decides it is a good idea to sign the new player if he can be pretty sure that the coefficient is at least 0.20. When testing this hypothesis, what is the test statistic? (please express your answer using 2 decimal places)

The regression line for a given dataset is found to be   y^ =76−7.51xx.       There is a pair of values x =7 and y =42 in this dataset taken from a specific individual. Compute the residual (error) of the predicted value y^ for this individual. Give your answer to two decimal places

Suppose you obtain the following regression model, E[y]=20+53*x +33*x^2. What is the impact of  a 63 unit change of x on the expected value of y when x is at its mean of 54?

Acrylamide is a chemical that is sometimes found in cooked starchy foods and which is thought to increase the risk of certain kinds of cancer. The paper "A Statistical Regression Model for the Estimation of Acrylamide Concentrations in French Fries for Excess Lifetime Cancer Risk Assessment"† describes a study to investigate the effect of x = frying time (in seconds) and y = acrylamide concentration (in micrograms per kg) in French fries. The data in the accompanying table are approximate values read from a graph that appeared in the paper. FryingTime AcrylamideConcentration 150 155 240 115 240 190 270 180 300 140 300 265 (a) Construct a scatterplot of these data. A scatterplot has 6 points.The horizontal axis is labeled "x" and ranges from 100 to 350.The vertical axis is labeled "y" and ranges from 50 to 350.The points are plotted from left to right in a horizontal direction starting from the lower left side of the diagram.Along the horizontal axis, there is 1 point at 150, 2 points…