The following data were obtained from a survey of the number of years’ people smoked(X)  and the percentage of lung damage(Y) they sustained.  a) Find Correlation coefficient  b) Draw a Scatter plot  c) Find the Regression equation of Y on X  d) Predict the percentage of lung damage who has smoked for 30 years.   X 22 14 31 36 9 41 19 y 20 14 54 63 17 71 2

5. For the following set of data: Y 1 10 5 4 4 13 a. Find the regression equation for predicting Y from X. b. Does the regression equation account for a significant portion of the variance in the Y scores? Use a = .05 to evaluate the F-ratio %3D X27 33

We conduct a regression of size on hhinc, owner, hhsize1, hhsize2, and hhsize3. Wedo not include the constant. The regression output is reported in Table 3. Would youconclude that the home size increases with the household size? Interpret the signand magnitude of the estimated coefficients of hhsize1, hhsize2, and hhsize3

Bluereef real estate agent wants to form a relationship between the prices of houses, how many bedrooms, House size in sq ft and Lot Size in sq ft. The data pertaining to 100 houses were processed using MINITAB and the following is an extract of the output obtained: The regression equation is Price = B + ¢Bedroom + yHouse Size + ALot Size Predictor Сoef SE Coef т P Constant 37718 14177 2.66 ** Bedrooms 2306 6994 0.33 0.742 House Size 74.3 52.98 0.164 Lot Size -4.36 17.02 -0.26 0.798 S= 25023 R-Sq=56.0% R-Sq(adj)=54.6% Source DF MS F P Regression 3 76501718347 25500572782 Residual Error 96 60109046053 626135896 Total 99 • Is y significantly different from -0.5? Perform the F test at the 1% level, making sure to state the null and alternative hypotheses. Give an interpretation to the term “R-sq" and comment on its value.

From the scatter plot, which of the following is TRUE? Scatterplot of Apartment Price vs Distance Apartment Price (in RM 1000) 250 225 200 175 150 0 1 Distance from Commercial Area (km) O a. We can conclude a significant linear relationship between apartment price and distance from the commercial area at a 1% significance level. regression line, the smaller the r. O b. The value of the coefficient of correlation is negative.

The age and prices of 11 Nissan cars given in the following data:   Age (in years) 5 4 6 5 5 5 6 6 2 7 7 Price (in $100s) 85 103 70 82 89 98 66 95 169 70 48   a. Obtain the correlation coefficient between the age and price of the cars. Interpret the value of the correlation coefficient. b. Obtain a regression equation of Price (dependent variable) on Age (Independent variable). c. What will be the Price of the car after 3 years? d. Find the coefficient of determination. Determine the percent of variation that is explained by the regression equation clearly.

The following table contains ACT scores and the GPA for eight college students. Estimate the relationship between GPA (yi) and ACT (x;) using OLS regression by hand. Report the intercept and slope estimates: Student 1 2 3 4 5 6 7 8 GPA 2.8 3.4 3.0 3.5 3.6 3.0 2.7 3.7 ŷ₁ =B₁ + B₁x₁ ACT 21 24 26 27 29 25 25 30 y X ŷ₁

After gathering data about the number of starfish and measuring the pollution in areas of the ocean you find a negative linear correlation between pollution levels and number of starfish. What can you conclude based on this information? a. There is a confounding variable that is affecting both pollution and starfish. b. As pollution rises the number of starfish falls c. That pollution is causing starfish to die, leading to the negative correlation d. That pollution is supporting starfish, leading to the negative correlation

The following data represent a company's yearly sales and its advertising expenditure over a period of 8 years. Sales in Advertising Expenditure Millions of Dollars (y) (in $10,000) (x) 15 32 33 18 35 37 22 44 18 41 19 39 24 42 a. Develop a complete scae s diagram of sales versus advertising. Explain what the scatt scigagram shows regarding the relationship between sales and b. advertising. c. Compute the estimated regression equation between sales and advertising? 6 If the company's advertising expenditure is $400,000, what are the predicted sales in d. dollars? e. Compute the coefficient of determination. Fully interpret the meaning of the coefficient of determination in the context of this f. problem. g. Compute the correlation coefficient. ( 16 17

3. Regression analysis breaks scores on the DV into... (explain and give equations)